Question
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
![angle 1 approximately equal to angle 4](data:image/png;base64,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)
- True
- False
Hint:
When two angles are formed on a straight line, they are called linear pair.
The correct answer is 'False'.
∠1 and ∠4 are a linear pair, so they are supplementary, not congruent.
Hence, the correct option is B.
The sum of the angles of linear pair is 180°.
Related Questions to study
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
![angle 1 approximately equal to angle 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAOCAYAAAB5EtGGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAVJJREFUeNpjYCAfuDEMHUAXt04D4uVYxNWAuBaILwyiAEF3qyMQbwPib0D8A4hvAfEEIBamxJKZQPwOiM2xyC0G4jQg/j9IAgSbW/cDcRAQsyGJGQDxDnItWYgnQJABMYGSCMT3oTG2F4hdsKjhoSBAiHUrDHwix5LFJFhCTKCcBGJ7IOaAJukNQLwOGjgcULkzZAbIYhIDRAmIb5BqyRoSLSEmUHhwFIig5P0HiB9CUxMt3SoOtQNUrngRawETNPZICRCGASpTSHHrfzRcQKwlLGQGCLGB8p9ITEu3CgJxAFJWJmjJFjIDhN4phVK3wrLySXwK2KD1OCWW0CulUMOtMPADlwQHtL6m1BJ6pBRquRUE9KCFLQbggrYXqGEJrQOFErceBOJQaLZjgjYHQO2leGyK95OQpP/jaOaTW1CSCihxqy20DPoBxSCzfBhGAX4AAGSjiXiVOADlAAAAhnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjIwOzwvbW8+PG1uPjE8L21uPjxtbz4mI3gyMjQ1OzwvbW8+PG1vPiYjeDIyMjA7PC9tbz48bW4+MzwvbW4+PC9tYXRoPrCUhc0AAAAASUVORK5CYII=)
Vertical angles are always equal.
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
![angle 1 approximately equal to angle 3](data:image/png;base64,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)
Vertical angles are always equal.
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
![angle 1 approximately equal to angle 2](data:image/png;base64,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)
Here, sum of angles 1 and 2 is 180°.
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
![angle 1 approximately equal to angle 2](data:image/png;base64,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)
Here, sum of angles 1 and 2 is 180°.
Which property does the statement illustrate?
![text If end text angle 1 approximately equal to angle 2 text and end text angle 2 approximately equal to angle 4 text , then end text angle 1 approximately equal to angle 4 text . end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT4AAAAQCAYAAACP6RPCAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAA7tJREFUeNrtW71rVEEQX0IIh9iIRYogAZEgIpJGRK4IBxIkhGBjIVYhYOW/YCE2YmEpBBEJIQTkCBZBBAlHCpEDERGREBAJFsHmiiByHIF1hsyR47H3bnff7L6P3YFfcfu+Zua3Mzs7750QxZB5UR4pk66RpyiRU0ORirHbgJ+A4yHHbeQFYFMxPgN4BPhaIMcnda0DmoAjQI90vV8QXWXAtg+bU31ZdOAfKconZY49Z5yqbnIAuMJozCqgA7ihOLYOeFCgCaXSdRdwD3CWfqNvPtJYlRJfmWxPm1OC9P2RwT+diiS+ssceJ6cjieR0xNoIY0yeuQz4BfgH2AHcGuIc17qiTAO+VSjxcdpeBJ4wiFYy+EdWIPFVLfaycppqtEwgi6wbBJPOs9qAOUAN0AC8BWwRCTU69tmDrn3papyzRHrjNnGfto4qu+9Se6FLVdYFxb3maFvSo3OXmSYBt+1581Sn4LRNVGkx0P+9APg0gi+sin/TOa/JdlvuQ4+9rJx6q/iahsGk80zVioKN0JY46UceUDJwrSvKTdryjZKNgbYB6vZdYTdO/GdUSfXP202cd5nK/KsDW84mA1cubM+TpwmqRqczzuW0ig+rjnfEyTC+UMc9SmJjtKV8bsl96LHHxanTxDdGK4FpMOWxhbDVtUYrYN3ieT2F3Q2N814JdV9NlsR2Xzw9BTxk8E9a4tvQ4GtLwdehJfehxx4Xp84S37il43WfKTXhUtdzVObPM/lbt5d0qNgq2XLl2va8eLqmqERdJD4dHv4CJhNjR5bchxx7nJw6SXxozLal432vOra6XqTAv2RwDX4usC9OPw2yTXzHTH7zabtvntoK/Xy93JCaicJF4qty7HFyyp74JqjnYet4n6uOra7Yz3kJOGNwzSr1cGoMFV+XtgdZuPJle148cVQjXImvo+EvjsRX9djj5JQ18WFQv8/oeF+rjq2uuGV5Q6uViRwxbnVbir7aeQO/+bY9D54451XPcKFJjuNb3BXHiS+E2HOmb5bEhyvaTpGMcaTrtjh9g2ciewOTfwrwRJz06qYsJj/q/IGuxYBcpN6HLKjtefCkO682afxOynX42ZDJy6TkOG7P8BOVfj8U30iuMSa+UGLPJGdJjpvoSMugBJZC/VcU1vLVka62pTY2Zr9Q9dAm0h8D/lhO/hnqs3Up6c1q+isP2/PgiTPxNYinLH2568QT9mfxM6YlxsQXSuw5S3xRooQoGFwL0Q1RokQJRWapAhuProgSJUoogn3SyeiG6st/IKJgf0X6YGwAAAGAdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10ZXh0PiYjeEEwO0lmJiN4QTA7PC9tdGV4dD48bW8+JiN4MjIyMDs8L21vPjxtbj4xPC9tbj48bW8+JiN4MjI0NTs8L21vPjxtbz4mI3gyMjIwOzwvbW8+PG1uPjI8L21uPjxtdGV4dD4mI3hBMDthbmQmI3hBMDs8L210ZXh0Pjxtbz4mI3gyMjIwOzwvbW8+PG1uPjI8L21uPjxtbz4mI3gyMjQ1OzwvbW8+PG1vPiYjeDIyMjA7PC9tbz48bW4+NDwvbW4+PG10ZXh0PiwgdGhlbiYjeEEwOzwvbXRleHQ+PG1vPiYjeDIyMjA7PC9tbz48bW4+MTwvbW4+PG1vPiYjeDIyNDU7PC9tbz48bW8+JiN4MjIyMDs8L21vPjxtbj40PC9tbj48bXRleHQ+LiYjeEEwOzwvbXRleHQ+PC9tYXRoPrp2+yoAAAAASUVORK5CYII=)
Same applies on number and shapes.
Which property does the statement illustrate?
![text If end text angle 1 approximately equal to angle 2 text and end text angle 2 approximately equal to angle 4 text , then end text angle 1 approximately equal to angle 4 text . end text](data:image/png;base64,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)
Same applies on number and shapes.
Which property does the statement illustrate?
![text If end text stack H J with bar on top approximately equal to stack L M with bar on top text , then end text stack L M with bar on top approximately equal to stack H J with bar on top.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAUCAYAAAAz84cVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAAx9JREFUeNrtWr9rVEEQXg6RQ9KnCMEmhVgFRA6xkMAhwUJsLFKKkH/BQkQsBLEQOWxSBRE5sDhS2UlIISJYhCASAkGCxWFzhUgIQThn4Xu4LPv2x9ude++Z/eArcjOZzJv9bnZnX4RIj2kCNiWPWeRZF9pSn7O+ThkZGRkZGRkZGRkZCYYKHavEQ+Ifz6HhmNgJsNn8Y+GKfULsO2L08ewdpvrWiabVpzY9mRbmiHjZ8/eXiHsBNpt/LFyxl/C8ryw+c3j+0BwnLRB+nfURTdPTNHKx7hCHATab/z3id3yDP5R0nrmKuRT2XeLY4rMBn2Gizt4k4c+iPpxrGKqnoAULvRt9THwQYLP5fybeIHaJK8Qt4gjF68L2pWIuqn2f2CvZwmX3eOKIIwJqVvx8i/gJR4kd4qIhzhrxB3w28cymWHdxFLXFqqs+nGsYqifWjv8O3zpfm83f1AluErdxpjxCR6mSi2p/Cqq4QDwgLnvECe3494nviZeUrrij+fUguEWcV9eJLwyxpOifEy9aYtVZH841DNUTq/APhP1t2oLBf4FpK3fFLuyFyFQMlMXer5CjTfhvtc+ksE+1z0bo+CrGhlgrHrGaWJ/G6SlG+LLov0ts53DO0/2PA44MIa+mbbmY/vZY6cDXiV+RsyvHKsLvevjL3Oe1z34lnCNmVR+uNayiJzbh9zDAmHAN25vuv83UKVyxdfsGzobFFn4lMsdp5Oc+AokRft31aZyeYoS/hiHM12bzj+0Wrti6vY9B7KV2nnXF4RL+BCLjujmaVX241rCKntiEP8DgVmZbD/CPxcAxNOn5dHCU+IZt1Ja3D06F+SWKr1g3PWoTI/y669M4PcUIf4RrOhO2DLaRYThLBRl7NTDXN8oWbvMboia224Ndw3AaIlb5IuYQNyACtzavEwqfsz4p1zCFnryu4mOEPykZ3Ey2DgYmrtfcE8u2et6Rq+uZfIQvF+Bn5Ln8KvEjrv3kMHk7ofA565NyDVPoqTH/ny+Te0Z8KNqLIWOny/jP9CQHpBN0wkctLvSy+Hedl5H1dGYgX5DM5zK0D38B78Tcy84AVdoAAAGfdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10ZXh0PiYjeEEwO0lmJiN4QTA7PC9tdGV4dD48bW92ZXI+PG1yb3c+PG1pPkg8L21pPjxtaT5KPC9taT48L21yb3c+PG1vPiYjeEFGOzwvbW8+PC9tb3Zlcj48bW8+JiN4MjI0NTs8L21vPjxtb3Zlcj48bXJvdz48bWk+TDwvbWk+PG1pPk08L21pPjwvbXJvdz48bW8+JiN4QUY7PC9tbz48L21vdmVyPjxtdGV4dD4sIHRoZW4mI3hBMDs8L210ZXh0Pjxtb3Zlcj48bXJvdz48bWk+TDwvbWk+PG1pPk08L21pPjwvbXJvdz48bW8+JiN4QUY7PC9tbz48L21vdmVyPjxtbz4mI3gyMjQ1OzwvbW8+PG1vdmVyPjxtcm93PjxtaT5IPC9taT48bWk+SjwvbWk+PC9tcm93Pjxtbz4mI3hBRjs8L21vPjwvbW92ZXI+PG1vPi48L21vPjwvbWF0aD5hXPV9AAAAAElFTkSuQmCC)
If a=b, then b = a.
Which property does the statement illustrate?
