Question
Give the reason for statement #4.
Given: PS = RT, PQ = ST
Prove: QS = RS
![](data:image/png;base64,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)
Statement | Reason |
1. PS = RT, PQ = ST |
1. |
2. PQ + QS = PS |
2. |
3. ST + QS = RT |
3. |
4. RS + ST = RT |
4. |
5. ST + QS = RS + ST |
5. |
6. QS = RS |
6. |
- Reflexive property
- Addition of equality
- Substitution
- Segment Addition Postulate
Hint:
Segment Addition Postulate .
The correct answer is: Segment Addition Postulate
The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments. So, if we have three collinear points A, B, and C on segment AC, it means AB + BC = AC. It is a mathematical fact that can be accepted without proof.
So , RS + ST = RT holds .
Geometrically, a line segment with three collinear points is subject to the segment addition postulate. By the segment addition postulate, point B will only be on the same line segment as points A and C if the sum of AB and BC equals AC if there are two given points on the segment between them, A and C. According to the segment addition postulate, if a line segment has endpoints A and C, and a third point B, then only if the equation AB + BC = AC is true does the third point B lie on the line segment AC. To further comprehend this postulate, look at the illustration provided below.
Related Questions to study
Find the measure of each angle in the diagram.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATkAAACZCAYAAABUik2rAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGqESURBVHhe7Z0HuB5F2f4jRYEQinRULCCIiCCgoAgKCAoqIoiIiu3zr58FEUE/O0iTEkJ6r6T3hJACKaSRRiopp/feey/3f3573ieZvHlPcpKchJNk7+t9rt13dnZ2dnfm3ueZeWamm0KECBHiKEZIciFChDiqEZJciBAhjmqEJBciRIijGiHJhQgR4qhGSHIhQoQ4qtEhkmttbQ3kYGBpHGw6IUKE6Lqgfjc3N6ulpSVmXfd5INbxvWFf6bWHPUiOyJZBk4aGBlVXV6u+vl6NjY2BEMbNWJy9gePEbWpq2vkADHZ+R9IJESJE1wX1lzpeW1sbcIXPDyYcR+CAaCJknzDOM44hHRPC/PgW13ilPcQkOU4iQctQWVmZ4uPjtXr1aq1cuVIbN25Uamqq8vPzVVpaGhAgGfIRfQP8t/SQ6AdgGfbPCREixJEDq+N1dXUBKbFvPMIxPw513fYhxaqqKtXU1KioqEjJycnatm2b1q9fr6VLl2rVqlVKSUlRZWXlznTgCSM4S689tEtyZBLiQrjwkiVL9Oyzz+rXv/61/vjHP+qVV17RmDFjNHXqVL3++ut64403tG7duiBzCQkJSkxMVGZmpnJzc1VcXBwQod2wbX1ys8zaTYQIEeLIAnUXoV77PELdLykpCbggKysrIKy4uDi9++67AWfALXPmzNGsWbP06quv6qWXXtLf/vY3Pfzww/rtb3+r559/XitWrAiULVOE2CL+NdtDu+aqfzKkBHlxsVtvvVUf+chHAvn0pz+tL37xi4Fcd911wbEHH3xQv//97/X3v/9dL7zwgl5++WVNnDhRmzZtCsiOtEjThAcB8xPO9UKECHHkwa/TvlCnCwsLtXz5cg0cOFD/+c9/Am6AI370ox/pu9/9ru688059+ctf1hVXXKFPfepTgVx44YX6+Mc/rgceeEDDhw8P+Mc4As5g3wjPpD3sQXK+VmUCUCffeeedgLi+9rWv6ZxzzlH37t11/vnnB5m56KKLAuL7xCc+EWTyyiuv1DXXXKPrr78+0Pzmzp2rjIyMgNCAZYpMk2EjvxAhQhyZ8OsyvEF9Zpuenq4pU6bof//3f3XDDTfoM5/5TCAXX3xxwBsf/ehHA4FTTjnlFJ155pn65Cc/qfvvv1/jxo1TWlpaoA2SPoJ1yTXY5xqm0bWHPUiOyGTM1EHLNOEQ3ebNmzVo0KAgA5DbGWecoQsuuCAgNzIM6ZFZmPizn/2sfvrTnwYq6I4dOwJ1k7RMhbV07XohyYUIceTC6nI0f1Dv4Y0hQ4bovvvu02WXXaYPfehDAVeYxgbhsQ+fYCH+6le/0vTp05Wdnb2TwEgXgjPLD75AjPTa4492Sc7PKKREOInQOEibGwz7wx/+MNDeyBgEB9HByGT2wx/+sD7/+c8H6umaNWsCU9WIzCc5yzjb9jIZIkSIrg3qLvWbemxcYSQHKeXl5QXt9r/5zW8C5QfegCM+9rGP7dToUJauuuoq/e53v9Ps2bODc4wzLC0jNLsOYv/bQ0yS4ySIiC3/LfN2QY6hgkJ09957b5BRiI0taibMzE1gtj700EOBLU4vCQ2OsDrnW1r+tfgfIkSIIw9GRFavjScgKrQ4Oidp6rrrrrt2cgRKkXHHeeedFzRxPfLIIwEZ4rlhabGFf3wCNV5ia2HtIWbHA4kZO1rGyTCMDJOSKMdycnI0adKkoAERGxtig5EvueQSXX755YHaeemllwbtcsT573//G7TNJSUlBaavZdJuYG8ZDREiRNeGkQ/cgTKzffv2oC3u//7v//Stb30raKO3jgX4gi1mK81baHCPPfZYoAzhlma8YxxhYhzBvh3bF2/E7HiAyNhyMlsjPLbRpiUZgqV//OMfB4QGK2Om0hZHpulxPfvss4PGRI5zs//+97+DLmO0QdICdq19ZXhvx/1j+0onRIijEZT7joiP6P8dQXvnoAzREzp27Fg9+uijQf1H8Tn99NMDs/T73/9+0BH5gx/8IOhNPeusswJl6M9//nPgF4fPHPBJDYEbTBmyY4Qh9r89tEtydhJbn9TY2gUsDk56NBL+/Oc/DxgZlxLa4jZs2BBobtzsLbfcEqioH/zgBwNb/LbbbtM//vGPwPamjY80YoFrINHXt2v78I9Z/BAhjiVQ7jsi1BGrw/w3sG/kYfGMWABb2zdwHF9a6ju+s/Sifu5znwuUG7Q0yAxXkWeeeUbLli0L3EkgNczTq6++OtD0OBfeAaTv542tEZzlxcJ9aQ8xzdV9bZHoxMvLywONDmdh7O7nnnsuuHFAFzCa29NPPx3cLGoqDwCtD/8YSBCzly+A9cAauJY9dLsex/2X4B8zsfyGCHEswernvoQ6Y4QRXb/8/2a9sW+wNNC6sMbeeust9e3bN9DO0MroNaUTAd9ZFJ9+/foF5EbzFucxegoFB6sOp18IjutZvUbIG1u7lg8Li5b2sAfJdRQkapmxffzg0My4KUZC4OUMUGExa2mLo1GR0RKYs9dee23QGwvp3XzzzfrlL38ZuKfw0CBG2gDtRtnysHkQiL0QwojHNYhjL4ntvm4+RIijDVbm9yZ+HfHrEFurbwj7Vr8N/EehgahQXNDOvve97wU9prSvYZLefvvtgeIyYsSIYKQCvEAbPOcC67Ts37+/Fi9eHCg25MPqu+XLv+7B4KBIzs8MQiZha4ZrbNmyRRUVFUE4N2dfBG6IsWncHGT3i1/8Ql/5yld2dlJg6tK+x9CON998MyBGHqq9gGixtNna/+gXFiLEsQKri3sT6iz1A8WAfeqJKQ/sW532t8QtKCgI6vWMGTOCdnWsMhQV/N4wPbHg/vSnP2nkyJFau3ZtMKwTDiBduzZA+aFTAiFNq7tohlZnLW5n4IBJzgcPgYzaFtbGL45Mk1nCjIhM8JNjkD9aG4zOGLU77rgj0OronaVHliFi9Mi+9tprwQMhTSMvewHRQtq8EJ/4CA8R4lhAdH2IJdQdIzn+A+oJYdQbv24RB8UFX1ec+jEvITfa0mhjZ4sb2b/+9a+gJ5VRUZAbdZ/6R3pWF0mX66CE4G/LlnCEa1vd7mx0iiZHxngYlkG23BhbxMjGv2E7n/94NTPTwOjRowM1F3UXXxra7OjIoEeG9ryZM2cG7Xa09fFA7AVZWv61CLPrW7wQIY52UNb3JX69NaEeUoet/qCoMKCe9jJ6Suko+MY3vhFobfi2QW7f+c53gra1adOmBSOa6DzkXNIGbI1M2fKf9BHLA/v+ccsP+ewsHDDJ2Q0YmbFvmfcfqN2k3bzdiD1MA/EwZelppacWtRczFhsfW5+Hy0Def/7zn4G6TJsA8Unb0iUN+zr4+QgR4liBX/f2JtQ9Izarw2zRwDAh3377bQ0bNiwYSH/TTTcFjrvUQ/xfGZplzUk0PWGS+nXZ6iPXsX0T6ibXYYtQZxHLlxEe6fG/M3BQmpxlmAwhdmO+EIevAkJcC7ebZt8H/1Fl6XjgIeIljXoM2eFrQ68NpiwPH80P3xra7Ayx8hIixLECK/P7EuoIdZN9wD6jE3DvsJ5Smo6ocwzbpM2N0UsDBgwI2tuYWYT6bOB8q3d+3UbYN2Kz+mlicQFxiYf4aRwsDork7AaiM2PhFgdmhqG5SYR9+2/nEd8ehIHzmH8KsmOaJ3pxePCnnXZaMAyETgp8cujFYV4qHryfDx6if40QIY52WJ3blxhQKGgbp469+OKLwdRGEBrKBK4gOPZTx/B6gADR8qxuW3028eu8XYMwjvnaWbQY4bFPfF8IO1gcdJucZTQ6Y/4x/7jdcLRZ6R9ja+dx82iBaHb0yPbp0ydwNeHh435CJ8WXvvQl/exnP1Pv3r2DjgxeGudYOiFCHCuwehNLfFA/6MyjnfuJJ57QPffcEzjt0g5Oh8LXv/71wEl3woQJwVyQjCXFlAXUSZQU6jCKCf/9+m513faNxGzf1+osjP8GzrNjnYGDIjnLSPTN2H+2/jH77x+3LWCfm2Xr/+dctvTI0tODiTp06NBgRgNGTuB6AuHhfMjMKHRSMMsonRT451n6e4PlK0SIIxV+fYpVnlEg6LRjVl46C/7yl78E5IbmRmcC40lxA2E4JuQGCdIUBKFRBw1WH/06zb5dm60dA34cCI70TLPzzzGw7/8/WBy0uRpL2jseC9HHovftIfjgQaE20109atSooH3uq1/9akB2DBmj/Y6JPekRolubTgr7CkXDrhHrOiFCHEmg/LZXhvFNY40W2tT+53/+R1/4wheCCTXQ2nDkpd37ySefDJQDyA0ypJ5Fw67hX8cPixaD/aee+eQWHQ9E/z9YHDDJdQUY2dHNzZepZ8+ewVQtuJyg4TGK4tvf/nYwPxUdGOPHjw88sPG49knPHn57ZMd/ezGxwPH2JESIWKBsxCprgLBoImiv7MUC1gsuHQylol7gh4p/GxNRMhsQE97S9gbZ4QJCe9uCBQsCzwbMWB92/SMZRyTJ8dB9szYaqNi8tMcffzxwQ0EVZxYUJgfA7w4iZEgKbXeYwPYS2cb6yhCGeg2psm/xgX8Owr7J/hTMEMcWKBtWnoCVNUAY5c1MOso6ca2MIX4ZBITRicAIITri6B3F7YqeUaYUp6OOdjYUAX8w/LGAI5bkjESQaEKhUKBus3QiY+T++te/Bm0PDB1jYgDM2bvvvjvw0uZLh3pujowgOn3/OhQO0vfjWfsEcQjzJUSIWKBsWHlhSxlC/DDKlL/vlz/CERr/caannZqyzgpXNN1ghuLXxrArtDfGmNLJgIaHX9uxhCOW5EysAPDi+doZ4SCYpHRU8OXCgdhmQaGhFedG2iKYCYGGVsbbQYq4ofBF5Hw/fftv+4T7x/xw4oUIsS9El18ru4T7YmXL4hMPs5KB7zYDCKYoVgvt0rhZMbsPk2D06tVLixYtCtql+fBTJyBK0jlWcES3yQG/ECAUAPvaWQGiN8cGBTOaglETkB2Nr3SbQ3a04UF2qPrMTkq7HaasFTwTI1IjMxP+m/jhIULEgpUZypSVGytfbK38WLmzOGhhmKT4teEyhTsVIxJwpUJuvPHGwJ2KyS+IQ1zKsaXBlvrB9ljBEavJ8cKsICAGwiko5mzMfwP7DAWD7Bj0T2cEXzv87DBhGS/LF5Cvojk/2jQxRm7RBMo+wr6fH/5bWIgQ0fDLiJUlJNocZZ+ybOQ2f/78oF2N0Qe4TOE6ZeX2//2//xd0MqC5WeealVXS8sss+8cKjuiOBysg/Ldwv8DYMTtuIJwCwGwJFAib3w6NjgZaHCKZj54w5sajR5aRF5wD2dk1KJCYtgj7hJvwH4m+dogQBitHlGXKCmWLrZVt9ulEwxGecvrss88G3gKMH2U0Au5SrGOKvygz8toC7pCilTvS8B3vTY6lcnnEkpxpVuzbf16meWHbyySOFZpYL5YCgTc37Xa0yzHlE19IemN79OgRaHgULKZzR/1nfB8Fx0+f65E+YvtWqEKEaA+UR8qIlR0rL4TTvMK8jLQls+I8zSmQ2kknnRR0KDBTD24h+IFu3bp1t/HbBiuHVhYRn/SOFRzRmpxPIvzn5fnaFhL9ogFb/vukxz6mLAWLryJkR/sGmh1d8DhO0knx1FNPBbMbs7wiBctPg3RjmckhQrSH6PJDmYK06CllwRfWRkFrO/HEE4MyiBsIE1bS3MIMILS3+SANhHQtbf5TJxBIjjJKvThWcMSSHOK/TPaNzCzMwL7/pbS4/n87TkHgK0pBw70EZ0mmeKLdA8KjDQSyw/2EgkiPLCaCpWV5sfT8fIQIEQt8nGkOsemNcF7HDQQrAq2N4VZMb4S5Spsc5GYuT1bWrexbuTOxsg+5WZm3c44VHNEkh/DSeIkmsV4i+3YM2Dn23+KbEE6hwHOcrne+mrifMAMqqxCxxBpd9Qwdw7GYHllmTrVBzJYHSx9EXwM5etGqmoZmldQ1q/IQKQzN9U1KLqnX5pJG5R9my4t3x7u19xwL9o73FocOLRzSaW/D1YM2YGbWwb3JOhNYHoB2YTrBiGvTiVt5t7QhsGgLxo77+fDlWMERSXI+ol+cL4bosOj/oL0wCg5kx6Bmllekk4Jp2ZkFBX8khC58erYGDhwYDKWhR5YvLecaSItCZ19cK4x2zLYmhlhhhxMt9Q1alVKuodvKNWR7ucZnNrRLXK3u/lLyqjRxa4n+s7pQj79dpH9tKNOY1FrtqHH3H4l3UGhtUU5hlfqvzNG3pqfrC9Nz9D9ry7WgtFk1kSiHErwH3hvv1sjG3g3h9n6NZOxdG/iPiYk2xqgbphBjTRPKEy4glCf83ejhpzytXLkycPalc8tPx/LhX9v+R4uP9sKPZhzxJNdZ4KVHFxorxIBwiItufNrk8FFiuTV87TBh+fpaNz5fXjopEhMTd7aZWPpW+K0C+Fvi+GLHYlWoQ49WVdXUacY7Ofr8sDh1e8VJv0SdM79CybUx8uDytiO1SA9MSFS3Pi5ur4j0jle3Iam6Y1Wl1jiiOyi4ey8rqtCjM1J0+rBkXTwxQ9dNTNHZg5N1+fxiTSs/dM/Gfy+8R94LYmWGd4P2DxmhzfPff9/Epc2XmXEYeYBlwPyIkBtaG0Ow6FygHc5WucKE5b2HODiEJBeBFVQKJmBr7RgcA2wpwLShYJpSEPna0oUPwdEwjPsJvbN8nZmEcOHChQHZ0aBsaQOfvPz2EqsUVjE4RkOxxSH8kMPlI7+oUs8vTNfHBjuS6uekr5OBSTp/QYVSYpBcnSOfZ15LaiO4/ok6bVSqPj0+WWcNTnDnurChmfp9XJ3aFqk8MLQ2NGrRqnRdODxFX3akua7WcWttjQYtStMZQ9J0z4ZalUXidjaM3Ozd8N8vF7wbygUfNcqIHee90WaLbybkRk8payVAbExMieZGmy/THk2cODHo+IIMD8t7PkYQklw7oEBHa1AmfkGnYGN6MP8WWhwER1c/BZixsoyRZYQFC2/TpoI2aGSFGLmRll2TisGW/74cNpKrqtJLb6bp+EB7c+Q2wBEV20FJ+tAbsUiuRe8mFuobgcYXr1PGZOmx9AZlVVbrhTkpOqufC++VqOuWV2hZfeSUA0BzbZ36z03SmWNy9EKh+yBFwlMT8/XV4cm6akmF3o2EdTZ4Pzx/v0wgvBcrE/YuAe+QIYKQFh1YTEDJrDj0lDJRBKYp5IYbCMexEChLll6IzkNIcnuBX3h9MjIxsM8XnLY4TFlIja5/tDrmyEfDo7eMxXkmTZoUDJKO7voHlq5VIKtE7V33kMFpnf98LdkRW7IuHJumT4+KkJzT5GKTXIPe2JSjy/rscOZpki6cVqhZQWdAs1auydBlQ925znQ9b26xJpYGJ+yG5han8USkySXtp95CeHOb1NXWa/zCFJ0zIkO/T3Uk4iK2tLprbMrWZ4Y47W5llVIj53U2eO72LngvEB2kZC5D9l44htbOXIdM7MqHD5P03HPPDfwuMUsxU5977rmgrNiHj/OApcv2sLzrYwAhyUXgF95oQrNjFhbrmBV0yAvTBCdOJiFk9hNGUlDI0e7opKDdhTUsqQh87UnDh6UdLYcNZZV6cVmuHlxXqUkJpfrfSY6kMDnbI7mWOk1bk6nzers4fZP0sdeKtSy4JafhbczSZ0e0kdxJMwo0JH/3e62urtWIpZm6dVq6rpuWpd/tqFNSpLe0ML9Cz72ZoasmZuiW+QUakNOohKR83TIqSR8cn6WfvF2kf6/I0U2jE3TqhFz9K91pWm2ndjrsPaOhGblRVgjn3dMWxwgapuh/+eWXg15R2mvR6nEDsSYM2nKXLFkS+FnSu8q5Vu4sTYSw9+TdH4UISS4CCpIVNr+QGfwC55McQkH1z6Ei0K6C+wlmKmNkmaSQueyY2w5TBdPFFgihR5bJPznPJzy7FunaNQ8LmpqVWdEoZ3GqqLBCj0/ZB8k11mjcinT1CMzbZH3i9RKtChSTFu3YnK2rR7rz3bH3Tc5Xn6zdze2qyho9PY3j29Xt5QR9cU21NgVM1ag3NqAdtoWfO7NIc6rds3bPecX2At09OUVnD03UaUMdqU7P1T8S6+Q48JCBZ2/lw94T+7xn63lnmT6IjCGBdETh50ZPKX5v+L/hBmITP9j79MscQri9c8oVwv8QB46Q5Dz4pOITi5GL7fsSHe6fQwHFdKG9hUk88YX6yU9+EnzhqQT42tFhQRimDdPmQIz+SArSs6+9pX04UZRXrkcm74Pk6mo0alm6ToqQ3MWvl+4kuYQtObpmpDN3OTYxT70ydndqq6uuU//XE9W9vzveJ0m3vVOjbdTp8go9MSdZx7+4QyeOytCPtjXschFpblJCfrVmJlZoXFKVFhY1quQQ8oD/XgHvgneExs504TjpmlsRxEZnAs0VkNvw4cODJfzoqPLb3Nia2Ltla8d455Bp9IcvxP4jJDkPFCYKmQn/TYAfzjYahMX6+lJ4MWdwCcBUsRXH+MrTy4ZJQwWhovz3v/8NCJFB2Tb7ieWBdJDDiYIOkVy1MznT9f4YJJfok9yEPPV0JqWPhtp6jX4jWacPcNdw596+oVZJ7ryU7Xn66rAd7rxEpxkWa27sJToOG3gP9JoyGobecjQ3hviZgzjaOQPnb7311qA5grVHGA+Nho4ZGl0eSI+t/26t3Phlj/BYZS1ExxGSXAQUKL6aPolQuPhvhZH/fgG0wmf/EYsffZ6BAs8gf9rjaJdjjCxTPdFuQ0fF1VdfHQzhYUKA2bNnB203aACkZRqdwfLjp9/Z6BDJ1Ve3q8klbsneK8k1OZKbuiRFZ0ZI7uubapVaVaMhi9J02kvbdcLITP3EaXERb8MO3WtnPBP/fJ45biCbN28OhvIxrT5jSG2oH9tvfvObQYcTbbF0LEGG0WlQFgBbypp1WvhlJ7q8dMa9HOsISS4CCpJ9XQ2E8R+JLnh+YWRrYvALrYl/HDBEBxcDyAz/KVwKMHds8Wx6ZHExwCRqb9pqX3O09LmurylEX3d/0CGSa6BNLmNnmxwk93aE5OI3Z+tzkTa5bpOcuZq5O8m1uoo+d3mazh7YRnLferdGC+OK9JPx7v9LibpkfrFe29kR3faMo5+pL0Esb99H9Hk+CLPnZWAfstqyZUswacMf/vCHYNIGXEA+8IEPBO2rzFCDRodmR08p78IH14l1Pf8d+cfY39v/EPuPkOS6CDBlGebDwP877rgjGB/bvXv3oEIxnpFZi3E/YeIAGrv9ykRlMSGcrfXUUYlM/ApMxYlVsaPRIZJrqtWklZk6k95VR1SfmFOi5RGS27YpW1fRu+pI7n1T8tU3e9dHJIDTaJatTtd5g9pI7r5NZfrzomxd1ne73jc8Sz/fVq+d60dFKjz5bU+MFExixUHsvpG2pHfFR8tiKN+6deuCttJf//rXgUl6zjnnBB8f3EDwf2RIFrNI095m6YToeghJrouASme+dlQc5u1nxSUasVl8B9Kjw4K2vCFDhgQ9slQuiIwKBrlh1iK+Zke61oAdHc650SZ6NDpEcq11mrEmS+dHXEgumlmshRGS27g+S1cOd+f3itMpMwo1LMqFxGVCG9Zn6EJGRvRL0e1vZukLE1PUrWe8PrGgWDM85dWIKFq4p1jCMSN+7jH6HAsD/Dc3EDqAbIwy64Hg/kNzAs+fZfx4/jYhgz1vSydE10NIcl0MVErMUkZR4CzKVNfM2Y+ZRG8sDdzXX399sAITFZEKScWkgprmZhWOfSqgVXITiI1GdGsT2lsF7RDJqUlvbcnVZxnZ0DtR50zK16tBR0GT5i9P1ycGu/CX43TRghJNi7a43fXjt2Tpo0MhuSSdPypJpw5yWt+wLP1qR538qSCNuKJhhMUWsXsmroXZvUefzzPDJKWnFE0aJ13W7YXcGJPMR4bZZmz9D543Wre5gURfL0TXQ0hyXQRUQCqKVVaICLOUjgd6ZBn0j0sCg7ipeLTd4WD6wx/+MHA+ZboeXFU4h4obXcHZWhjXidbs2kPHSE5KSi3WA6NdnFfidcLIDP1oa43Wu3P/MDVZp3Bu72R9bU2lNkQrjc1Nytieo08OcyTH+FiGkPWO18UQYtRkt9F5tfsxArP7tH3/fn0SYsszYvUqpgxndl0momQkAkv4sZwfHxNm36WTYezYscGSf6z8xgfI8oFwHXuOIbomQpLrIqCiUPF84mGLYBLhUsK0OziV/v73vw/IDqJjyBhmFHOR4XTM3HfMdEFvYKy0CPPDTdoDJPfwJEhqRzDw/rwFsWchaa6q0rAlqTqF4V/9EnTi0GSdOzJJJ0FajrzeNzZXz6Y17DkioaVZ2Yl5umo4s5dwrpMhmfrNjlqVRF3G8gzsnozQjNT8cO6TLc+VMAQN1tYpnTx5cjCmlJXbaHPDd5HxxvScorkZuTEqxXq4o69v4l8vRNdCSHJdBH6FQagwVE6rNFQqtC+0D/yv/OmxITvajFhekQrLND702KLZQXZUbNJBMFF9M9WkPUByv5+4b5JjnreCwgo9NT9NF9BTSm8qUy05wjtjQrb+GFerdAamRqO1WflpBfriiAjJOUL82PxSzSzbM649GyMYuyeE/4Bj9uyM3Hhu+Bya687o0aODZ4emBrFhljL77l133RUsRM6AeZtanLRII/oD5OeBcK4BEbIN0bUQklwXgV9ZqTRUmPYatYmH2YQpy7Ax3ExwN8GpmB5ASA+nVLSU8ePHB/5d1iNr10Gsskan76OhoUnx+dV6M9NJVo2WFTeptl3LrFVlFXVanlapke+W6pXNpRqWWKXFBQ0q2N2zYhdampS4I0dXYK5CcoMz9Nv4OhXFuIZPLCb8N7H7iI6Xm5sbDKkaMGBAMBklvdX0kp5xxhmB6c/4YkYtmBM2HwUfsQiOdCE0hGP+sw3RtRCSXBeBVRKrnKaJRFeg6EqEVoZ/FmSHAzHrT9ATy8InZ511VlChMW9xPKb9ieFIPowgOh2OCBpb2idPQ21NjfrMTWkb8eBI7sK5pXqtPHZ+osnLJx32jXT4zzOjDY11ExgUf//99weExipsEBwdC3Te0FNKZwJjSnmWBnv+XIe0/Gdk17N3Y/mwYyG6FkKS6yKIrrhsET/c/lscH9ZuR4+sTQiAJz6aHRoe7XbMjMEknzbrLOe8p3BaXHxivq5jKqZAi0vX/ybWq2AvnOs/k+hnQBgmJhruvHnzgiFymO8Mt+I5MKKEnmkmRrAxpfjD+SamPXsjuVjPuj0Qr6NxQxw+hCTXRWAVd1+Vyiq5xbGKhRCOKwltTziy2hTtDBvDO5+2J3pkIUBcJVj5iXGYtFf5IC2ug+wLdm2Df64vfpw2ONO2pEL/nubM1J7MNBKv018r1YLKPe/LPzdWGMAcxw3ExpTirGuLhdPuRvsbnQlotDwb2jbRwvz0/HT9/Y7iQM4JcegRklwXgVWQfVUSP54vPviP6UVbFD2ygwcPDkxWpt2mgR3CY9onTDhMXPzDEhISAn8xM/cgTN8Ui0VYfpiBfTPjfPGJuQ0tyi10JPdGlu6cnaVvzs3Vkyn1yscaj1zfxK65+/m0F7aNTGDIGz2lTCFO5wH3SLskPaYMu6Jtkpmb6bDhmZiPmw9LP/oaIY58hCR3lAOTFNMUD320GLQZXCRwlcCchQjwD8NPjDUGaLczE87apHyBsHzSQaJJzojJFz8soBF3XmNjs4pqGlVQjTSoJkjbkaF3XhA/cg3LA3lDE8O9w3pKIXDa2dDamM+NSQ5YM5eeUsaemhuI3RfphTg2EJLcMQLIiYrOYthoPUwIwMwZkB2aHdoP/9F6GCNrxAApGMGQhhGfr/H4ZGdEFH2cc33iNPJqdaSG+wn+cixpSLgd88E5Nuxt1apVO8mN+fiYcdmGXeEcTZskHTFMfhA9Nx95sHuKRmtLq2obW1TrshRS4H7CPeP6phZVNbl3vfure89x2EmO+fzrm5050sUeRFcGdbQpss7BgVS+gEw8QaOhLQ4tBw3uO9/5TqAF0SuL0CMLgUCGuJ8wJxrncK4REFsjNCMttpBZtLbHPuRGGuaj55/TFq9tnzDEwL61M9JTSseJTS0OsdHmBkFDbja1OJor17Hr+9IeWlubtS29XAM2lev1kiZVRsKPelC2Imtr7As8P+LGLIPuw7EmpVTPb63UorLYpbSluUWV9S2qaDywcnygOKwkV1lZpzfiyjQ+rU6p7bgTUQ478LyPKTQ1NGlLWrlGx1dpTbUz8yLhu8E9uGDBF1d62p4fD7KtYkMUpoX5BMJ/BpmzbCI9kZitDGc6+eSTA/cTiISFWJiJg/YsGvchIkA6aERmAvLfxL+mT3p7E9KFmMiTkRHpQlj4uPXv3z/IH5onM7PgCgIxM2CeMaWYrpiwnG8IKmXkvpFdhLon4TVUVerP01nPNUt/T29Q9BDbVldBSyvrtbWoXpudbHGytcKRYTvluKujxT2Loop6rU6v0qSECk1OqdHK4kYVNDgFJBKnDa5MNTYrvahG81MqND6hUrMya/RuZZMq/Ij1NRr+VppOHpKu+zbW7po5JkCraqpq9dq2Yv1pab4eWVum6XmNasdTqNNxGEmuSSu35um6Icn6wqIyrfXKGA88p7RWKzOqNDu1SvOyarWt0n3Bdy+HRxxampqVXdWo5PJGpVQ1q7zdz2WrqmublFHRFjer1t27VwBaqus0eUmqPjwmTd/f1qDcKMdaZtddkViip9cU6T9bKrWguFl1+KhhAkYqNERChYdIcHb1yYDeVXzt0IIgE2Y6YaZitCSEiTyZkYMxssx+gsmIdmUERbpmBvramIlPLH58IzXCAMc5HxOTaeDpELGeUsgX4qWH2BZhNt8/yM00N0B6pINwLRMLszztBEPLkvJ0DQ7JY/I1NM/FiRwylBRX6cnZKbpoVLIuGJmsC0el6NKFZVrYjtbSldFaW6fXNuTq1vHJOn94siP2pGCx7vNGp+mGBUV6taBp51TzRYWVenFhpi4fnaSzhyfpNBf3THfOh8dn6v61lVrnKmnwJFsbNGttls5+KUGXzCvRWzvLaKvKC8v12Jw0fWhYYnD+6UMTdc6EbP1+W53yI7EOJQ4fyVVXq+8bKerWO0XXL6+K3FyrygrK9YR7iNeOT9EnRqfoQ04+MiZFl03M1PfXVGjJ7p+EIwYsejxieZa+NDFVl49N1adfL9LonFif/RYV5ZfqkTkZ+oyLd/mrqbprdaXe2rmggUN9g1asSddJAxJ19vxyveOxf0URhTBDHxueqFOHJKq7+4h8bGquHk+sV5H7AjMAHkKBTKyy898qPVsjHpbGY0YTOinQjpi1mGFjdFAwRhbNiQZ9ho3R5kWPrHVSRBOILz7pmFZl+SEMEA9NEdKCvB599NGdnQn4+dGhgKMzw67oIMGMtjZDzrU0TCwvbO06sfIGmlwaM99K1bmD4nX6XEdcURMDqLVRG+PydPmAyFC1V5iWPU7HzSrWrOIjjeQatXhTrm7AN5GpsVgMnIkR2Gco3oAkXTS3RLMZVldTrX6L0/RBxhNzPJhKy+0Tr3e8jh+aqrs31Ghb4EPdqg078nXTgO06aUKuns6LvJOGer3q0rhwaIpuXl6mmXl1Wrw1X18fk6gzp+ard/TUW4cAh43k8jOK9bNxrnCMyNRPtjuTxIXV19Vq0IJUnR8UHnfsZbd92W3Z50E61ffba6qV3Pa8DikwR4qrG5Ve3SyniR8EmpWbV66n3nTEwxRDVAr8wEbn6r+pUQk3NmlNXKEemhaZqYP7f2mHLlxQqhl+o1Brk1JS8nTFoEQdPzpPA9HUCG+q06SVGfrQ4GR9dkGJxqRVaeS6XN04MlHnTinQiKJGVbc4EmtsX8sykqPCs4V8MEExYyE71ipAa6JHFqda2sHokcXXDveTqVOnBoRjEwL4MCIhXSMb/3qE2ZhS0sDNg1k/8GmDWOkQwa8PVxcmE2VqcUjQVjaz9O1a/nXY+mF2TbYmbae2qrKiQo9MSNQH+iXq2tU12hy1AHZdRZUGLkjW8QMSdPxI9yEelKAT+ieo+2slmnMoV9A5FCgr179YU7enq2P9HKHNyNcryVUavz5HV6PJQmQDM/WntDq9nVKoe5lZhjLsCO1Lb5VpWnK5XliQpjMi45NPnFak2UVtH6q8zBL9cqxLd5irt5tceXPPtrG6XP9vXJI+OLVQ44sjFbm1XlNWpOtcF+/7Ww/9WN/DRHJNWrwhR5/p7Vh+cq6eyuVmW50GU6yvD3MPi4fYN1nXLipSv7hi/WFOqk6n0veK19lT8jWiwhXOtoQOGVpKKvT0kmzdNt+p63kHyHLO7MnMKnaklaIzmVsNL35XGbqxPz5PL3vrGzTVNWiJeyY3vprUVrD4WjJjhzvnUmfOv7abBtui/KJS3TvCVa4BqfpBQoNyeIRO8/ntlCR1n5SvAVaAGus1Z3m6zh6Wpgfj6pRLD0/r7sS2q5LvIgET/gO2mICQHSMDmBCAHln80CA5SAhnWzotICDIznpkMYctHcB1jHgAx9AaGZmA+Tty5Ej9+c9/3kmkmKbmtMzsu4wppaMkenSC5Z307V4gaeJwPZ/ULE70fTJBQG56gdNseE8p+mF8vdIjj7INzYp3lf3rQ3foOGeuXbbAfUSc2XWSe18nH4EkV5VepAfGuvL23DZX51L0+ZU1bW281WX6hSOjEyizfVP1/W2Venm1I74+W9Xtvy7uqCw9kkXEFhXE5ehSnpfT5rqNytWkrLamj6biCj37GhMtJOvTb5Qr3oXV1JTrF2OdiTutWPN3frgbNH9ths4Zmq77tkR9UQ4BDg/JNThTdVGaPvB8nD4yp1DjAlOsxTF/ke6akKoLRzgb36m4z+dAAk7t3ZKraweh0cWp+7gs/TnLVRJOOYRoyXV5Ge1emvuK/SX5AL8uTQ16Z2OmTkIT7eNerPsyfsB99WORXH15tXrNcteD4J2JebrT0k6MzKW2J8mxHkS1/jbZpedI86K3qrQRVc5V+l9OTFSP2UWautO8bdKW9Zk6f1iK7t5aK3+ZU6voJoAKDylADkYIEAT/LQ7HcRS2dWQxV2knoxOANjKICe0LExMypJMC7Yx2OyM2SxPiZEwp7X/0htJxgBsIxIZZSvsfY0p79eoVzJHnD5i3/AD2Lc1oovMlmtQs3k6489e753Ue78m9+79lNag4ciiAszYmOq3j1JcTdNb4TD28nXKSpPc7MtiT5JzGnVuu51cV6a9O/vVOqaYWtag6crmiAqdpbyjSYysK9Y9NFZr7HrTn1ZTWaObWYj25ukhPbirXxDbva9WVl+khR0bHQ1yO5O7dUqlZ2dV6db2L5+K+uL1Kqylz7qPA/H+XBFqfi+ssFCM5mqRGLEl1WmKCzptaoHHutTW4j+64hak602mCX11aqnEpVZq4JV93OHP1DBY2OlrM1aaCUv1xhtNYXkzU5xaWamnw0ltVU1mnecmVGpdQofFptUqsaysNm51tfxvL0TkCONmR3KPu09pWVVpVXlytSTvK9NKmUvVOqNb6yshDcoU4r7BKQ7eUqteWMg1KdZWp0SvM+0BLXrHudyZLt+HZ+nfqAZJcQ73e2ZStyydm6e5lxfqdMwvOx2Sl3SOK5KrKqtV7XqqunJWj37yTr2+8apNLxia5hpo6DZvntDZHhO+bUqyZpe7eGms18A2n9boCdOeqSr2eXaMFOwr140lJOvnVHL2Q68zVfTwCKr9pWQj75urBfx+QA75qEA8E9OKLL+4c+E6PJ+4nLLPImgiMsmC0BWRnYLQBPbmcR0cGTrt0bDC9O9ohQ9CYKYSxtRAheTAYaUUTmRHYHuTl4MeNPmZorK7Tq28m62Q+MCNz1a+gSbuu2qqCrFJnbrn34rS8z8wv0bycYn1nTJLe1w7JrY/P09X9XNmliaJ/kq5fV6dMorjn1ufNNJ3T22lFL7NAD+1eh5/kYsIR19ZtObrSZoIZlKk/Ju4+K7OhxZH+SMoc5qqLe9L0Ys2yKWOa6zRzTaZO6Rmnk8a2KScN7hmW5Jfq/+amug+vM1tHJuusoUk6x9XrR7bXKvUwPILDQnKZiQW651VXUF5J0S0rKgM1tl20Nmj6mixdOsAVFMYzTszRi84UayuiLcrYlq2rWDPgJVeIxuXqmQhxNFTVaNTCFB2HFuVM38+urNK2hn3UcA+dQnKOIDJyKjQstc4RdrNmL09ra5eLQXK1NQ1amVSuafmNKq6r0COTktuW9GuH5FrrnYrv0vvgQFcQh+XoOaf11rmnkpZZqt878/icYU4bHpeqi0Ym6YxXM/WDDTVK6aD6CwEYwZm5x38jDiMLI0MDpinmJr2urEfBUDF6QCE8emfR0lhjFu0Pk5N9SBHNj3UTcOK94YYb9Jvf/CaYDBRH5fZmSfGJyg9DjOgQi9NRlJVV6R9TE3RCP/dcJxRoQrFH7E4zf/2dbH2013Ydz2zH22qVllusu0e3zX0Xy1wtL67Uv6e743yw+ifq3LllWl1Wp4Xrs/WpIS7MlekLZhZpeMHuH5D3Dq2qLC7X49OTnJXQRlzdZxRpfKSdbTe0NGt7Yr5uGuE+tJBhvyR9cXW1Nu78KtRrofvIf5R29RHpuvvdBrUNRW5VmVNOxqwv1C8X5enny4s1JKNeuYeJ4w8DybVo6YYcfWGQI6UB7sbXVqswcsRHU3W9VmZUauzGfH13SrJO6B2n4wem6sYl5VptlbW1RSWJebphtCuQNNJPytfzmbyMVqWkuy/sSBdG4XPk17ewedeK6x1BYYl+4Ew/SO7pjF3uFQeM5iZNeytNH2mH5Hw01ZTrNxOS9YG9kBxm1UbMqmDBlzT9NKEu0nbUqtyCSvVZmav75mbrO4sK9VxCraJW/tsrIAnIDRIzovDJDeEY4oezJYxOBwa9Dxo0KCA2nIkxPRHa7W666abAJMW8ZSYQ1qqg55ROBtrymOaINjqfQIFdm3DLm8HCyTeaJ8I+eeo4WpVfVKb/eZVn6iru1CLNKt2Vh5qCMv19prNAesbrvOnO/KpoVn5Okb4+so3kTonVJue0zzfXZuhMCKNfoj4wJlt/WJGlG8aRTpx6uLL5RKrTsCPRY4E5/LIqGhRX1qCE/ZAd5Y3KcdbQ/nBHU22Nxi9L1zlMdUXP6cAU3bO5Rkl7VIFWFeeX6ZGpzqSl/biv+zC8mquXshs9x+lGLduaq0+jaAxJ1edX1SgWVx5uHAaSa9DUlU4z6+tIbkiGvuc0jD1fsPuaJOfpplHu4b3kKjoP0RWQ86bn64XdlrBrVW1agW551RUy2rIcyfXMca+0uV4zV2fqDEhicIq+8Ha1UtoxVRubWlRc06Ts6ibleJKVVqhvj3PpDnPmcVytcr1jQdyaZhXvh6d2q6uUUztEcq2q7wjJufQS383Sh4e4Ctk3SV9zz/HdTuBi4JOIkZgRmZGbiRGJkQxbhPY3yAozFt82NDQIjd5Y3E/OP//8YJJK/rO+7EsvvRQMz6Ktj/OjYddAMFttduNY+YPgMKOJFyut9sEkAaX6gdNMILnjZxRrgXmoOhNu+ZZc3cDHeVCablldozIXXJ1bqNsisxifMqdUC8ujy1mLUjKKdCfaDtqh0+Y+MCje7cfrhGHp+unWmn16C2Sll+jxNzJ184xMfW12B2VWhm56PV9PJNR3+OPe2tyo5e/m6hrcSSA4l99zZxdrZgwzuqGyWgMXpek06iZanKtnt62rUdxu/QZNWrUjX9f2cSTnjn9qaZUOtA+vM3EYSK5eY5Zm6qJXXGEZlqkHN7vCGjmyC62qTi/QvZOT1b2/K2x8BQcl6ZJZjuTSGlSxs1A4Qsgq0l18FVGJHcn1y29WXSHrELgC9UqCTh+fq5cLXcWInLE7WpSaW6EnF2bru/NydN/8HH3Pyfed3D/bEdIwV3jdy7liera+/4YLixy/12lI31tUoKfTOu6l3eIqX6eSHAu+7MjRxZBcnwRdt6pa6zppOjgjDLY+jGRMIDgjGzuOacssxfjXQVpocz/5yU92upugteHrZv/NRGVRHnpVMVHR4iAr0jOwT5gRMNe2fSNXy7dpc+TFT2PfaCO5H7HCf4Tk5tkLbqzRwCUZOuml7XqfM/9/uqNB+TWN2uosic9H2q5OnlWkMblNqqIH20N1ebVemOXMP7SjoHfdSf8UfXllhVbvPulwDLQqOS5P3x6fqNNcHWhz1O2AuHLRY3SWHtwUPdqgHTirKCG1SPcHWizElaBTXs3WP50Vs1vHi0NLY71eX5elS1gbFzIckKSPvl6iuRXRzxqXqHx9vq+rm4NSdOmSSgV9ie8xDgvJvepI7qN7JTlXh6vq9EZSuXqtzdO9U1PUwxHdCX0T9fGZBRrqPqFtj7NVDfnFum9ChOSmumPZtVq7LVefCr4eqbp+RZXS2lWRm7UpqTD4yp4yOFGnDPHE/T+B9q4BiTrR7Xcf6h0bGK/uo1J195b69qfxjkKnkxzuKfG5bV33rkBe7bTVtfusMB2DaUaxBNIwMbJhH6KBnFgLYfHixQG5Pfzww0EvK2YpCzAzJTvDwp588slgjOyPf/zjYKgYhMeqWEwIgOsIzr2MS2Ukhbmf2DWiCY08IOwbosOJ2zG0qqi4XL8dF9G6JhdqWkmk8NRV6+U30wITs9vQZH18MppVhq6flKLTKCeOvN43LEWXzC7S6Lw2v09DVVmVnp+drJN2EpyTUTl6Jr0x9pC83cA8e9WavqNUPTeWqs/mDsqmEvXcWqE5roB2RMEvzS/XP2YluzpG+XR1bUSGHtxap4zouuM02nVxBbp9JEToxFlYZ03OUz+nou2pMTZqxfY8fRZnaVcXr15RrcJ26+Lhw2EguUbNeDtLn8JcHZyhe52Z1d6XhsH7tY3NesepvHeNcg8fk3RUhh6Kb3JGbyROcakempQckNxxM4r08hb3ghck67ie8TprYq6ez3eVIxJ3T7QqzxWgoFt8XbH+E5Gn2b6Vqc/Q1jI4TbcuLNAzG0v0lMVZW6SnNpRqnHux1R1UFA6FJpe2LVsfDTS5RH1pTY02xFZX9xtGIEYqRix+mJEHW8gNvzV6SlkqkXUTWBeWOdxwBUFTY61Y1oWFAPGHQ+h8eOaZZ4J1TemYIL65nzC6gs6H1atXB+NVcRKGtIBd2/b9/PhCmElHUem0rv/OdB82iGhcvsZYI5IjuV4L03TCK2gujtDofSUOWxMsDkdeT6TQhxhBXb1eW5OpTwRtp8SJyIA0/WxbrTIi0fYG7oVxyHVNTth2UGqdNHbk1quqNXhJus6ImJ7vG5qq29ZUyymrUWhVVkapfj3ZKQCU4b4JOm1ctv6a2hiY7nuiQYu3OGsDBWRYmm53BbQrdCAflo6HlRtz9MXBjuTci/7W2uqdQ7oY21le16wSJ2VeG1pFdol+O9kVDCr98HTduaFO9ZHDLRXl+vUUR2ruQZ48K08PvZmru4e7hzowVV9aXrnPLmmItMaVhIoGV1k9KXdm8HediUDHw18T61Tl4vjHkRpX/v0v9t7Q6STX1Kgdm7LaVprvm6zvbKlTfCd+JSEGSAWTz3pXARWOfdq7bDYQBszjBgJZ4ddG2xtmKMSF5oZWx2gJ3EBsgkrSIQ3zkeN8emTtfIZt0UHB1OTmfkJcM499AjNCI9yOWV4tTkfRUluvWUtT1QPSGp6rl/ObFCjIjXV6bXOBvvdalr49N1t3z8vRt+dk6cZxzgxFk3MEdsLINF0zv1hTTb1vaQw+0Dfg4O4sgu5j03WV+3B2D9avSNAnF5dpQYdsyUOIpnrNfSdbnx7UVta6DUnRF5eWa22Mpo/6kgo9O889G8pv7wR1fzVLv4qrV2F7laDZPTNn1p7p6uaJozP0q+Tmtmf5HuMwkJyUk+wKyzj3QF9J1VfNhcRpJknxBfrO7AzdPC1TX3mrTMsj7SFlWSX6DQsaU+lHOJLbuIvkWmsr9KgzZ98f+NCl6eKxznxw+x+cnKtn8g7is1FQrAciLiT/cWbFwaLTSc4Rz/LV6To3cFrN0B/TGlQQOXSw8EkDomNLGOA/Iw3QxFg/glEPzLaLFta9e/fAx82mZmLqJhyGie8TDelZmxqg/Yy1TyFC1lpgQgDM2NNOO02nnHJK0I4HgeJyghlrU5VDeKRD3izP/DeND9ixDsOVwx3vZusiPh4DMvRoeuS5traorKZRyWUNSixvUFJ5o5IKqzVhaZrODtqmEnTKzEINznRaTTDxQotSMov14wkunV7xOmVsth7eXhX4xl00BJJzJuH4fPXcn27vTkerklOL9IPxLo+UtQFJ+tDUPP0noVpvF9RqVW6tVjhZ7mR7eY3GrcrWZwZSJuN0nNP2Pr+oRK9m1uodF3dlJN7SnDoV1UXeda07Z1majnspXh+ckKs+pa16L+/WcFhIrrmoTI/Nwhk4SVe9Waa3KBPNjdq+MdN9JZwW9qKTodl6KoNH4szVLQydcQ/XvYjj3RfhJ85c3Uk7jZX6+4xUneqOHecqfNBJMSBFX1lRoeSD4LhO8ZPz0Nkk11zboEmLI+1Br+ZpqNMeOqsAmfYTTQ50KDCmlAHztJ3dcccdgX/bqaeeGvSYYmYypIsFrTFf0dqiQZpGctaeZ2Cf3lXGozJSginaMXvRCplKiXY9/OqYBoq1GyBatEkfRsoHjhYVund/+4gEHdc3Rd/dVtd+OXJlds3adJ0/uI3kTn29VAsjczKVFlboX7OT1R1TbUiavrmxVpnOOmF0wNX03qI19UvTDzfXKLPtlPcArVq1yVlVQ10eXf67DUzU6aPT9IUZGfr81HRdO8XJ5HRdMzlDP19fqB/PydT5lElXx943JFkXTsjQjdMydB3xnFzj4n5uUp7ezIrUl9JKvTzP1fNeSbr4tRKtcAV0Pz43hwyHheTaeqrSdfLz8frwa4UaG5TTFhU4E/EWGxQ8IFlXvJarXy/P1dcnJevkYMB6gs6elq/R5e6rHSTk0FytZ15L1ZkQB20d7qt5xpQ8PZN7cLZbVyc55uN6cXaiTnKmT3dXuZZ43bxGJFbhfSLxYWS2t+NoSwyAZxFmtCwcdfFxYzQD5GPjVXETYUUspmhCM7PzyQPbjmpTxIP8mIEkLi5OM2fODNaRhUA//vGPByMiGCeL2wnDyTjOjL9oix29RjQ4jzy2kWOLI+cqPTEtSSc7E/SKlVV6x1s82+IGqKvXwuUpOoFOtBccUUwvCtwtmuhomOusixe2ug9zoj610H3II3ZaU3Gxvo1rFOM/n9uuM+YUa0L0ZHWHDa1asSFbn+3v8oliwSD9F929kDcTxrQ+s00fXpCjWxyhnfa8+088RnC84MWzuE+naHhc282WZpe2LUQ+GJebWpUEoe89Dg/JOe1s6aZcfbbPdp00KVdPBaPLnQVWX6sxSzN0CV9GHiQPlAf3gnugfRJ03qQcPR5Xt7vzcEut+s1P0/mMB6XhtH+KbllZqbjY9bbDaMkp1Nfp7OifqceSDr5FH5Ib92ayTmEYD/c1MkfPxByC0Kq66jI9NMoRNvf+3+06e16ppu02NW2rSkrL9ctXE3SiMzG+uK5aO7DfIwPvqay0o9HmBWHw3yqnEQH7EJAd98F/W6yaNUgZWsXsu7SxMRMIpimdCQ899FAwugGzlaFdaG7RGhpb/7r7AvG4vuUNstu2bVvgJMwaDZjGzPwL4V1xxRWBE7GtusUYWUZdcF40Yl3frmXX45kxI3BzQ72Wvt2moZ08p0TzPYdgOydIr6lZyemlemJVYTD+9O/baxTv3kNTWbVGry/Q798q0GPvlGly4a7C2NpUr9e3FOuvy90xJ//3bpVWvockl5FboQFr8vXYSncPb8cQwp30Sa7U6O3leoZ8x4qHEHdFqTYVU65b9W5igW4ftF3vd6b6nzIOskJ2Ig4TyUlFGcX6BVMtjczSz3bsKpS1FQz3KNBP52cHqzbd6uTO13P042XFGphep2DCEh8tNXplXprOhuSc5nPq5Dw9m3XwhltreZX6rsrTj95yBFPYCem5irF2R6H+sDhHP3JfxR+9Xa55Md2/nSbTUKNRq/L1s/nEzdXj22q0YbeG4GZlZhbohsHOpBqaqb9lNKgkqHS7ZtwwoUJCMmyN0KigRnJGRoD/kArtaPR80hvK+FHWJoXcrDMAbY7OADoMmEOOoVfR6XAdwLVMOgLi7SSRCLgnRlFAdkyvhNbI9Oa4ndBeB+ndeuutu/XI0kmBKUte/Ovbvj0TjvvSQrzWJhWm5+uLmJWj8zQgxz234Oy28znX0gvRDlobNGddls7t6ay1OUWa00k+nJ2Bw0ZyciZBMGlm31TdtKp6T1W2pbltPreqJgUfhnZQU1Cin05O1vsxcfum6GtvV2jzwXNS10ZTg9ZvzNSZAxJ08jQcVh2ROXJsbd5FbIhVRsQqtB/GvlV2zD1bp/TZZ58NBsyzPitaGzOLsG8kgpMvHQVGIqRhJBF9XV86As73NTH+W5oIhAqxoj0y7RKOxnR0oNlBwrTh0XGB9rl06dJAw7QhYuTB7tdPl63lvS2bza54lusfM1J09nD3EUmpVanTkl3kIH5H7+WYRmONRi9L12lD0wM3sa5iqoLDR3Jq1Fubc3T5QOaNK9eGAyk3zY2auyJDn6C3ymlxJ03K1ws2zctRjJaaNjeHs0ak6OZ1NUqlN8tVQiMTIwS/ApsbiF9BCYfcaPuaNWuWnnjiiaBhH80INw583HDgtRXmMQdt3QRLl2uwjTaNgZ8X/7rtgTiWVzuPNEnbwgy0FUJgEBmEhqsKZEe+WR0fLQ8t1BazIa6tSWFpI/z3w8gDK4YxJdD6hCI9s6pIE/PqVOQ+IK1R9xdiL6hv0NL4Ev11Q3mXm2PvMJKcVFhUpYErC/TPd6u0JZbltje4glaSX6IfjEvS8UGnQ4puX1Op9Uc/x6mxrkGL3y3UY6tLNKmoQRWNTnV15GCV1bZGGnQEmLsF/9mn7Wrr1q2B+UePKKMNMP1o2Ed7+9rXvha0dTE7L2Yi2tBOEoikC/mwtXTtWCzZHxCf9CA2S5stwr35IC7aHRN0jhkzJnBEhuCYDIBhYwwhs/norGMEsrNhX9F598kOBEtjOOG6ftwQ+waPiWfX1XBYSY6n0BjxzN5fC5Ov6psr03UBfjuMhBibp+czGnf1uh7FoJLZc6v3Kp+RgWk+/PcrLKBzAM0NHzbWR6AtC82HFblod4Pc/vnPfwa9lpivdEBYxSddTFTTqki3o7I/ID55t3uwNLgm/yEcxPIB+A/ZkWeWTsRPD82OaZ7wtcOcveeee9SzZ89As2NsLWQfnbYRn6Xbht3vBQlx5OLwktxBAJKbuzxdHxocr+P6OplUoH7ZR3tjXAw4M9Wv+EZypmVFAyLA7KRtjR5TeiiPP/74QPBDY4pxhmbReM9oBp9EIDhIEiJor6J3BhlwHnnnXriugXC7TwRtzL9H8oo5zegIfOmYPh0/vm7duqlHjx5