![text If end text stack H J with bar on top approximately equal to stack L M with bar on top text , then end text stack L M with bar on top approximately equal to stack H J with bar on top.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAUCAYAAAAz84cVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAAx9JREFUeNrtWr9rVEEQXg6RQ9KnCMEmhVgFRA6xkMAhwUJsLFKKkH/BQkQsBLEQOWxSBRE5sDhS2UlIISJYhCASAkGCxWFzhUgIQThn4Xu4LPv2x9ude++Z/eArcjOZzJv9bnZnX4RIj2kCNiWPWeRZF9pSn7O+ThkZGRkZGRkZGRkZCYYKHavEQ+Ifz6HhmNgJsNn8Y+GKfULsO2L08ewdpvrWiabVpzY9mRbmiHjZ8/eXiHsBNpt/LFyxl/C8ryw+c3j+0BwnLRB+nfURTdPTNHKx7hCHATab/z3id3yDP5R0nrmKuRT2XeLY4rMBn2Gizt4k4c+iPpxrGKqnoAULvRt9THwQYLP5fybeIHaJK8Qt4gjF68L2pWIuqn2f2CvZwmX3eOKIIwJqVvx8i/gJR4kd4qIhzhrxB3w28cymWHdxFLXFqqs+nGsYqifWjv8O3zpfm83f1AluErdxpjxCR6mSi2p/Cqq4QDwgLnvECe3494nviZeUrrij+fUguEWcV9eJLwyxpOifEy9aYtVZH841DNUTq/APhP1t2oLBf4FpK3fFLuyFyFQMlMXer5CjTfhvtc+ksE+1z0bo+CrGhlgrHrGaWJ/G6SlG+LLov0ts53DO0/2PA44MIa+mbbmY/vZY6cDXiV+RsyvHKsLvevjL3Oe1z34lnCNmVR+uNayiJzbh9zDAmHAN25vuv83UKVyxdfsGzobFFn4lMsdp5Oc+AokRft31aZyeYoS/hiHM12bzj+0Wrti6vY9B7KV2nnXF4RL+BCLjujmaVX241rCKntiEP8DgVmZbD/CPxcAxNOn5dHCU+IZt1Ja3D06F+SWKr1g3PWoTI/y669M4PcUIf4RrOhO2DLaRYThLBRl7NTDXN8oWbvMboia224Ndw3AaIlb5IuYQNyACtzavEwqfsz4p1zCFnryu4mOEPykZ3Ey2DgYmrtfcE8u2et6Rq+uZfIQvF+Bn5Ln8KvEjrv3kMHk7ofA565NyDVPoqTH/ny+Te0Z8KNqLIWOny/jP9CQHpBN0wkctLvSy+Hedl5H1dGYgX5DM5zK0D38B78Tcy84AVdoAAAGfdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10ZXh0PiYjeEEwO0lmJiN4QTA7PC9tdGV4dD48bW92ZXI+PG1yb3c+PG1pPkg8L21pPjxtaT5KPC9taT48L21yb3c+PG1vPiYjeEFGOzwvbW8+PC9tb3Zlcj48bW8+JiN4MjI0NTs8L21vPjxtb3Zlcj48bXJvdz48bWk+TDwvbWk+PG1pPk08L21pPjwvbXJvdz48bW8+JiN4QUY7PC9tbz48L21vdmVyPjxtdGV4dD4sIHRoZW4mI3hBMDs8L210ZXh0Pjxtb3Zlcj48bXJvdz48bWk+TDwvbWk+PG1pPk08L21pPjwvbXJvdz48bW8+JiN4QUY7PC9tbz48L21vdmVyPjxtbz4mI3gyMjQ1OzwvbW8+PG1vdmVyPjxtcm93PjxtaT5IPC9taT48bWk+SjwvbWk+PC9tcm93Pjxtbz4mI3hBRjs8L21vPjwvbW92ZXI+PG1vPi48L21vPjwvbWF0aD5hXPV9AAAAAElFTkSuQmCC)
If a=b, then b = a.
Find the measure of each angle in the diagram.
![](data:image/png;base64,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)
Find the measure of each angle in the diagram.
![](data:image/png;base64,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)
Complete the statement with <, >, or =.
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)
If m∠ 4 = 30, then m∠ 5? m∠ 4.
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
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X/d0XT6jdT5QUvG/nZrjGfKHVYZ5WvaGS/xDoqP+FxZb6Ze7byJBFDvphscNW85ZZbdMwxxwTSx6bvoRduv/12vfvuuxo9enTQ9HmG5MG5NJw8T9faXSB39nvD4I0Ewvo0zyYiImK+wkJB9r6EdJjM+7777gumC8w3DDzCM6U2a0SbGa/CCxepcuNtVLb5Sara6wBVbNhBZUvPItkXpij/8V2q3ml3Vay7rco3OlW1PQcEN05NHKLM6TuqfBU0+/YqP+wBpQdkwmlzA07I3J8/DzR3Rg7Td8Fv4VkwepgOXDqtjz/++DC47Isvvgi/zX3yWUL4NAD+fJ3s2c8+1+b9ur4eERExf2Kh6aAFTDWItkqnJP7n6667bhhsxEjZYGRIT1Th7XtVe8lDSn00StmHrlDNpmsaGc8i2dPVW1Oi/M8/K//DT8r/aI1JZdHmX/ge884WKl9hbZUuta7KT3pSme/mnubrz8EbPZaeDukzsfozzzyjCy64ILhn4oqKfz7rZ599tp577rkQeoGY/k7cELuTepLwSWOfm3D8epHsIyLmXywUZO/Ehh2acMBMI0jH5HHHHRdCB08l6EJWDeVG+BMq1WC8VP/ctaredPXZIPvpID1W9c9cosr2G6psmXVUusyOqrrpI+WKMx7OcTgRO+G6Bo74/ULKDDBjPlxCKeOqibcOYZQZiYur5pVXXqn3338/DChzeH5JQvdrkSeEj7C/Rc8mIiLiL8ECb8ZxkkF7xROFUAJEiCRwGN4npE8P9U9eoeqOa8xhsk8r//Uzqt27s8qWW0dly3ZQaccLVPf2L1O9ceY0/DkgTsasN6d1s449n6kPmQLx0EMPDZ23mHaIBorrJumYdhhr4OdxDc5t7jrJtIiIiPkTCzTZO9lARGjw55xzTggHTCckHbRM3u3kzNLXHXOD7BvG9VH63ENU3mZtlS3dXmUrbKvKS99WbsLcs9dzTxCxk3ryNztBJ7Vw0rC7MwqXsM/du3cPoZQxe9HPwfNjAnZ+88CBA4Omz1eCE7w3Ir6N+LUjIiLmTyzwZhwIBmImKiT2ZzxwmEicUAKECfZjmtM85zjZV/2g3O1nqXJtI3mIftmNVb7z1Ur3Mw258ZC5Be5resJvd4GUPR3iR3sfNGiQnnrqqdBAeihlfPRZJ4Dc008/HY7hmTip+xJJXisiImL+xAJP9miZhATAs2SttdYKLoa4GzLACHKDgFyrnatkX1+m+ueuUXXnTSy/dkb266ls0y6qefI75Wsaj5kHSBKv32uSnEnjuSS1cwKsMQoXl1UmOj/xxBNDvB1G4mLiwYuHvhDm6sVVE9OYP9uIiIgFAws02UNgeNoQ9hfTA26Fp556auhkhJAgI0jevUqaktOcI/u0Cl8+otr9dlCZ5VUG2a97sKp69LY2oJjf3Ab3BXE3Fb9f1nlekDTPhOeB+DEsGaOA6yoeTfz2Qw45JJjFaESJGoqXE7GGPvvss/AseK4O8mj+2URERMwPmO/I3knjz8TBYCC0+oMOOiiQMiECHnnkkaB9uiYPgeE3znpTzBmyNw137AdKnbRfGEBVtuTaKl19T1Wd/YJyE4qjcecFkmTu4kQO2Ae5Q9CulTf9LWxzDpo+z/CNN94IoRcYgYxpB68dPJ2YFP2FF14I0ydiKmuuIW0Ofs2m4mhun0tERMTsYb4jeyctlgjExDYV3snMCYDY7ldffXXwJIGImKqPDkU6H50gPK/mMCfIvqH8G2WuOUEVbdcr5rPijqo45TFlf0w1HjFv4M+kqTh8m2eRTHc0l0ZDyaAspj8866yzgqvm//zP/2iJJZYIsfR59nxFMbEKz3lG4BrJd+vv1eH7/Ri2/diIiIjZw3yp2XuFh9jR0J0UnCBIJwYMrpZonUsttVTwE6cjkbg4DieKJKEkMdtkn5qk/GvXqarjxipdup1Kl91U5btdqNpnvlL96DHKjxyl/HdFqR89SYXqeafpz0kw0IpQynfccUdwzaTzFv98ZsvCi4c+Ekw7PiGMg3fFl0TyHfLu3KzW9N34O/b05HZERMTsYb602VPJIYekXTlZ6RkpS2fiueeeGzR6NM5rr702eIywD5AHxIKQV3OYbbIv+065m45Q2errG9mvp7IVOql8h2NVfeolqjnpHFV3Odukm6qP76qqS59RZkBp44kLDnjmvAOeK/Z8zGZ33nlnIHnGM/B86C9hkBahF4YNGxYaYp47zyrZZ8J7QEjzBiAp/q6S79slIiJi9jBfk32SAJKkz0hZYrQTo5647bhaMikJI0SdLPxcP38akm5E/cMXqKrtUir5GyGOt1TFqW+oUDITZF/6rXLdD1TZsqup5L9WVuk/V1Pp3wlxvLxK/r9G+T+W99+W0JR1zlbdS2MaT1xwwHOHmFlC2k76TO2I2WyPPfYI/vmY0rbaaqsw1oFnNWTIkPBFwPMHPDfW/R36+/H8/QuAbU/3d8fxERERs4f50ozjhOCk4JohwMuGiTqYdQrXQEZ9YkagAXBtkWOdJDwPlk0JP//Gfao9fC9VbLuPKvY6TTW39FWhovgV0CKyr/xF9U9crqp9DlHF9gepctdDVLnLwarcOSE7HajKHfZTxfH3KvPZpMYTFxxAuC7+HFnHC2rAgAFhlDL2/O222y6McYD4d999d11xxRXBVfOHH34I74xz/dn5O3FJ5u358w6T7zEiImL2MF930ALW6Sh0QiBYF/PIMoAKDxHml8W0gAcJx0D4SJIgOI99fyCNXEYNtTVqqDapqVND2rRQ4yNIqUVkT4CdTMrObczjz6TWrlW/4JEWz8zfCc/QhW2eM52zhF64++67deyxx4Z5frHld+zYMZh2CL3w4YcfhtG6vEeeH5LMp+l78ev5vmmeeURExCxhviR71+gAS/euKSsrCy5/uFri+80ITzplsRE7gfhXANvkhTixtJQ0OK5FZN8K4M/QhWfLM+Z5+n4aWvfPJ5gamj3vB9POFltsEcY+4BLbv3//8K5oJJzofZl8X0hre84REXMb86UZJ6nROQkAwvRiJ8Z0g7mA4f1EcfTjICInD85JEgrCMS0Bx0WyLyJJ7jxTnqc/X5b+PFi6qyazZJ1++unq1KlTCKPMBDL0r9Chjhsnx2D7J2/ycfH35PkmJSIiYvYwX5I94oTigHwJzYuLJbZ6olsS/watEjhZsOT8JHkkCaQl4LhI9kXw3Nw05p2oyWfs60kw0IqGGXt+ly5dQsO8yCKLhGe52267Be2fDvVff/11mgFvLGkAItlHRMx5LBBkz3a/fv1CpyzmAWZZgojREJ0c/HgnH5akNdUUWwKOi2RfhD9H1/CTWr4/C3+2fqyDEc6ESqYDnflvMeswIAuXTfz1ceHE3k/IZQf5JN+XS0RExOxhnpI9ldZJormK7Nsc48exZLAOrpbEZ0GrZ1IS7MNohZAQ2maSIPz8pMwMyCOSfRE8V8jdn60/X9KbPlff5w0sgmln7Nix4X3hoUNIC7x2mEkMMw+hlB999NHgqknjkETymr7dFMn9ERER08c8I3sqJCQAOTsZsEwSiRNIkkwgACbOZpJsbL90yjJ4B1fL5Hm+/mfSUnBsJPsi/H0k8WfPlDSO9/2s887pXGfAVa9evXTRRRcF/3wGwzEJOqEXmBoRsxwNg3fgJq/B0suEp7PdNA2JiIj4I+Y52XvlZNlUK29KEmiFTEDSo0ePYPdFq4cUGD2LVj+3wPUj2c8+/F06eNeEs+D98aWGl84OO+wQopXS6c6o3Jtuuim4ahKIjYY+SfqUCVcQKDuIlx3E93FcRETEtJgnZO/k7hWfpZM94iSfBPshhueffz506nnnHp1++HZ7BZ8bIN9I9rMGng/vsznxd4YnDv0tdNJiz+erjVDK2PTx02duAr7ePv/88xBn3z13PG/W6TtIlh3Ki3cgsx0RETEt5gnZuybmhE8FZd01MdK8gvoSrR6/bNwrl1122aDVX3XVVRo+fHjwu/c85kbFJs9I9rMGno+/V3/HEDDvjDLgYB+aO2GScce85JJLQlA7THVMjbjtttuGWbKeeeaZEPOITtzkeydf1pPbXMcbhYiIiGkxz8ieikplZB2hglJRqZgupLEkHWJFi6fS/9d//VdwtSScLvFWqNDk5cfPaZBnJPtZA8+n6Tt2MkbYToJ9uGoyMvq5554LHleYdfDa8T6ayy67LHwFoOXz3pMgT9fo/XoRERF/xDwheyqhkz1E7UQAMSCsI6QDKi9a/QUXXBAqfJs2bUJUSzpl2UdeLOcW8ZJvJPtZQ/J9+jt2sO7SHBhdS4POwDnCYfDeCXSHaYcBWQzW4svOx1aA5sh+evlHRLRmzBOyp/IlCYAK6UJl9UbAtTKCbPXs2TMMu19hhRWC5wax631WJCp3JPv5Ezwf3qO/5yQBJ6UpOAbTHc/YO3CZC5dImu3btw/vgA7c7t27h0B4hGfweEh+Tf/iYz0iImJazBOydzSt+GxTOV0rA3TGEdjsjDPOCIHO8NIg8JkPoGqucZjT4N4i2c88eB9J8uWdso34e2fp60n4PpYedoGomddff30IYc3E5wRYYyJ0gt89+OCD6tOnTxiF6w1/8loRERHTYp5p9lRAJ2u2EUg72XFHGrFumECcz3gqN5ET0fQgAK/MTiKcxzlzGuQZyX7mwHPhfUC8Trb+zhFv6Fn6OucgrPu79XTOYX4CbPn/+c9/gkkPf3w66ikX2PLpwMVvH9MO74tzQHxHERF/xDw140AEyQoJ2SfJAa3+9ddf1yGHHBIqNZ2zDz30UKj0gHOdMPyLYG5UbPIsLS0xsu9hZL+ckf3GRvaPGtnj8ulaI9dtFO4hsdmszCSay8KlKaaXPi/BM+P9uMcM2wjryW0XP8cbbcqBf7GR5sfwrt1rhw57Rk8zEAvzHtMjEobhmmuu0TvvvBM6cMknIiLij5hnZhwqvFdkQGVmGwFU9FGjRgVtmmnuIHtMOYMHD55KCt7Jy4AqBCKYG+B6v5P9skb2GxnZP2Jk/6vt82tC+o0CMTnjTk9mEslTuaILV2yanR/3V8MbYp4fwnpSW2fp2w7W/TxfRzg+Cc6jzwYtnnDJmHbQ8BdbbLHgnw/pY+5jQpWIiIg/Yp6acajQTYV0gEslrnd0yuKBs9dee4VPdCo453vDgLg3jp87p1EwQp9SMknde1yj5ZZfRpt0hOwfNrIfp4YCjRMEn6Bg7qNg5NRUICyXJNj8MyH7xixpGtFVXXA8NCq0/41QG//Y5kmQOr/Ayd7fcbIMzMx783NcSQCUFUJoMO4C0w6mtkUXXTQEyWNAFuWGWDuUnSTIy+8F+D2SN0tPdzQ9PiJiQcY8IftkpaFiQdgsvRKxTVgEQiEQIItOWVwtR44cObUS+vm+TnpzFXROoNBQr8klE9T9uqu1/ApLa9PNNtbjPR/RhAljjYShWyOeBiN9O04FE4goiBF/LiF2f0EK3Gfj/RuDh1uG7xrFiT20D6TZKbQleVuH4OtMmEYdSZtYTo3/G3Ga8MfWnH8Ss46m78Xf3czCz+Nde7nh/fNlx5SHxNPBLZN4+Zh2GIC36aab6swzzwzKA31AmIE4ByTLEXmSn5uPktfw8uXHsJyV+4+ImF8wzzR7pClJe4XDo+Lhhx8ONnq0MzplcbWk083hx7t4XqzPaWCqKS2brOtv6q4VV15Om2/RUU89+ZgmThxnO9HsG8keos+bGFkUxdKSYsSBNNQbgdhxQbhvu2VIPRC7CTyUszSE9UD2tuQ4yB6vcuJBVpsEsg8tg5FWaESM/Ox+rDmdr8h+ToJ3nSRg1iFlCN/nwiVyJhOmdO7cOYRQJsgaA/EYkMXk6MTa4YvQywtL8vJy5Ndgvlz6jmgAPJ1rzc0vyYiIeYF5ZrOnclGZECqNEzZa10cffaRjjjkm2F7R0JjPFI2MCtcc/Fwqo1feOQnLXWXlJbrh5uu00ipttMUWm+nppx7XpIm/2k4j8CTZB83e7jOIpeWL0pCQQsHI3iRnkrWGxFICkQdN3oR1fikytSFIpKPZQ/hIhv3sQO2338/1IXzueWGFv2uWiJO9b+Ophd89sfGJkX/EEUeE6RAZiYsn1aGHHqo77rhjqqum9/d4vl6OyBOiJz/Pn32UQ4TtiIgFFfNMs6fSUIGoqF7B2Maf+tZbbw2mG2z1p512WqiUPkqSc128cie35wbIu6SsRNffeJ1WXGkFdeq0mZ58oqcmTvitSO7YWJzoMeVAti7WEDQV0w2D1Bt1Z0zStg7p500Kpp2j7ZveaGKEYzzOz0Lgc+Yoz1oaGj3C/iTZN9g9YHZamMk++e4Ryo4rDb6fNEga0w6aPBr93nvvHTx3GK+x3Xbb6ayzztLjjz+ur776KrjRujuv5wmhuyuwX4t13+Y6ERELKuaZzd4J3isqFYgY50xqgeaFrZUKiacFUS2BV3KWXqGTlXxuoWDXmlwyRd2v76E2K6ygTTfdTD0f76kJ4ycUWZj7wYQSzCgmRrR2Z0Eg3qIwBqAoajD93KTQYFTfkDLStj9bzxUy9puyyuXrbTtvUlDW1P18veWIGKlzOWtOpmr+lhzamiA818YrcxcLKxUl3z3lxsuAlw/2sQ7YpgMXLy6IHds95kFMO/QHbb/99iGePr77+PBzrJdLyJ68WScfxLcjIhZ0zDOy9wrqlQcNCjc6PCpws0SIfEgl5TMbcJyfB1inQpLuDcDcQN7ynTilVFdfd72WbbOSNt50cyOOJzVhwkRaAmMfiNaIBrIxcb0d4S9fMJKnI9eIXDmTbCZIQ33aNPWUkXZdIP28rZOWr88ayZtYI5G1BiRv6nwDKrwxOyYdLhls+nZvCNueZjkEoSGYu03gXwfef5LknYy9DLCONC0rxNpxe/6xxx4bXDX/8Y9/hCXeXrj5fvbZZ6FviOM9Ly9nyWuCuVXeIiLmBeYp2ScrJh1rTz/9dHCdw22OuCcMj2cAlR9DpfaKDbwSznWyNyadWFKua66/WcuuuKo6duqsnk88a2Q/uciodlknYSwqkL3phEEg/ED2EH19keSVRtJ2IJNr19nRtXZujeVRa8cUCb+Alm9fAXnMMvb7ggqPBA2+eB00fAQ9k9uA4PHQCbb8xrSFEbz/JOmyhIidkNmmLFAuPM3LBvsmT54cSP2GG27QvvvuG0yGK6+8coihj6smcXgwHRJGmXPJh+u5eBmcW+UtImJeYJ6RfbICUoFwq8S9Eu+bpZdeOkQ6ZNo693qggiGA8xDOm1dkP6msXNfeeIuWW2k1bbbF1nryyV6a+AeyL2r2RkOB5F2zZ6sB040RuHImjOrMQPZ1dh4+NVWWQZU1CLbM1RrZ25cMxwazjzWKpt0Hdg/i1ypeOgjrJpA9RE8H7sJM9sDfN0L5oBzwBYhQLrwssE4a+zkOsMQ+76Nwu3TpEmY+W3zxxbXSSiuFeXGZDY3JUjAtkofDyyLLuVXeIiLmBeYp2bNEqFB44NAZyyc1Qa7uueeeEMLYGwU/1kEaldDz8WPmBoLN3si+u5H98kb2nTbfSk/1fEaTfp1o5AwR23Vt2QDJ5I3cjaTrjW5dCkoH44oajIbzJkboQeqN6PMVdoFyW5pkbT1jhJ81/ZzjGkIXrf02Ixt+WyPZB8JvJP0gtk57EDpvETssmHfC3S+c4H1Durx/195ZIpSLoBxQRuy5ZWxfPf0pjeeyD7MhmvsXX3wRvL3w/urYsWOw5aPpH3TQQWHWLILw4bHD8Q7KWbJBiYhYEDFPO2hZorkPHTo02Es7deoUNHvmIu3Xr1/QvppWKLad2EOFbszH0+YGCsaok0tL1P36G9RmhRW1RcdN1evRx1U67jcjZ6NVhH4FJGukAFEXauyeauxclkbqDZWWBrGb1BuxBykzVp5iYl8IGVvWlphabukpNHwj/AK/P2V5EPPHSD8wuj2PIHZjthmWbrxvTAsNwELMQ/6uIXjKiLtOhrJh6ezLGhlnLS1nzwzC95LBu8w1NgYcTx64aRI3n4iaeOxA+EsttVRw1SSsMjb+gQMHBqXEy5iXuYiIBRXzjOy9sjCEHdc4Brwst9xywVOC4e3JAVRJcA4VlUqKJPNiOTcQRtBOnqju3a/Sisssqc7rrqfn7rpbk4d/q8KEySr8NkmFMb+p8MuvKoxDflH+15+U/2208uN/bJQf7LjvTUaq8GtSvisux/6ghl9+UsOYX9SAS2e5kX9dhRqM9AuB8BvJPvhf2k1Fsg/StLHPhzQrI/bc8hPHKvvdKKW/+1657+1d/DzJ2uGsafzFcx3kgT/9Tz/9FPqJMCGieGDWoUzio4+bJqNz/Wtz/oR9bVRNUWG0/dYfrPz9QSz9e1uOsfKamjt1JWLBwSyTPZXNxSsi4p/UoSLaMml6QfCOYF5ZbKZoUpdeemnwtWdfc5haqS0vJHldZM6DfOtVVTpRt3W/Um2XWlRbrrCCehxxtN685nr1veUu9b/xTg3qcYeGXnOrhlx1k4Zdc5OGdr9eQ3uYXHe9hthXy+Dretj6tSbXaFiPogwxGdzjWg249loNueYG/Xzzvfrmmls06t5HVfHZF6o30m9IVauQN+IKrpr2e8Nzo8H8Xdz10rex9mDDX1j5fnrvmrRiv4mtf/OG0hd3UcUOB6tilwNVufORqjzyLqWHTAxavuXwh3woTx5cjcly0OqZFYuwC3iHMWkO3mJvvfVW+BpInkuZbJof8DT2U/bd5DS98j17qFL+7YdVt/8Bqtz1UFXudpgJS5eDVbntoao64ValR9gXZ+NZEa0Ts0z2FN6kOBlTwF2SBR3BFQ4/emKRU5kOPvjgENLYXS3/DM1VrLkDu0Yhp+qS33T71Rer/eL/q22WXVqX7LKbnj3hVL136jn69MSz1e/4s9T/qDM18PBTNfjI0zT46FM16NjTNPCEMzSgy2kacKJtdzlZg47vosHHIidooC37H3uSvjzqRA044lT9dML5+mTnw/WJ5THusV7KfP+jafdVaqivMZ3NNFL7syf3B4Ue2kBIdykSWmtFleofvUTV7VZWyX+votK/r2yytkrbdlPq07HTfS6UScon5bSkpCR45GC3J6ImpI95hwisbDMC98svvwxhlBnw52XRyz5LL6MI267oIM0pKoinzxrKVP/YZapavo1K/7mqSv+xqkr+73Iq+dsyjbKkptiydK3jVNunPJJ9K8csk70TO4U6WeBdkmQPWKcy0SlLhxjTzfkMVF7wOW/WC/6cgl2/kFX5lHG68aoL1XbJ/9Uua6+ue045Wf1uv0s/PdRTv97XU5PuekSlt/1bZbc+pPI7HlXlv59UxYP/Vumtt6vk2htNblLJzXep9KFHVPHwQ6q45x6V33mPyu66TyW33avyG+9T7bX366t9uqj3fsfpp3seUWrEd5Jp9g35ukD2ePZA9072TvhJkncJZN9aa3Ppp0qdfpDKF19XZattqfL2HVTWpqPKNrlIqb6/TpfkKKN0xFJ2ASTOCNw33ngjxMjH1IjzwNprrx3KK5OhM0MW/UsoLpRprwdNy7+XY9aTxyDJ8k76rJf5ctU/3V3Vdn+ly62vstW3V8VB3VTd9XLVnHWxarr+S9Un2/Lqp5QZXRfJvpVjjpK9F9ymBZztCRMm6LbbbtOWW24ZTDgnn3xy8MhBq+ccP3bWC/6cAhWxXqXl2Owv1WorLKE9ttpUz91xi379sq8yI0ep/ttRyg/9Vg2DTYygG4YNUOElq1Ddr1Fd13NVe8KZqjXNv/aMS1R37T3K/ucjFYYMkUaaDBushkGDpX4mb/XV4FMvV+9DTtaoex9R7bcjpUydwkjbRrIvRss00kDs7gKxN24HW70Ljw1pdciq8OZ1qtl2I5Ust5cqtjlaVTsZ8a24ico2njHZ4zDA0sE6HbM4ETz11FMhEusOO+wQHAkQ3DQxPTICNzlDFuUWSdYLT2OdNIT9XidcZr3MO9m3VemS1sCte6Rqeg1VbmKFClMmqzDJZOJk5UsqTX9plYUjIoE5QvZNCznrVABfZ0h67969g9mG+DcMpGIGKg+L4BVh9gr+nINVQU2pmKIrelyh5VZYSjtst5Wef+IxTR73i5FxqjhAqqbWtPCMrVcY2b+k1En7q3zVda3StVPZkmvZ0rStpU3TXHkbVRx5izJf2BdMvsaOL5Gqp5g2WqKGb8dqwMU36b0jT9e39z+mGmtIxAArI7A0bpzuggnLIzwaEx5RkEaiT+5rXbAfnB6lzIVHqGKFlVS69fmqPvNm1e4N2W+sso3+nOy9fLL0dS+HaO3Ez+Fr9L777tMJJ5wwdVIdgqsdeOCBYfLz9957b+oMWV4PKPv+VZvM24V0rjP7Zd3JnvJmZN/hONW+P7n1FYOIFmG2bPZeOVhScF1IS37iMpiFz2KmkSMoFfHHv/7661BBOMYHUs0vKLpeGtlffZWWXGpJddq8kx5nWsJxY1UIkS3t91K57diGitHKXn+UKtqvo9LF1zaS2VxlG+6qis22NfI30lnOCL/NNqq64hVlJ3BOuQrpyUb4pWr4aby+uPxmvX7UaRr+wGOq/v4HI3v89HMhdk596IW1izTaaVyDZ9PNOq7pk976KnnaGtpHVbPrtir777VVcfqDqnv8JdXtvp498w1nSPaOJElj1qE8OiGzzWhvSB+z4wEHHBDMOsRyIowyjQCumoT5wLTDeeTH0r8akvXE6wb7KfMcO+tIkr2VtQ7HqvaN0cpXV6uhzMpZqSkitQzWazw8olVjlskeUHh9tCKg4FKAvaKwn/jguFoygTgjZfFrZlIJKgbHe8Wa/YI/B2GkWlVapZuvvUkrL72Stuq4lXo+3FPjcbfMm6Zmt5nLM/xJyv7WVzVHbKfyNmuqdDHT6ve6WtUfjFW236tKHba9yldqr9IlLH3/O1TXt8TOqVC2bkJRu//FNEcj+9eOPVPfPPyUan4YrYYsYROMEExwKwxs3kj24bq2ymhZurQR1nn6EH+rq9P2HHO3n6CKdddRyeL7qub+3vbcX1PtztbALjdjsk+WV8ow6wjr2O8herYB5ZmwC2jyuGpiw2eGLJ8shb4oXIjpg6JMA/KnDrBNftSVZFlnyf5ZL/cJsl9mI5Wtc4iqr7lFNeedrapd9lfFjker6ryHle432a7VeEpEq8Vskz0VwrUVKgMuah5Yin24WuKzvOSSSwZbPYOpRowYMbWB8EbBl/MFjMirJlXotqtv1urLrKqtO26tpx55WhPGTQwjV6k3BCFDB6+b0E/VF5ymir0OVfkux6nitveVIlJC+mflehymijXXM7JfW6XbXqXat8YYKadUnys1pbRcDb9OVp+rbtebx5+t7x97TrU//GznESyNoGhGBJBAM2TP2E7CJCAQfusk+6waxr6n2n23U9nSq6u08zVK9Rmv/NAXVLtdguy/+HPN3suwD9TyNEgZYd0F4J9P+X3mmWdCucY/HyUG0se2TzC/V199NUyWQp7egFC+PT+HX8cblJkHZH+tqu1ruWz5DVS2cieVd9jCvi7bqfSfq5ny0ValK+2kyuPvV+YnRnVHtGbMFtm7ZgIIYMbkES+88ELo3EKb4fP33nvvDQGnFllkkTADFZpRMtiZaziQf7Ii/JVoMO29dMIU3XBlD9PsV9CWm2yhpx5/ShPHTyyaUuwYyNWqqRFFqTIjhin91QClv/xGmcmETLBnk5+g7G1HqaKtkf0iVvG2uES1b46xM+ys+gpj6jI1/DxJn158i9446iyN+reR/Xc/K1+bUiaXUQatkAvBAzyWRrInb8g9aPS2nbN0wia4KafVID1J9S9fosr1NjJi21SVl70fnkPDiOdVu806KlvWyH7jy5UeUtZ4wh9B2YNsKXte/rxMI65xQ9T+Bct+zsFVE1Mk5ZsQ3XTeLrPMMqFPik5c7PmM0sWe3xR+DVdwZl2zLwsup1XLLKvS/1renoP97p0vVu1t96m2y8GqWMU0/n+uqbJ1D1PNc1b2fo8AEdEKMVtkTyH1gkpnK77Ihx9+uC6++GI9++yzoRMW9zXs9KS/9tprQft3Lcc1Hba94HsD8FeCCUUmT5yka6+6SsuZ1tZxk42Lk5dMnGD3BqOYppbHzGKkwPEm3HGDalQ/uLfS9z2multvVvV+26tsVfu87nCQKq9+Vekfq+z4tArExKkyzf6Hiepz/o16+7AzNfrBXkpB9nVpZeuz0yF7S7OrhGCYJsGkb+xPPy7HcGutA1ZGfumj9Ik7q3xla0xX2k1V5zyo9DvvKn3TRaraYD3TdI3s2x+r6hteVu77yfbeGk9NgHLWXPlDfDu538urn4dphjg6uGJS3hmAdfTRR4fBWEycTyNwzjnnhLhPb7/9doifj/kyOWlKsryzbFr2p3dMcbtOhYEfKH3DDaq93OS6B5X6eDxPR4WP7lbNDhurdPE1VLrmzqq4qLfqp1BQIuY38C79HSfX5zTmGNmPGjUqTBSBtwKTRPB5izAwhYL/zjvvTDXvUGnQlPh8dtInH9/Hj/0rAaHTKF177dX2eb6UNum4kXo+wRy048O+MGlIvd2nEX4gf0ehn9IXHKCyvy2mkv+3ikqXXFdlq++giuMeUWpkVTDBEMu+noBodTVqGD1JX154oz48/Az98tAzSn//kxrsmeTzOSN7IxqeLdkHtd0qvTG6UZCl2zrPHoInU8RbnVYBe/aDnlHNZh1UtoRpr6tsqfJ1tlH5uluqrO1mKlt5A5WtZIJHzsr7q/rePmEu+OnBCb0pqXo6S0/z/c2B8oz5hoGC2PXxOiPQH7Z9nwQd8w8um4zc9bz9uixdAEvqQ9OvDq8zjYcFRYM7RKbe3fAXVXfcjkb2a9rz2U7lXZ5X/W8zHrwYMffg5Yf3mCxHvNNkZz7rLOc0ZpnsuRm/OW6c0YW4VvI5S+EmxghLiB8Nh84rZqVCC6JCUNiThZg8fi/Efy1rcS9oYN27X6s2bZbTZpttpicaNXsHx7hMRcMIZW8/T5VtN1d5244qW2F9la21syoPvU61H/ygbIZJRlLKFWqklMmPv6nfv67XB0ecpp8e7Kn0dz8YY6SsEckqRwcteQfh+fAVYY1h+LMKb8weJh5PBklrTWQ//GXV7bGdKtba1J61kf3aW9jSiH71TYzoTauH7Fewr6qV9jWy//RPyX5OA0UG75zHHnssTIJOrB3i51M3PAQDMXmIzUMD4XAy93qFONl73WDf7/UkG8pR/eQSZSZOUWYKs25ZmbS8GgY9q7qjti2S/ao7qPzUl1U/Idpx/krAFbzjJG8Ctvnacz6c78iewsZNseRzlkEmeNxA7mjz2C7btGkT1tHwCZGAb/IVV1wRtHwGWfkPZvlXE3wS3FOR7LuH31Ak+ydCiFwHx7j8jgoVRvRT1j7pU90vUdXWWxjZGOGvYAR01H2q62/aHGSdrw2avX74Vf0uus7I/tRpyL4hX5zIBBdQu4CJPR8jf861ao8HvklRww8k70SfvJWFGlZuxg9R9r47VHvVjSY3q/bqW00uVfUh+6h8RUbQGuGvtZ8qT7xN6b4/WflqPHUegQrsdn1G3dJfhesxjgrUEVw4sffTKDDpPsdTB5wMqPgsvXyx7tofScWfM1H1vZ9T3flXqOa8Hqrp0UvZn+pCcajv82/V7LtZkewx4/zrw2jGmQ8A13mjzbvm/TrB+/uellPmHGaZ7L1gcuNjx47VXXfdFQabrLrqqsGUA8lDlGg0LBdbbLGg4UD2xAynkxbww/xHzy/gXlpO9o0JjoIRUcYIe8JwZW87SRVrb6DSRa3CdThTtc8Nt4po2luhrmjG+cE0+4vQ7P9I9sU5bP9I9ta8TiX7+lZL9ob6jBqqKlUotwa2zKTc1ksHKHNXV1W0aV90RdzoPNW9O1KFzF9DcpQPSBuTIIMKmawHkyZkz1cvoRiw8WPvd3s+FR5AAK4MAZZeT0jidRf0i9L/vlgVq3dQ+UodVb7hEap+ZJCyU35T+qGLVNmhnUoXo4N2P1Xd/53y1a2pgMx/KL67ac11vs17h0uT73xOY7Zs9oAb9EFTzORPxEDslHTKMgsQccIhzG222SYcQ6FHq+c84A/AZX4A9zFjsjex6taQN1ImDn8tkk10kpYp//bVqtqwo8pwvVz5aNU91KdYSYl/X1erhh/H68uLbtD7R5ym0U72KaYpJJ59o1aHqcYakOmSfbHWF2X+eHx/IX5W9rHzVbG8Pe+lTLPf5BKl+s/7EaVUWEge8XKN9k7cHez5ODDgpokihMsmShD2fCJvYs9nbIoDIqCuIE4OxbIH6pR79VZVbbSGShdZS6XLbqzyzQ9V5UHHqmKrbe3rxtIW30jl29tzGGQNIkpBxF8O3iHkjgnPTTekJUmf9TmNWSZ7bg5ws/jSE0MEmyRk76acFVdcMSwZSMWQcz5ZCZ3AD+IH+g8iL34g6Z7vXwnuYYZkH/6vVeGXD5W+/CrVnHqByW1Kvf1N4F01lCj/bndVbbxp0c9+5SON7D8LZ4VpCGsh+4nqe/GNeveI0/Xjg08o9R1RL9OmtVpDGHpf7Sp/QvZ8JUSiT6DwrTJ3n6zy/15WU/62qkpX76q6T6Yf9XJugXJNveDTnGWSqCF9Jkb597//HQZioQSh5UP82PMvv/zy4LVGw4BPP0jWD+oNy3pbMtVBYdJQZe/upsqNNlTpP1dW6f9ZWiV/W8qkjWn1G6hsu3NV+9gg5dOhVEb8ReAdehlAeI+QvTup8E7ZT/p8SfYIHQvY4A855JBgwqHQIhA98eoJD/v4448Hbx0KrxdWKoGTO2lu/2f7rwb30DKyr1JhyAOqJlTC35a1CraJKs77T5i5ULmfVX/3Kapov4FKl2yr0vanqO7JweGsJNl/fvHNeuvI0zXqT8nePvmas9lHsp8WDZOV7/uyUpd1V+0lN6nu5teU+6linj8aL9NezpFkuaaPi85ZxqVgzz/yyCODCZT6QvwdHB0IzUCgQOLzQAjkBwF4nqEhsYJmVzHC/1bZpx9Q7UWXqvrkc1Td5RzVnH6paq98SKk3h4mQTBF/LfzdufA+vZzAe86HHIfMDR6cLbLnprC98/npGopr9hRaCvHTTz8dfJH9x/DD/MchrHvFYDk/gN/WMrK3FnjMe6rbp7PKl17TNPgNVL77haZJfaBMz7tUu/c2Kl/BtPpF1lbZXjcq3WeynWPMnIPs64Lr5WeX3KzXjz5dIx96QnUjRxvZZ4pkb8+2SPScQsNqz8euV/yD9iPZz6/wSpyUppWYco9HGuEVUJYgd+bBxRRKnxfRYU866aQwVoVOXgYoQvpeT36vSygBxdffUKhT/aSJqmekd5U1MOFKEfMDeO+8M5Rj+nBoxFF+k/w3tzlwtmz23Bz2dwZTERQKTwPs9HjlMJT8+eefD0Tv8ALqPwztxLUWbzyQvxotInurSaGCVY1R7o7TVNlp06KrZRDc/my54oYqW3VzlW9wmGru+0z1lZxgRJ6F7NNq+HmyPr78Zr3cGBun9vufFGIt2LMJRM97R2wdzR6yLwrrRiDRZj9fwiu2l2sXL/esA/ZT/rHRjxw5MvjgYw7Fcw0tn4Br22+/vS688MLg7TZs2LBQLlGSqCdOEsyx60UAd91YFOY/8M7hOxrtzz//PMQH++CDD0J/J15bPkI7WT7mNGZLs+fm+Ry9+uqrgwmHGCEMHmHaQYaKExec4xAn8iSxU9CR5D7f/1eC68+Y7O13sTTibRjXR+mLj1Pl2h1UtmRblS1l2vwStlxmI5VvfoJqbu+t+gkEOTDkbZk17Z3O3DFT9OFVt+r547tq6KNPq+YHI/u07TdtzWptkeiD2LqRPaHXwkTkrGPmsWc29ZhYw+cbUDaSZdnLdlOyJ923UYIgAsahoM136dIlfB0TggGXTUagMx/Ehx9+GObFRSvkfM+H/MMIa65nabEozF/gHaHVo/zSqPN+GYNx5513hvFHdMyzz8cfzQ3MMtn7zRMUqmvXrkGrp4P2uOOOC65kv/zySzgGcXONF3avCMXP0GJnhKez7pXhrwLXb0r2Tz75ZKiMzaJimLI9TlPVehuqfJl1VW5affly66m8zaaq2PYM1fYcorw7WOSNyO03K2XLcaV6/5rb9EyXrhr8+DOqHv2LNQS2jxFA1NikBEbng90k2PMtMan9x9o9X8HLfnK9adlm3bdZojwxypw6hebH1zFljz4wzDuEHmFAFh249IGhDfq5TfOOmP8A18GZDKhjzFHnzp3DO+Vr7vbbb9dLL72kQYMGBe6BD+c0Zkuzp2AS84MRsnxyHnPMMWF2n++//z4URAogN+2fJ07yLskKwH5f/6sLrf82yJ4+COyndDLT8nKP4PffYb+rrlS5bwcp9dbrSj3WU6m7/q26+55S6tm3lfp4kDI/lajeyJ3fWG8VuiFtmn3KSH3MZH1w3R3qeUo3ffnok6r4frRp9rYvY9p7zrTCrD0Pk0LWnlU9LlppayuIrWN5IBnTCjN2jEkhZ9pd/e9fR1H+WnFFJrke3n+iHvg2Qh2B7DmOukMANbR4t+Wj5WPawazD9Ih333136OB1N+ZkXuRNOfVrUJ7ZZj1Zx9ieXt2MMueF9wQwx9GQEyASb0WWBM+DPy+77LIwPwImHgJKUg4w8znvzA5my2ZP8DNIkI5YPktefPHFoNFTaIEXsmQBS0oSzaX9lcBF9Prrrw+aPZ4SED+Vj8+tb775JryIIUOG2HKYhg7/VkN//EnDfh6lYSMGa9jXX2vowKEaNvJHDftltIaNsv3DiscPHjhQ3wwarLFDhmvsB5/pqXMv1fWHHa1nr71OA95+Vz8OHqLvBg3VN4OH69tBI/TtwBEaYdvDhgzSsKEDNHzIAEsfoO8sn5EDhprYMSYjBtl9DDGx+4qy4AgVH8EtmW0GV2G/R7vHpINfPoOxcMtk7ArmUkKFE3eHL2rCkFCuyKNYHot5Uk5DebN8WUeS+1hnH26gns4yytwV3u9nn30WvtD4aiOsDBzD2CSEBn277babGlASkx6RgjkX8x3WBe/YnVm+nC0zDloFhZEOWiYooYcZLcH3O8kviMAf+uabb57qYbTnnnsGGxv9Ecy01a1bt/D5dd5554Xtotj6+Rfo3AtNLrDjzk/uOzdEQDzbzrug29m69pzzddPJZ+jELbfTAR020sl77KVLTz1NV1oeF3Y9Rxeefb4u6nahLjrrAls/V+ed082kq6131SVnddWlVtEvO/McXXrmBbqo64W6sNv5Ou/saa8XZf4Xyo+XKeSCCy6YWqZYv+iii8J8zXTatm/fPph0KI+EI2EELm6aHEvZ8nPIj23KKA0CWiR50tHLkm0GcXk6x7P0PKLMHfF3y3Nm5LRHHOBdIgywo9/T3y9OLwy+g/g5/9Zbbw08S8NMp+7M2vZnmewhdXcdQ9Ol8xJyByz5bHGyn9+09hmBe8c96pZbbgmt7RJLLBE+t6hs9EvgWuphIeg8I62lElrwVUw7W2lVbbGSfcItsqTWX3wpbWr5d7S81l19Da2+wipqu9paar96O7VfrZ3ard5WbddY3WRVrbPaqlp/5VW1wcpW2Vde3dbbat1VOG5ttbXjmrtmlPlXKEMsKRe+TlmjsrNE00PQ6tlP2XNBI+Q4zqE8cjzHUSYxqyLkSwPBMe7hw7EI66RxDOey5Lgoc0d43rxDlhA5S3/XeDEi/i7oA1100UW1+OKLB4WzQ4cOwb5PFAJcdbGgYP+fGV6dLc2elgVvGv+kIC1J9L6OLEhkz+9xExWDwviEZhQw2v0uu+wStKydd945xDnZa6+9tNtuu4X0GcuuQXbaYUftuvV2OnCbHXTYtjvqSDv/iH321n6776qdt9te22+9vXbdYTftsdOe2mPH3bX7Trtqt513NNlee+24vfa3Yw402X+7nbTvdrtprx12t+N20652XPPXjTK/CuUIkwwaHOueThlD/BjKGGWQ8kZ5ZFwLxIG3DqSPOYD4UygmDGiEHDAHUGYppyw5D9swwjbkQX4cR19A8vpR5rzw3HmPLOmchfAhdzR53iPv0DV93ikNOl9vrt1j1oGTiDCMFcX7RVuK2eqgTQqETkuDvR6tnzRuhG0aBLYXFHCv3DceD3SUYKunMwz5+OOPp64jBHXz5Qzlsz76rM8X6tvnS335SR/1/+gTDfyotwZ80lv9+vTWZ599pE8/+Vh9PvlcfT/5Qp9/3Fd9en9uaZxv+z/9UF98/KH62/0M/MCWH3ysfh/20Re9+9ixfey4z/54zSjzvTCZOXbcZJnq27evvvjCysDnn09Np5KTxmxwfNZvvPHGgdjp4MPlGQ0esoc8IBNi6uOfTx79+/cPS8oyI3P9ugjrlGu/n/lG7Jl8yv31sSXrzR2zAAnPmj6St956K7w/HD8gdzR3TDgseZ9o/DQOp556arAuMM0lXjoEnMSdnRHYKKSuVLeUW2eZ7JMaO8I6NwDRJ1sbtmelM2F+AA8Vrxzs96zTMYKwTsM2s1Jbl7Jz00rVZZQ1ydXYS6usVF15iSorpqiiulw1tTVK1aRVU5lSXXWdUrWcU2vnVlkelUrXVipbVRnOy1VWK1OVUrrapMaOt2Obu26U+VvQ0FjidUFZY0kaShJLL2/UJdYhbOz4mBUhDOa9pd+MPiU0dDR+NEY0SMbA+PSIXo7Ji3KMEwKm2Fktz3NH7FnwPPjtpnClsiYsTUgL+5o9b/4WnrFr4nSQY7fHnRYbPeYbGu599tkn9KPghgnB07gTIwkOas4+79zbUm6dLbJvSuwOLj4zLc78Bu47+fv899Bo8dC9kXOwb8ZCnrast5fDIws+8gjucmml61PKFLLK2bG44tdn7Pgs5yikZRvs2g0Z5QsZNeRwz0TswJzdm+VZIO9prhdlQRAvZyybS0/WMcoemiGdtpgA8MrBq4NRmPhmQwxojXiOYaKB9NEWN99889AQENYEDxxCnHj5nd71/zKx2wrVg+hPv/2o3NARyn37s+on1oZ07pqR482eO58LzxmnFtzT6aDF1x4nDzxuaJB5N9ji0d7dPM57afqO/N05LyW56M8wWzZ7xG8meSPJ7QUR/IZkJQOsk5Y0UzlYb7EUS3KQhpw9r4K9SOWUVlbphrwyRtrZQOC2H9K347J2XjHapV0bsq83og9iB1hjQPTDMHIyeZ0oC4TQSOeyVqmbTKWFYgC5U9Yc2GnR+giJzOf+gQcdpA8//jgUJweKwU9jxui1N9/U+f/6lzbdvJMWXazY0cd5kAvumjhVoN07wv0Y0wbxe0tIc/vnnBR5gxrVoFrVD/lIqdt7qPqUM1V92MmqOrqbqs+8RjW3/UeZ4VOKpM/xjXyzoAicCJkzeIoowGjvNNRo/n+GJM86x3p6cntGmC2bvRMgLZCbcPymkj+wKTnO7/D7bvpw/bcgpAP/nS0WKovV6wbTxvNWyQv1aOxZ1SHG8HXZevvco0XneONzk6xVhoxp9hk7pt60/wamowti92EH2dMOEsl+wROvQ8Uy1VjeeJ9W1qhTNAZ2oFJ1qWBrP+rIo7TWWm3Veeutdddddxt5jLHGIqtM2hQBK085U0bSRh7lph3ir//C88/rzDNO12adNmv07mkfOmzp7HvFyIZwJ5gXkvB747ouIc3/fHuOiV2C65raUxj+qupO3Vfly6yikv9dXSWEB//nKiarqWT5bVVxWk9lRhQjmQb5Q17zr/BOMdExOBPBrOYNOu+6OWeXUB4azwfJ7eT+lmC2yb4pKfq6H8OPQRtu6Q3ND2j62/ze/Tf6fl8m02csZGTXMDIv8KxMmG82bWSetsqeMrJPpxvJ3g4tkj1z19aH8Mb1xMYp5CwPlta42j5rSiPZzyuxd/JHaXJMCwVzRN7efc7eZTZv32721Za3RpxZygr2bhuMBCgn2VRaI4YMV/eru2vTTTfTeh020BnduumLXo+o7uXnlXrmJdU1Su1TLwSpe+ZFVfV8VuMf+Y++7Pm2br/jTh153NHa1EgfN0D30acD8ONPPtG4Cb+pLpcN5agIK6RWNl2KcyDzFco9s/07GU2vDrS8XjQ+w9RoZS4/RpWrr6HSpbdU+S6nq+q8i1W9704qW34tlf7PCkb++6rqxo9DRJHw7P+Q1/wpPAsndfjQST25P8mjnubCNvB9TaUlmC2yb+5iyW2WrrUkj1kQwP02fdBNQfrMCyeGk4OQZq84xLLMWQXK1VMoeOnFY20RCJ9KZtQeyIFAaMHGY5XONXu7y5BXlLkkja8NhCduSkyDadL2yhLpTc6ZgUD2mPAyDWlr7OtsWWfvN2XpaXvx9uUGyeYKKp0wWS882Uv77r6vEXV77bXfger5/HMaf1c3pTZvq7Kl1zMyZN5dE5YrbqSyVTdReZv2qux4tEpv6advvvleL733hq645irtu99+6rBeB7U10u/ceWuddOqpuv+xR/TF4P4aXzZZmRzXJ0aT3QNB+/jCoEGye0XpqLeyV4D87f68fjclKqS5tGYlPLuMCr+8qNp9dlT5P1ZS6fonqfrf35oyVK78F/eres+9VLFOZ5W3O0hV3d8Qt1g8r0le86nwHPx5JOH7m0Py/OkdMzOYZbKPmHMoFtrfJYlp9/FHYUkKacX9EXMZaLTlvyo/sK+yb7ylzKvvK/P5CNVPqDFibjxmJmCqRJHsVaeUqo1Iqy2l1ip2ynbSEW/7auo0/OtBuvScf2m9tutpo4021SVXXK2B341Q7ZNXqGbzNVW2DESfCK/dxsh/uXVUtugqKlvnYFXeNkg1dTlNSlVqwNAheuLJJ9T1zDO17bbbqu3a7bRWu3baac/d9a+rLtPzr76oYcMHq3zyBCldVyR7k1y2TrU5u0+7L/u+DNp9kuwhMRcntebIbbrIV6nhoxtU3Xlz0+BXVdmOl6r2nYrivgYj/JHfqn7gEOW+Hq76n6eEPq2ImUMk+4iIliA7WfWv3qua445U5dZ7qKLTria7qWKr/VV5wPmqfeAL1ZcWA121FJhC+FKrN3LPFqqVM2kw7V6FomZfb2Q7cdw4PfXoY9pp2+20yoqr6LDDDtcL/3lZk0tLlP9xkNIvP6e6ni8q/aTJ0y8p9fQLqjvvWFVutIFKF1tDZesfpvI7BimVwQxIsFUj/cmT1PeLvrrnnnt03LHHapONN9Yqq66s9dZfVwccsK+uv+oKffLWmyodO0bpykq7HSP5ukpVpipUY4SfDfdcJHKX4u+ZNrga6S3WSjMlKjx1nio32Vilf19dZXt3V92n0/YlRMweItlHRMwIuTIVPntQNXtsp9IlVjcyWlklf19JJf+7ii1XU+mi66qs4/GqeXo4CmrLARFCiBBjOqWGdK1dC/NN0UxXXV2mz/p8rGNOOFqLLrOY2q+/jm697WaNGvmd6jN2XM4IN5VRwbT2Bjr17Usgm/5VdTecqop2a6tsEdP6N++iimd/CZp9NnxLWNYm6Wxav/72axjEd+sN1+vgPXbXRquvrvbLLq+t115Hpx98qJ686x4N/uILVZZMVs5IPpPHPdg0e8jeVGvszggavJM6682lzxB1k1R/36mq3GB9lf5jDZUfcoNqX/lG9W/0Uuruh5R64HllPv5RzNUfMWuIZB8RMSNMHq7sZfuqfKV2RvZG7KYtV517p+quuUTVnTupbHlLX6qDyo56XNlvjLBbCjiQsRZZo+Ba+yqoMQJn7ESefpusRo/5Qbfcc7NWW2cN/ffi/6OjTzxKH3/6oVI11qKgTeOXi/mokUvpqE+Xf6aqE/ZX2VKm1S+yocr3uVo13xhJ27FZa0RSRsJ1ljd9RJyYMa193OhR+vTVV3XzWedq/w6bqMP/LKZ2f19U26yznk4/7lg91+tpff/jSNWkaMmKWjyeQ2jwCMSe1O5ZR7Nvzk15uqgZr9wtx6tyvfVUuvg6Kt/6cFUecpqqtthKZat1VHm7HVWxW1fVPPql6ie3IL+IPyCSfUTEDFAY9bFSh2yu8hXXVunS66n8sIeU+dF21A1T9tIDVL7yuipdpoNKt7rStM/fp+GcIZJknzKpMwKGwAsNmmLa9Otvv6YDDt9Pf1/sf9Rpy030TK/HNf63n03pT6shb3p61rT6nH0VMKjOssnlUkr3uU2VOxpBLrKGSpfbTZVnPRemPA6Xqs+r1gi4ygi+zvKob8hYYtrUfGugppRr+HOv6ZZDjtfR626mnVdZWx2WXUErLr2Mtt9pe11y5SV6+fWX9MPo75Xi+Ea4GQctHmJHWEeSXiczRPVvyl1/lCrXNbJfZv1iR/Pa26i8816qWH9T226vUvtSKd38X6p9day3bxEzgUj2EREzQOG7d1W3z6Yqb2Nkbxp8xfmvYcI3ovxR+YdPU8VqRvTWCJRucqEy7/9UPKklCAxskmtQQ9oEo7ohbST59YCvdenlF2tt0+pXWWU5Xfqvc/Tjd0OVraswoq8zMkVbN3LP55Q2MjXaNnKdpMztJ6mygzU+ixnZb9BF1fcONTK2nXh3WaOSM8LP4FlTSNsHBB2w1VJlueq/+1FD7n5cTx3bVY+dcI6euPBaXXbSWeq0yWZacdWVtVb7tbTHXrupR/er1Puj963R+S345zuRQ/j4iTNACG2fbfa1iOgBZN/DtPl17N6XWkelK++qylPvV/qd9+w3na3KDTqqbGl7/kvurqqr3rRGpfG8iBYjkn1ExAzQMPpTpY4wzb5NWyObdVVxytPK/GwMWjNC9Tcfo/JVjKCWNILa+hplPvmt8awWAB6EiE27zxsRmzIcRsD+8ts4PfzkY9p1z121/IrLat+9d9Obr76oqjJrYdDqjajrTdKFjOoa6sU42FrVK136heqO3VMVK9h9LtpW5XtepbretSpYvoWcadsZtO+CnWvrwdvHzsxUq2HyRI37zxv6sOtlevOkCzXk3qc17pPB+vKdz9T9muu178EHa72NNtQaa66mLTt11MldTtD9990XgqcRHdbJHa3eTTtszxSqLJ/uh6uivT3HxdZSaaduqnn6F3tG9WoY/7bq9t5B5ctY+qKbqvL0x5T9fTroiBYikn1ExIww5TvlrjtCFW3XL2qdW56rmqe+UO69p1S3/9Yqa2NpzDd8Ui9lv0PHbimM7dF8TetmcF29SYlp2e9++qFOP/8stdtwXXXYZH3deNN1+nn0D6Y51xUH0png656xz4KUCUaVWpUrPeABVW3bWWWMOl18C1WeZqQ43nZiGWLshhF9HjML5p+MnZWqNJItU27ECPXvfoveOup09b/8VpV/NNAagIyqJ9do8KBhevall3XhpZdp1112Vod2bbVeu7W18447hWBezJXLLErMoISm72YcN+0gLQKa/Y1Hq3JdazjpWN7pMtW+3eh6WfW1Ukfvbo2tkf0i9mV13H1KY0aLmClEso+ImBHqjWS/eVPpM48yzXNjla20hco77afKrXdV+WobqGyN7VVx0LVKfTgmeE22HA32h8eKEaKRd7Y+pRGjRujGu27WtrvvoDXXb6cjuxyjD/t8orpMRpl8fRh4V2+SMwbH6mP6edGEUzNWmQdPU8V6G6l0iXYqXfVwVd1cHGlKgxKC8OHqWZ9TPm3afo0RfXWFCmPHaMoLL+mjU87SJ6dfoAlPva7CqEn21WLn2W/JZepVVl2rgUOG6eEHHtApxx+rLTfrqLXWWDNEajzkkEPCtIlMgk54BqJoeqese+W0yJRTM1H1d3RRZYcOKv3nGirb9UrVvmv3CCr6K3X8HipfEbJfRxVH3630yOKuiJYjkn1EREuQ/031D16sqs07qWzpNYpD9/97ZZUu2UFl7fdT1cVvKDdlWkNykuTcfu1pYd0Iu2AkXwjG+pxqakv01jsv6+hjDtPa7dfQVltvofsevE/jJ08Kpv2MnYOk7cxUWLd2iA8D25f/9Wulu+ys8lXa29eHafbbmGb8yriwDzdJ/OuzfBXUZ9VQZ41XtRFpaZmq+/VX3wsu0WuHHK1B192h2q+/tXRrPqrtzNTv95/J2FfH+Aka0Lev7r/rLh1x+OHaaKMNQ+x84q8TeuHOO+8MMfOZtQ5Tjmv4TX97s0hNUf7hM1VpeZb+c3WVMqjqzbLivsovlDrMGlZCJiyygSq6PKjML8VdES1HJPuIiBkhjZ/946o99kBVrLWhytruqsoDu6r66GNUuWFHla3WWRW7nafaXkOVL/vdVp00ZTjpsXQpkr1pv3SUmn7+84/D1OPS87X9hh20vWm413Y7W9/0+1r1ECdxk4yw6+y8WjuzDrIvmMYOfzbUKP/Fo6reYlOVLYvH0MYqP/UJpb4z/d++Goi9U5vPKZXPWl52rdpaqbxC+W9Hadx9j+rFfQ7RJ90u0KQ33lX92IlFF9CUNS8Z+y05uwZjxdwaY18IUyZM1CcffxLmaGb2LJ8ikQlUjjvuON19992B9NHygf/26ZE9qflsuXLv3aDKbbY0QjeyX/dYVd35tQpV5cr3f1Q123dW2VJtrSHbWVWXvqL63x2CIlqISPYRETNC+SjlbjlS5autq9LF26ts4xNVc8fryjxzt2p2MU1/uXZGsKZxnvKCsj9MS/bujuiEx3Iq+TeSPaNnTf/WN4M/16kH768tVlxRx22znd69/99KjxlPRpZHRtVG1NX5YofsVLLnQg3jlX/zWlW220RlS5pmv/SWqrz8DaWnGInalwM+9XV2rRDqIF1jbYNdr8TItW9//Xj+Feq1/R4acfOdKgwZJk3EhJPic4CTA9lbBtyeiNQamNmQTmWCrR7CJ+zC//7v/+pvf/tbmFpv33331cMPPxwmxU7iz8g+k6tQeuADqtxxG5X9s9Ft9KLXVF82QflXrlDVxtaoLmkN2TL7q/rGD6e2PREtRyT7iIgZYco3yl5zmCrW7BC8ccq2O1+1j/VW9vXHVHfYDipbYR0jp01UftyTyn7zu9EeUsdmnST7aTV9I37Tuusb6pSrr9Hnvd/UcXvtpi1WaKMTtjayv/chpX76NZBu3rTyumxatWj3lk/Kzs3SsWvXaUiPVf3zlxjZb2zar5H9stursvs7ypRj5iFMQn3oyE0V0r+T/aQSpT76XN92u0Sv7H6ARt5xn/LDRkiTjaDrUiHaJl0JgeiLViYys4YHsa+Lmlp9++23euSRR3TUUUeFicuXWmqpEGefuXOZQOWrr74K2j3PIAl+uz8PwP/8/uy3vVS99/YqW2RVe547qqLLPUp/8IEyt3VV5Xr22xY1jX/Vo1R975e0PREziUj2ERF/CiO9ke8rdeAWKl/BNMulNlHF+a8oO97opm6k6h86UxVr4GdvstnFynzwc/EsIzLs1gwsgtgAJD8t8dMpmzEOzejbkYN09cXnqPMaq2rLxZfWOVvvrN433q3qfsOtsakMBFzIGFlnUkaMuF6avm5sDOnlfvpS6Qv3VfmqDEgyWfsU1fQaHriZGc7qjOTr7BqZfK3yGSP68nLlR4zSuHsf12cHn6D+J5+jKS+/ocLYcTIWV6Hemge7v5yRvX0MhI7a0EFAgt1/CMtgv4up9n4bPz7Mn4u9/sgjj9RGG20U5lVlXlxmYmKyFUh/8uTJU0fU+nNh3WFPWYXUGGVvPkNV69tvWNoa1RU2Utlq9rWy0voqW3Y92+6kiuMeVO3X1oBYM1dsKiJaikj2ERF/iqwKg3qpZhsjnWXbmda8japu+DiMSpXGq/7VK1W59oamUa+r0tVPUuYVI2cDZI5G6z7nyO8afVHDh+zSuYwmV5So51OPaM/tt9Zmy7fRAau31zU77q1XTjlfw256QOWvfiANHxW08YbqKtPkTTvPM6AJA42ReL9nVb2zab5t2qlsuQ1UttedSn9RFsjQqDlo9NX11UpnK+3cKuV/+03lb7ynAV3/pXf3PkLjbn9I2cHDpIpyI/qMNRC4dDYoPZXsLSfs97j2WAPVwO8w4Xfwe5iQ4/vvv9crr7yiyy+/PNjxO3ToECZAZ0pEJs6+//77w2TpuGj6M0l+9fDBYN88Koz/SpmbzlFlx83seTd2NhPVs90eqjzpPqW//C1EXs43PseIliOSfUTEnyKtwsCnVLOVkf0ykH1nVfXoLcYjSUY8r1yhirYbGikZ2a9yvDIvDQ1nQWAQGeLEjkBQU8nepDZVp68HDdBpp5+idVZdRXuuv7GuP+IEvXb+Ffqo26X6oMvZ+qrrxfrptgdV8ub7yg3/Rpo80W6raOcvNPyoVK/LVb76Oipb2si+jWm/F72r7BhrXIywc0bcBDCrSZUokyqVKqcoM3CgRt16lz465Dh9cdK5qn7nU2u3JqshU2fHZ1VnZ1ZD9piJshC9CUu732DbaSg2Xty//z4IHCL/+uuvw1y33bp103bbbRfmwcVbZ7fddgtz5+KXP2LEiPBVwHOA8APpWx7BQmS/KTfpZ6U/ta+pZ55R6uFnlH72baU/HqzsaPsiYcpOuzd/jhEtRyT7iIg/hZHQsFdVi+a8PFrmRio/7jFlfjLSqxuubI8ji+YTwiW0O1OZN4oO4EFbbRQIETJMkj3ppP3263g9cO+D2rJjJ6278mo6/+jj9dmTvTTpw8/069P/0ZeXXqt3jjpJHxx2gr4++yKNfeBhVX/8iRHfD3Z9I/yfXlPqrJ1V8t8rquT/4Aq6p6qfGGp5G0fnc8pgkmEy+9opqq+ZrPzP32vy88/r89O76cMjT9TYex9X/Xe/SNUpFewrgxnTagLZF2zdfjvafA6t3sTuGaIPfQ1Gzhm7iJtj+D2kES6BKfc+/fTTEEIZe/5mm20WzDpo+Zh2sOd/8sknYU5dvgpc0wfMwkgXAZYjxh0UMrnwhcJexO4oHBvJfuYRyT4iYkYY31+Zs/HzbqsSvHE2OFzV596p1FUXqXobvHGsESAa5r53m9b8u7uhC2ToGrCTGkRVUVaujz/4SIfucYBWW2x5HbjD7nr+oUc18ftRUlmZ8mPGaErfL/TDQ4+on5Hzuwceod5HnqDBF1+uXx/vqVT/r9Qw6F3let6m1JXXqe6Km1R74wvKjJwYYs7ToZvK2ZdJvUlduVQ6QRV9emvINdforcOP1leXXKXMV0OkKVXWcFijYBp2XQGyrw/hF8iD6REx3VgmRY3ehN/iJhj/Xb7uJMxk5j///LPef//94LFzxBFHaJNNNtEaa6wRBmPRCDDp9oABA+ynloVz/bmQdypl926NgDU1geRJTz5Tv05EyxHJPiJiRsiWqPDRvarZc2eVLbuWSv+xkkr+q41K/u8KxXj2S22o8k7Hqebxwco3jvBPEhNkCDFBaBAZIO3bEd+ox5XXqu3SK2udpVbV9RdeqWFfD1ItA54wlnugsp9HqeytNzT8ttv1yUmn6aNDj1TfE0/RiO49NP5V0+x/Gm3HYVeCGq1ByaeCPz3TC2ZzdZZVbXG07Pff6pfHHtYHJ52oD088UWOeflaaVCpV2XUC2eeVNk0+ZcQeBmCZlk+/ABPcF4IYoRfyyoXf8XtHs/+e5NcLYD8hFJjU/PXXX9cVV1yhPfbYQ23btp3ql4+5B9POsGHDgqsmefiz8vyaNpJJiWg5ItlHRLQE2VLVv/OYak89XpXb7amKzXc32U0VnQ9U5WGXqvbxr5UvT3iXGBE52TucwCAv7NvP9XpOu++0u5b/51I6YMe99FqvlzXht4nK5TOmzRL5psaOrVRD3WQj5EkqjButKW+8qu9uuEF9Tz9Dbx9+pN471jT9Hjdo0ltvKv/Dd8Emr7Rp6rlaNZBPNqWCNR4NEyeq+u23NPSii/TRscdoxA09lB74tYQbJoOsMrkweKo+Z0TLpChsMLLXpIDLZt4EzyHT8p3kkyQM/PfyOz3dSRlzz48//qiXXnpJF1xwgbbeeuvgqrn00kurc+fOOu+88/T8888Hd87y8vKQh5/POo0k14uYdUSyj4hoKfKmddaWq2Cadv1X/ZX7cojqR/6qQkVKDQw+SsDJHoJywnOywsTx6SefqNtZ3bTGamtqnbbr6rqrr9f3I39QXSot05+VNbJPNdQo3YCbYbkxqWng6cliDtz6kcNV/uorGnrpFXppj/305NY76kMj/fH33qvM558oP9Y0/aoSI/w6NeC6Ul2t/Lffa/Ttd6nvccdr0LndVPL6S6bVjzOSN7LHtcgItQFLTdbuNWv3bJo7v1cNmTDCN5OvC26ijORlknv/TU2F3wgxI/x+0hysY9PHc4dBVwcddJDatWsXtHw8d3bffXddd911evPNN4MJyL+CyMfzTOYXMXOIZB8RMZfgBAhZEevdCRCzBv7nW5lGu+JKK+toI+CPP/1M1bV1IsgZvvGEL06pTrWqNqlSWpWqL5QZIRvxV08xLf9nVff7WuOfflFDL7lG7xxytF7a72C9Zxr/tw8+oLqvvjQynyCljMgnl6ru1Tf15cmn6ePDDte4O25Rfmh/FSonWXtQbhp7YwcpyjS9o7hZZm2DhgKyb2De2VTw7SeWD+MDiJ7Jb0Pr5rd5R63/XkifbZZsezrgOUyYMCGEVMA/n7g6mHaIs7P++uuH7dtuu01ffvnlVHs+53tD4vlEzBwi2UdEzGE4CbomzzZkyBLvk1dffVWHHXaYVltjdW2x1VZ64plnVFZZGaITQGNoz7lCvWn0WftLG+mn7P862yY2vWniaON44lRUSb9OUqrvQP3wwBP69JzL9ebxZ+qtk7up76XXasxjzyr/+dcqfPKFRl/RQx8ddLi+PudcVbzzZtDqC3VlymUqjdvtSoFM7V4h/BAiwe4kdMxm7b5MozexXxUE2z2E7wSMaaopCfs+hHXfduIHnDd69OjwPIicud9++wVNn07cLbbYQieddJIeffRR9e/fP9jzeaac7+Lbnh/wazWHpvs8H08nP29YFkZEso+ImMOAQLxz0YnEiQWbNAOPOnbsqPbrrKPTzzxT34xsdNc0McVexVAFRkLBZGKEaQxM2ANrAmxp+WKLz2XVYNdQypalNcqO/FXl7/XT9/c+a6TfXW8f1VVfHHuWxl7UXWON+HsfcIQ+O/oE/fzgQ8p8/42dV2mEXm33WKc6y6/OrhUI33iOeyi6wdiKpTdYY0BHbVH1Lwrul8B/X3MEmdyH+DNAHDwniJzn0qtXL5199tnaddddA+kTYA1f/fPPP18vvvhiOIbwC5xPfjxfb0wc07sO6c01PsltGizuh/WFEZHsIyLmMJJEgjjp0PGI5wka7Lrrrqu99t5bPZ98UuWm1QOOYszS75xqpBOI36QAETeYpt8Q/N8zeMygXeP/jumlyghwbKVSX47SlF4fafSNj2jwSRfoy70PV+/d9tWru+6tIZdeoereH6lhyng1MENVrtYajpQqMzWqYeRs0NvtPuA6biaIbRjho/K7Zt94lMmfw0nUhefQHEGzzSCrcePGhVG22PNPPPHE4JuPPZ9BWTyzHj16BFdOjoOYm8KvgSSfv1/ft9mfPNbh5yXvbWFCJPuIiLkAJxMnF+zaDDQidAAktsMOO+jGG2/Ud999J+aFBfDqtGSfEOMk9sPrKdsgEFrGSJiwAWE/o5CIQT8xJf1Yqnz/USrp9Zq+vfJafXlmV311+WWa8Poryv/yg1RTqvp0hfJZI/tCRtWZWtUx+Ip75lJwXVhxgQD5siiKUbYRPjv+HE6yLjyH5sje0xE6cMeMGaMPP/ww2O0JmUxUTb6E0PLZphMXV85Ro0YFm74TP3mSB9ssk/n6e0CS95QU37+wIpJ9RMRcAOQBwTj5QEyYb4gOud566wXTBAHC8FkvHl+UYD5JkrwLyrXxEMp+mJ3KDs5YAjNXFYydQ/hhQhow4UitHViVkSZPUWbkcFX2+1Q1w75SduLPaqgrM62+Qjkj+5xp9piIsnkjx0DojfcRCD4hjKS1m/A/CL8lZN8UTqhOvE6yjuTzonGEyDHdYMIh1ALeOjw7QjBss802YVrEp556KvjoY97BBIM07SxOEn7yeoD9XM+FYxZWRLKPiJgLgFQgDshnypQpevbZZ7XzzjsHF0NMEtiniQTpgIMCD82A7N2UE5xmIH2THNcywmeO2ULWSBRJZ5WvNe29YrwaKsaZNj9BhfQU5TPlKuSqlK+vC1o9kTPzljFmosDfXB9xojdh2kQIfnbJHjgBO+kjvt0cKUPAjEnAM+fBBx/UKaecEnz0V199da211lrhWaLpv/3226FBraysDM88mUfTa5HuQpoTPddm/8KKSPYREXMYTiQQB943aPCQ1EorrRRCBVx//fX65ptvAtGE45PCf/BNU9JvJOBAikbOED4BKV0g/zA/LaQGYWbTytaWKVc7yc4vt4wrVZ8rV9bIntjx+QYjREbE2vF/IHqXkM5vgeyNDBulpWTvzyApyWfD708SfJKMWXo662jr2Op79+6tO+64I8x9iy0fwsdz5/jjj9e9994bbP64dTKWgfP9eknxayO+7dddmBHJPiJiLgFtkcFBhPfFf5wRo9icP/roo9AIAOf2pMA5wZQyDfEWJZCgCcSO94zPS8s6gpbPvlyDaavEr6+vtHMIa1arXKFGaSP6tGn1uHYWSc9ILnQCN7keYnlxI3TIWo6W5NJyzR5Cdc0Z4ZrASdbJvngvvxNwkpSdhFnSkTt27Fh98MEHwV1zn332Ufv27UMM/S233FJnnHGGnnjiieCuCekTriGZJ8L1aDy4H8+7NSCSfUTEXALaZb9+/YJtedlllw3+43iUjBw5MhAOaMrpCAp14KBGgk9KIEiTXAFXSdN4EdvOInYSXZVGYSaYWzKWV52RXY0tU/ZFkLZjTZj8pN40ZiN5BHv/3CR7t6O7Ld0B0SYJnSX7m5Kz7+NY1lliz0eLp5Ob+Pk8W6ZEpPP72GOPDVo+ph9MaEmzDsI1fJAb2w7yRRZWRLKPiJgLgDTQQJ988slARssvv7z22msvvfDCCyG0r5Oa82rSYuNkbzwbCD4pwQXT8sb8ksubhhrECNXIP2j1dthUssdUk08pl2UwVtruyYgasWsH+35zZJ+8XuNNQPbk+LvMnBmH35okeyfY5BJxskc4z89HIGZI25d47fAc+/TpE6JnnnzyycFbB5fWDTbYIGj8mMvw6mHEMm6vnOfXIx+/jqexzj0srIhkHxExk4AYZgQ0R6br69q1a9A6ISHI54cffpiqVQaNE5Kz45NkP5Vz4dqEGMMGaYAAE8QY7PS4YdpBnF+kZLbR3o3UcgREs2YgzDRlJBrMNkWCD2InBbIPBJ+UcDFbKeb6u7DdMrJ3EuX3OsFO7/n5sUnx3+jneoPgeUD6mMow69xyyy3Blo9Zh9ALxM9nFC5mNEIz/Pbbb6HBaXodkExbWBHJPiJiJtCUbCCHptogafiKo3HiIoh5gflZmbADcuJ4iD6QPefbOdBnUkhz/nUJl2wUNHwmFmGkbWgVTNhvHF5sQNDIIWrIK8wIYrmFSUjsgMRFkmTP4eQRJFyGv6JmPytk73Ai5Xcj/uxmBD/HSZ7zENaTpEwatnwaUqZGxE2TSc8ZhYstHz/9f/3rX2FA29ChQ4OW39x9eP4ujpamze+IZB8R0QJ4xYag0Q6dLFzrTJIP7n9EbjzmmGOCqyV2ZEaF4mrpxOWEhRTzLnJ2IGvLo6mQe6AV/kNImN6Bvs9JfXqSOD60C3+4Nl8ddo92MN8Ks0r2s4vmCNXfR3Ifz5SOb1ww//Of/4TOWiZA9/4SYulfddVVeuedd4JnD523SZDX7++jKGz7+2qa7scuKIhkHxHRAiQrvpsknLCdCBx0wDKACpJnABD25EGDBk1DFL6Ohs6pSXGuTgpp4Qr8hzR3kB/o+5qSe1NJHP/nZM8aJ/w1ZN8c/D0ktX4H62jvdOD++9//1tFHHx3cNImdj6smfSiYfDyqZtNz/0y4lksk+4iIhRBe0angTvCIkwBgG/vxXXfdFQb+YEbA/5t4LpgZOC+YbhrzCefDsE7OjZI0p4Tdjev2L8jUFc6bjoQ8GvP6Q1qjhOs15hWu1Zj0uxTJvii//xXJnxP/OvDMk+/Cv7BYd/CsGVk7ePBgPf744zrrrLO0/fbbhwaYkcx04l522WVh0pQhQ4aELy+36fs79XW/ll/HGxo/bkFAJPuIiBYgWeGdAJJpAPMNdmHMBdiKGd7/zDPPqKqqKux3Oz0kAanQUVvAng4/NdW4EbKFSxoFXgmrvt5EwvGN4ml2t43Z2b2Gc3+/95BZI5qc3nhOkehxvEwKaYlT/3LwW3imPNumhO/gedMQY9PHFZYpERdbbLEgTIhOtE3eHeEZONZBXuTLu2LJtjcukewjIhZiUMGdUBDWvcIT1IyYN5gMmFybOVfpEPQGArLwxgHywGaMC2Rg1haQvTNsWLX/mko4vlFCmq1C8ljcXYraelGgbKS5v+K+4l9Twp8fyJ5nyPP3Z4sk0xy8H3/uHMPYBwidmDr44/OullhiiRBOmXAWaPoMesOmz3mAc1lHeP9su/i7XxAQyT4iYiYAeaD5uTjZo72jxWMmIG7LUUcdFSblIFY7+10bdJJwzXB2yH4aEw+JjUSPhDT7K5I9JP378ndv+SJx8/c79f9R+D/ZSCBc7q+EN7RO7k2FZ45wDA0r7wqyZpvnjlltwIABYcawAw88MJjcsOlj4sF989Zbbw3umgzK4hwH5yavGck+ImIhBRWcCu/EQcXHAwRi6NKly9Rh+8RvoaMWkoEQnBycpJw06nNGv7jgJIja2HT6ZG/CornDpu4wCddM/BWJ3r5K7Ixso9hdTP0rNgOeGxm4QJphUZTGyyB/JfyZsuQ5uuadfLb+rD2dpRM/50L4DLh64403dOWVV2rfffcNUTWJYYSZh5j6BF9jFDSkT36O5PUXFESyj4iYCXgld4FEfvzxR918883BzQ9zAEHPPv7449AIOBk4KUE0EA7nBTIyYiL8QdE/3mjWJJzSyLnTsGujsGBXs2Q/zU4jI0IXhzg4RoAN0LuRXhPhD+qf6l5J763dU/DPd19Q8kxKuOD8Ad4DBO/Cc/X344Sf1OwRjuOdsE7HLLF0+DK78MILg18+5h06cfHXP++884I9HzMdX3DkCzjf3++CgEj2ERGzCCo9rnv4be+///7Bn5tJSR577LEQKiFJ9BzrpOPEA+HkICNIx45zC07gUk6djrDgmMDnjeukTT1m6k5bsfyLc8lCbjnbVST3mSZ7F/JGwgX/OjiZI/58mxP28Zx55k7wpLPux7COlk/gNNwxGXGLVs8IXFw1acQPPfTQEIfn3XffDV8DTX30FwREso9otaDit0SSSKZBIEyccc011wQ7PQOoGL2JG1+SDDg+ELuRPZomwjYS4tzYMY00G9YDl3KJ6YivJnkXmWZHIGdbSZC9jOwhdIi96R+NwIJG9v48WXfwrNn255zcbnqcH+PppPFOJ06cGL7MCG9xwAEHhPESbdu2DV47DJSjMcDeT38MxydBXuQDWDZdd+E4P9a3Wc5NRLKPaLVIVjqXpMbn4uD4pAkAO653yv7973/Xnnvuqddee23qQB2vvMnrODyNI0htyqfh1OkIi6YIaX4MGQSxDa5ZsFwRI3Hs8kZ90wh/LIPNHqLHVu+9v0GSeTYK1/kLwfNzovbnDFhPPu/kvqb4s+NorDHPMf0hHjo+8Qxz4tInc+aZZ4Ygd8xLkDTXeQMESEveowvlx1052ccx/qXn580NRLKPaLWgUiUrO+KVMylUTCp00uaL7ZZO2W7dumnFFVcMw/GZMxVfbo5vKajWTav2NNt+QHMHNoemx0McLpbgf407p8rUtKnH/+GQaWUhhROvEy6kT0c7jToED9HTgYvJDk3/ggsuCL77o0eP/oOWTx6UFS83XrbYJl/SvNx5uWK/X3tOI5J9RKuFV7TmKpenU0H5rB84cKC+//77YNsljXXc8wh0Rqcsn/eQv1diKm3EggfXul3LdtC4Y7JjJC6jooms+c9//jNE19xtt93CPAUEusO0k3z3lBUaAYQ8nfCd1H0dYf/cJPxI9hGtFk7oTSuWVz5ABWQQDi54uFMy9L60tDR0yuJLD9F36tRJd999d+iU9XPnRmWNmPvg3UG4kHLyHbJNQ8875t3fcMMNOuyww8IMZJh3CGGNvz7lgDLCaGrOAeTj+VKevIyw7g2BNwIcg+bP+pxGJPuICAOVyys4S6+oVL6+ffuGCIrY5AlbzOTW+GXzGc9gHPYxz6x3ypJHJPsFE07MiJcFJ2Bf0lfDl91bb70VRkkTWA2yZ4wFHjzMYYDZZ/jw4dO4arKE2Gk0CHXt5O9Lv7avz2lEso9o9aBiUcEQr+heQSFwKjXxbvC4IS49dno67PDDxuWS2acIuOUVleXcqKwRcx9OuP7+WIfgEd4t8GOIrIlXDnPennvuucHtlr4bPHcoLzQEdPBi80fT9/JByAYIH+InX4if/WwDVzrmNCLZR7RqUKlce6MiNq3skDhaGhrbMsssE9zwOnbsGCo18W/ooCOULnb9SZMmBU8c8poblTVi7sPfvwtlg3IxPQLGvs/0iPTX3HPPPcG0x7SIdOJi4jn88MND3w7TIzKhDcqDlzfInfKF3z4hsNn/Z9eaXUSyj2jVcG2LyuckTZrvYyo7KnGHDh3CPLJ43rDETstISyIoMjEJIyzfe++9qdMORrJfcMG7g3CTGr2XCfYlywhgG00d0mbQ1bXXXqtdd9019Odg2tlqq63C9IgPPPBAGIOBZu/ljYaCKRWZIP3ll18OSkMy7zmJSPYRrRZeaZ3svVKTDiBt/Kixz6PJQ/T4WTPNINto+ExyjTcGE2QQx54ol267j1gwwft3skf7pmxQLhDSXfOmvPh+L0uYZPDPx7SHaWfHHXcMZh1MgD49IvsgfbR6omsSgZMvAEbtQvyUHy+DcxKR7CNaLbyCUmmd6L0iI3SuMXyeSS8gecgejR5ZZZVVwjamHT7ZsdHSeevBzyIWTHiZoBx4uXCCZ92VAo6jMWD8BQRPWhKkY5qhTBx00EGB7JdccsmgJDDPwU033RTs/XT0PvTQQ8FMSCfvddddF8ZqcJ05jUj2Ea0Wf0b2rNMBx7B5PsEJfwu582kO0eNfjTmHyktnLSETOJbPcEggYsEE797J3YWykGwAPI11vv7cL59zPQ8a/F9//TX43jPYDs3dA+XRsX/wwQcH8yCmG8Iy4L7r4zVIw+NnTiOSfUSrhZN6skInKzPREKl4aGZMcIEGT7xzlmj6DKwhdgrmG3yr6ZylknvDEbHgwcme9+fk7fDy4pIsPwjbyWPQzvGy4WuPUbbETcKWT3A1lIRddtklKBIQPA0BZYqGgFDZvXv3DuM5vBHxe3L4NdjXUkSyj2jV8ArqQuVCAJ1nTFiNXR7NHvMN2hcaPp/caGtEuPzll19CxYboEa/4EQsmvCxMD83tT2433QcpQ/r43RNPhwnoGaOB4gDxQ/CEVKYzl3KGjR/bPoTvcfS9XPq1fZt9LUUk+4hWDSoOFcYJ2rUlhHgn/okN0VMR0fDR6Bky36tXr+Au5xoXhI/4dkREUzjpP/roo2EELiTvJkInfBwAaAwuueQS9enTJ3jvAFcovLxiPvLBWS1BJPuIVg3Xkqgwvg5ZI1RKJq5A+6IC0sGGFsanN+Yd3DKpdH6858c6y4iI5oCbJv07uO3i0eUuvYzGRjDn0PFP3CU6bOnodUKH7OkTooyRhudOJPuIiBkAQoas/XOYCuQ2d7QmtKojjjhC//jHP7TooouGislMRvjTM9GFa1lN84pkH9EUlAmIGV/8F198MYTYwAMHol9sscWmavd0/jvZYzLEc4dBWcyS5ZjVchbJPqLVgsriRO9kjZbEEq2dCId0otEhi8cNwa9wxaTjDKJHXKvifDQu17oiIpKgnFFuKD945xB2g76gjTfeOPT/0GGLqZCyhikHby/vJ/Kyh4bvPvizQviR7CMiDE70gMpDSOPLL788xL45++yzQ2cZ9lYqmIuTulc+hLSZqYARrQOUB8oMJhzcc9HUmcicCJo9e/YM5prTTjsteHcRY4ewHJgPIX1i57v58M033wxeYk72KBestwSR7CMiDEmyB9jrGRDD4BfimmDWARA5FYxjm5K9E30k+4imoEwkywzgy5DOV8Zz0AB4jBwaALy8brnlltBnhMJBh+3WW28dYjFh78fN18tZMs8/QyT7iAiDa16uKVH5+vfvH0Y5+gAX38/S16nAXuFc22qpphXReuBknywbXl6SZE1ZQvsnqB7kz/iN999/P0TWZDwHXjx8EWAS4nzOjWQfEdECULmSJI0rGySObZTYJWhevs87b6lcLNH2OdbzoTJ7hWY7IsLhpJwsF16OKDNertjvx1K2KGOQP2WRcR+EUsA5gDQvlxzbEkSyj2jVoHJRqRAqDiTv616RECqWV0jfTmpqTvbJShsR4ZheeSAdocw0BWXLyxNgSRnzMjqzZS2SfUSrBhWFSkPFarqeFK9Uye1kRWsuLSJidkBZcoUjiWT6zJS1SPYRERERrQCR7CMiIiJaASLZR0RERLQCRLKPiIiIaAWIZB8RERHRChDJPiIiIqIVIJJ9RERERCtAJPuIiIiIVoBI9hERERGtAJHsIyIiIloBItlHREREtAJEso+IiIhoBYhkHxEREdEKEMk+IiIiohUgkn1ERETEQg/p/weF66dmavIbwQAAAABJRU5ErkJggg==)
If m∠ 4 = 30, then m∠ 5? m∠ 4.
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
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)
m∠ 8 + m∠ 6? 150
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
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)
m∠ 8 + m∠ 6? 150
When two angles are formed on a straight line, they are called linear pair.
What is the reason for statement 2?
![angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text](data:image/png;base64,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)
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)
Statement | Reason | |
1 | ||
2 | ||
3 |
Alternate exterior angles are always equal.
What is the reason for statement 2?
![angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text](data:image/png;base64,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)
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)
Statement | Reason | |
1 | ||
2 | ||
3 |
Alternate exterior angles are always equal.
What is the reason for statement 3?
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)
Statement | Reason | |
1 | ||
2 | ||
3 |
Corresponding angles are equal.
What is the reason for statement 3?
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)
Statement | Reason | |
1 | ||
2 | ||
3 |
Corresponding angles are equal.
Solve for x.
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)
In math, a linear pair of angles are those two adjacent angles whose sum is 180°.
Solve for x.
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)
In math, a linear pair of angles are those two adjacent angles whose sum is 180°.
Solve for x.
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)
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
Solve for x.
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)
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
Angles 4 and 1 are what angle pair?
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)
Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.
(1) Adjacent Supplementary angle.
(2) Non - Adjacent Supplementary angle.
Angles 4 and 1 are what angle pair?
![](data:image/png;base64,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)
Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.
(1) Adjacent Supplementary angle.
(2) Non - Adjacent Supplementary angle.
What is the value of x?
![](data:image/png;base64,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)
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
What is the value of x?
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)
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
Name a pair of angles that are vertical.
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)
They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.
Name a pair of angles that are vertical.
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)
They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.
Find the values of x and y.
![](data:image/png;base64,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)
Vertically opposite angles are always equal.
Find the values of x and y.
![](data:image/png;base64,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)
Vertically opposite angles are always equal.