Bex2LZUPg+PExVMzyaNeMTXIhjiYcMSTX0tKs1LwqzUyq0IT4Ck3LqldqZCbhYwlUTiok22gSsGNUWsiNtUjHjh0bzNuGnxkEh/bGeFFWvmIhGhx5MWNZywFSs7TZ+sSD8B/x43Dc4lieTDoC4nEuadnWyMeI29Lzj3NN4pBn8s58dqyq/6c//SnQVjHBESbytHUoIDu0Wp6N5dfSZN/yYGEGu36IIxNHjibnxFlrIRysclpFNdCOlpSUFMzWS4WncZ6OBGYFocLj90Z7Fb2UrGlKhcc8NeIykK6RiFV4tsSLJh0Ls/PZRqe3N1g6Bv5zPteOvj5bS9/IlX3OgRAhO6ZumjRpUkBqLEYNsdM5wRTt+NxhmtsKY8TnPIOlbWkCtnbdEEcmjhiSC9EGq4hUeiMIzDAa2N98883AWZfZeVlrgaFXuFkwYgFTlWPMHMLklr47COn4lZo0jWT8OFbZ/bjR4WwhH7YdhaUDLC0TwskPafpEx74J/+1cSIseZNxO0FLxsYPsWEOCZwHpQXaYscxnx9hYv70OROfHnkGIIxMhyR1ixKo4/n5H4Me1Ck9lRnPDVQIfMmb1YEQC/m22ZilOvUx5RJsbM4cwhRHk5sPy4gsVem9CHB/kySfeWHH2Bf+67Jvw39K340Zsfhw/DbbE4fnYbMVoryyMTe8rnRJotyycjaMzs6ZAduYLyLkG0ov1MfBh4XasvXgh3huEJHcIQcWIVSGpNL524FcIi+OLnUtaEBwmJqMUMDlx5KXyUmkZW4pZyigFVszCHYSZPtBUfLPMh6Udve/Dwn0xsO/n9UARnX4ssXj2TKJhx3hO/nE0UibkhOzobWX0BJodbicQHh8GNN2+ffsGfniMnuAcS8+EdH2yBX549LsO0TUQktwhBAU9uuDHqhR+xWGfCmbmmYFz0UwgN3zdGNdJAzvtTaydwCiF2267LfB1Gz9+fDCIHWKz67GNVfEsX0cT/Occ/QzxF0RrGzJkSKDF4XYC2eF6gjP0d7/73WD9CXM74V0Y7P3Y+7JnxzVihSN+Pti34yEOH0KSOwzwCzsVwS/w7ENoFk6lQvhv59LGBGnRO4iv28033xy0tzGfG868TIHEFOM2HZHNCkI67Fv6VsFiydEE7se/V3vWdp/sY5bSbodDMVM8MQEB/oNMI4Wpj7M0WjJtmLR3xjLzY71Pu44d59mbEDf6PYQ49AhJ7hDCCjKF2go82pWvqflxDPwnHloHrhFDhw4NPPvpQKAC2pRHDMliOnE8+1lrATPWr0z+vlVEu160HC3gXux5273xHOzDYc+A4zxj5rPDoRjtmHUo6JRAo0M7xpRlyifcUqZMmaIdO3YE8UkPkBYfEfPf478v0e/AF44fTc+9KyMkuUMICrORmhV8KpcRDuKD/2gMdBCwijxjNH/6058Gs+bSM0ilozOBQep0NNj6CVQ8KhrXMaFy2XXsmr7Y9Y+2isb92D3bPUYTDM+G94Kwz7PzZz2B7PCto92ONk7cT2gKYIWxgQMHBhMW4ITsE6ddEyEPlo9YYnkLSe7wICS5QwgKc/SX3CoBsMpAOFoY5hMmJ43jNITjsY/mBrnh70ZnAo3juIrQNofrCJWF86mwRnSxrsN/X6zCWZyjCdyT3V8s4fnYx8CeFVsb40vTAO4njKLAr5D3ANHRucN7QKumTY+RFnyQOM9/piZ+PvznTrhJiEOPkOQOMSjIRkJUKgq6FX60NhxSISxMzhdeeCGoVDjtYjJRsWh/w6mX+dzQ7uglZKgV6Vj6po1Y+qTNNa0S2fWsolkcq3BHI+yeffHv354B8di3jxFhbK2T5/XXXw/m2TPfQ0aLoN3RdEDHBZodnRTWXMC59uz9506Yf40Qhw8hyR1CWCGHfMw04j/7TDGOdz6Dy/Hhon0N8wjNDdMUjYFB58yAy1TkkCEaQ6wKYhWJoW9BpXUViWtaXMuHL1YJj0bY/e4kssg+BMNzsfdgYJ8whHgG/vNBQVtjFEn//v0DsuMjRMcPPdrs458IEeJ+wkeIjiLeVTTZ2TWCPB3Fz7+rISS5QwgqjFUcCjZbNAQasJkVBK973EBwYWClKtZRYFaQv/zlL8HQI8xXM0kBafnaYHQFYhJNV2WptXvEiZajFdybPWtIxoXsFMIJM/IxWHw+DhzjWfIhQvjPcTRlGyPLSAna5+iRpXebFcuYk+/ee+8N3E8gO9r3MH1Jw65FOoi9Az8PIQ4dQpI7TEAjYA40KgiTUmLu0NZGBTn//PMDlwWGIOHgi+lDfL8isIXgjOSswrRVGqcd1tYrrbBaG4tZ5d+dF5wF2IslRzFY+8I9o/qGeiUX1mh9cYNKg4HPjuggMyd7Egwfh10fI4jOhP8GjjPAnw/Q9OnTg1XM+FCZSw9z2jEbCuG2RCPv0oe91z3zEOJQICS5CChwbYSxq+BFF0SL4+9Hn+ODY3zNMTdpqGbmWkxSpgOC3FhYGVPHnE+tEduAFoEmYJXSv57tB2sUuAqamlWmR2Zn6fsryrWy0R2HyFxlb3Zxmpw0u3i7S1Ctjxq62+2euCl373W1VRq0JEt3zCnQiIJG1bi75YPAc2tDi3KL6/RWZrVWFNSrqJ0ZIOx5R79n3hVTOOG/yHq0LLID2dl8dvgvmnM2EwJAjj7sHfJ+YxFvrOvaORZuYmEh9kRIchFQUChofkGxAmSwOAgE1F7hpAGaMaWsfMUCyYwfhdDQ2GhzQ4ujbYeeUnrocEfwycxg1zcx7LZPQFO9Zq/O0KkvJ+qieWV61x1vbKzT9A1F+tuKAv357UL9ZdXu8ueVhfrXxnK9UdHaJRYAPiC0NmpVUqme5B4j9/Tku5VaGlnOsbm+Vr1eS9KJvZN028Yaxe9SyFRXU6d5mwv0/elpumRMii6fmq2fr6vQ8kpn+kfi+PBJhOfvv3/eN00QNsyOhbFpq6P5gXY73jfrZaDFY+7SHsv7NpCGmcXss7V3bsfsuH9di+eH+2UjRBtCkovACosVLvb9/xZGQaKABm1gLszAMdrPMGNYPwHTk8J+zTXX7OwpxdfqkUce0YgRIwJys55SP50DQX1xhf4zK0HdBqXptnV1rpK2qraqVPey5uszkSUekeedvLQjWB8jWDd0ZIYez3ambiSdQw20zqaWNo2rM6piY2mpfjstqe2+ern7cfd04vhs/acgkrozP5etStfHBsXprLllmlseCXcm/5INOfrssESdOSFL35qfrTumpKjH4BTd/HaVNkTNU8j74X1DJNH/7d1RJtDa0ezs44aPI8PGmDCBMkAbHh83OjBot2PYGG20NEFYOpQvS9svb7QJxiK4WBJid4QkF4EVEAoPhYyCZwXNjlmB4xjhCPu2rB9mC46kNECz7gCFG98qvObpKR01alQwAy+zXWDqWIG09A8MrdqRWKg7h27XcWMy9esk1BVXCZ2p9uScDF03Lk1XTkrXZ518bkq6Lh2TrB4DWAgoXt3HZupvOYeL5JqVlFepYRvKNC6jXlkHXRebtX5jtj4/PE7v65+gEwclBvf0wSm5er4wkrgzTXPjc3XNSHe/I3PVM7MxMGfr8sv16JREnTIhVy/mt2lndaUVemxGsk4e487PatpNm+PdRJMcZcFIx94d5YH/uAahyTMhAIRmo1UwYXE/gfhw6GbqK7Q/OilsIk/SIF3KlV2Trb9vZfPAy8yxhZDkPFjhtYJkBcsKH2JhkB29bZs2bQqG/DAZI50HNkElU/rwn7aacePG7XQD4TwrnGytULM9ILTWa+aaLJ3vNLQzJuepZ1Ek3GkxmSX12lxQp42FddpUWK+40moNfTtblw5wmpwjhNOc1vNMgSPqyCmHFg2a+namzn0xXp96s1SLD/B2d6IOEk9Vj17x+uiEVF0+Idlpc/E6K0JykSeshoJi3T3OEWCvVD3wbo1yXWhxRrHuG52oS5xpvz6IB5r1+rJ0XTA0Q79NrldpJBRYuUB8YuE/784vI7YFfMhs9ApD8xgjSycFLkL0qPMhRNt/+umnA7JjeBmjVygjlDMra345ZJ+yaXmJJSF2R0hyEVA4KJyIFRYrxD4BUciYioe2FRqUmVocJ1FcCXADwVmUSRrR6HADYaZeTNLoQmnXsoLrX2O/4Mydnm+kqtuLCfrE7EJN25taVlejIUvSdQrmau9EfWRGkWbXOT6MHIYUquublFvVqMyqJmXWNKusaVelaW1qVn61C3fH06ubVem1ce0bnUlyrcpJyNMtY5yJ3jtdD7yZox/Odc+gpzNLdyM5d2+1FXp4SrKOfylel75VrqVORWsqLNMfJiXqg5Py1LeoWSX1zSouq9K/ZibrtDE5ejarcTft1t5XLGKxMmJiH0dg5xCGpsZMzMxa/Ic//CGYDgvNDrLD/YQxs3wQGVZmZGfpWBr+9S1tXwjjWIjdEZJcBBQQClU0qQEKDsdw8sS04KvMgsbMQwa5nXTSSUFhvfvuu4MxpbTJ0N6C2eIXOgqiXcMK5cEWzKrsEv12iqvsPZP1uTdKtToSHgsVLu7vpmHWOZIbnKrrl1cpd7dLN2nx+hzdPj5Z549M1gVTc/XnhEh1b2rUqs25+vL4VF0wKkVXLijRzJL9YbkGTVuVqQt6JuiKhaVacjAk11SnYW+6fPTboW4TCvTS+iI9Od9pci/F7TRXd95WU42edxrfGb136MSZRRpZ7MJa6jXvnSxdPDRJH56SrQcX5+p7M1J1/rBkXbOsUqt29/jYDbwr3h1bE/892j7Cu0abg6DsXNpt+fDNnj07mKL9rrvuCjqjWD2N6Z74YDLTDO4nkCJtdqTlg3SMUI1UQ5JrHyHJRUABsYJioMDQ4IvJgYtHr169gp5Ses4gNXyizA2E2WUZuE1ngjnwIj5x2jUIwyRBOHYwBXN7XIG+OWK7uvVL1c3LK5USCd8TzXp7c55uHNLW8XDimEz9IsGRbeRoG1qVFZ+v20fHt3VQ9EnVV9+uVpbT9ZLTCnXXaEemzszthkkXV6cMT8vbNxo03SO5pQd8y07bzCvWPc4EPe7leF3uSGl+SrmenZMUm+RaGjRmUZo+3N/dz+hcPZnaph3V19Rq9sY83TYxRReOSNaHx2fontXlWlLh3tle8sa78sXeqRGfvWfb5/2amDaGUEaYwonhfCwoRNMGbbi4F0F6jHihR5ZytXbt2p2jKEjT8mFlia1/3RC7IyS5CCgcfgFBC8Mpd/78+cGYUptNFmKjTYUxpQyYx/8NcmM5PwqxpUGhhsSsYFv6CP85bgRo4fuPZi1ymte1AxzJDUrT11ZXqzByZA801GiAM1VP7017XIIunJavIRWRYz5qKvXv11N1MmvbvpKkK+cXqV9ahf7kNMATWNR7UKq+ub5acX7LfIfQqFmrM3WhI7nPLCrV8kjo/qLFaZSL6DGl57h/hn6TVK/MwnL9fabTUHvu6njY+TRbmzVreYYuHuxIbkCmfrW1dmd7W0tjk1JK6rQur07vFDcooz72O4A8TGvi3Rl4ZxzzScYX3i1be+dGSPau2afTih55Jl1g9X/GLlPOMGUhPXpkbdbiBQsWBB0alCsDadj1Q8RGSHIeKHy0nbBEHz2lNAjTMEyhg9hoO6Gn9NFHHw3cQGhQ9qfKtjQQCjThPom1J1YR9h8NmrE6S5f1cSQ3JF13ratRe5ZWrdN+/hdTFfLqn6LrFrn7jHnJJs1bm60rB7l4fRJ0xugUXT45TWf2df8HJOnTi8u1rLr9vEIccVkVGratTAO3lmmw2yLDtrvrv5amMxzBfmhajh7bWq4hkWPIQLbJtUre6zKTraopK9dvJyXqxD479IFpRRpf6p5fcZn+yL3FIjmnhS5claFPDUWDTdP3NlbvRduNDd5PtOYdSyAbjiPsUwb8d+tvjZzsHDQ71qOA7BgHy6QMmK4QHWWP6bYgQBzHWdMDkxdT1sB1DrwcHd3oUiTHC4r1ovjvy97QXjwLs8JgIIzCy3xiNnkiU4vTEMyanRQwOhPwZqetZOLEicHwLHyifPMB+OkjVojby4vtx4rTMdCYn6WLX3EkNzRd31pf0447SIs2bM7RzcMdUdEeNzJTD2xxWmbkaDTKMor0C0ck3fo407S/E0co3fon6sKZRXq12N1bJF4sNFbVauziVJ03LEmnDU3S6W6LnDE8Sd0HOxOzf4KOd9tTCYscO31oYhD3jBlFmr63dj5HBtu3Z+tTQ8hTkm7bVKNMwovK9Mg0Z0q/FK+zp+Wpd1kQO4IWrVibqSuHufvumapvv1OlHZEjHYW9I3tPCO83+p1x3D5u7Fuc9uL5cdiH7Oik4sOJHyWmKjOdQHaXXnppQHjXXXedfvCDHwTTQGHqQnZ8mP0PrSHWtS3Ml+h7sfCjBV2K5HjY0So9sBdh4sNeiIm9MP+/FSaE9O0LC7nh1sEK85AXM8DSEIzGxvAc3EFYhBnSY5wiXu2YF5wbC/51Y/03dCROx9Co2WuydXlEk/vG2hrFskDVVKuBi9J1DubmK/E6fWqe/pu3l+tVVuiZuSlB3G741Dmy6z4mS79LYWjU3tFUU6e5ThP82oxM3TTdCVsnt8zK0BVjkvWBfgnqPjJVV7mwr8zM1M3B8Qx9mf9LyrS4fC8UWu9M1ZVpOnuQy1O/FN22tEi94so1cGWOvkJPq8vvKaPTdd/6Sr1R6kgjOKlFS9dk6oqh7t5fTtU966uUEIQfONp7Z/y3cuYfi47nxzGJLlOQFiMjmNuOmWgefvjhYJgYTsWMpOADzHoUTzzxROB8buOdjWBBdPr+1vYhVqsPdo7FOVrQ5UjOVH3/IbNPmJGVwcJ5sQjn2guyYxAZnQfs2znEQxOjQZeeUr6W9JQynhRhanHMVL6WtMkx+y5am52PdA20aPnGXH1xkCO5gWm6dVWV8iJHfDQWluiX05LbtLjeSboaF45229SaFZdUqHvGO02uN2TixG17jMvWE/nuIxGJ1R6Y1qiksl7vFtVrk5PNEdlWUqVXFmfo3F4JuuT1Qo0odHGK67Ulcpy4W8qa5H7to6FR85en6kz8/Ho7jXBQgt7vtMIT3faEgY7kAkKO0wmjHNFta4iY7s2atzJDl9Im1y9dD21p85U7ksCwMcgOKwNrAqsCrY41KWi7u/POO4MPMcdxSqeTgjIOqA+QGHWAumBKhEl0fWMbTXJdp7wfGLqkuRoNwuylsI9AarwwXhJbIzl7YZaWvVTAPuNE8XGzqcVpb6OwMKc/Ghw+bnQ04AZCZ4KdS1qkT0Gxa3QFpCYW6t4xrgL3TdGNSytiaCmt2v5ujr48CrJy5DA4w2k6NcKTYk+0qjCvVL+emqwTHCG+f1Ciug915IEGOCxVN6+tVf5erMm9w2mdOzseyrQiErpfcCS3bF2mrhqbrHNHOBnZJmcMcUQ3wOXTmcLvc6TcY1ymfhpnWmejJi1J08cGuGc0PEePJ7iPXhB+5IEyzgcXx2E0OHpkcTznw0wZZiQFfps2ByFNMFZ+KbumDFjdoUxbXTFYvfG3/vEjEV2O5GI9UB42LwthH0GzgnDsRXCMF4lEg7i4duAGQqMubRqXXXaZTj/99GDQPD1YDL2hcJgbCGmTLulTKOx6Vmi6ChryS/XYDBrdk3TlghiuGS31GrIwXR/qh/YTpxMn5uqf6bHvob6yWv+dl6pzejtCGJquu+bn6EeznQbYF40uSefNKtaiGvdMIvH3D53gJ9fcoqzcSo3cVqbeW8rU7106LNz9z8/QJfS2OrP6FKfFfXddheYWuzLDOa116jM3VWe7ezpucoH6ZXet99cRWDm0LVoZvaz0tvJB5sNMmx3O6GeddVYwXpoxsvT880HHsdivF+z7JGdbA/8Rq29HOroUycWCvQQT/iP2Auy4EZy9LPZpo6Bhli8fvkh0JlAYWKsUdZ8hNgyYZ1m69evXByYsriOQGiAt0rGvn5+HLoPaKvVfnKbjX4jXRbMKNT6q0ayltEz/4zSz4zBVX0nQJ+cXa2pklo7d0FCvqSsy28jilURdvqhcSwpr9YbTnE6H5JzJevKoLP0tp1mVB3T7negMvBtatPrdXH0Z/7/IsK4Xi3ZlsLW+Un+ZnqKTeu7QhW+WadauDskjAlbWzVpBrExixpoPJ5YJPbL0wuJnR5sy7XZ80HFNIY5NCEF6Vob99EnXyjgSktwhAA8c8R80YuGIxeMF2EuxY4Tx8vly0ZnAsCrGlFpPKS+f2UDoTCCcFeb50tGbFT06AfCf9EnXroc2xzY67nuHRi3YkKNPvLxDPSbl6tn8SHCAFsU7U/WqoGfRkUDvVN25pkqJkaOGJvfMVmzK1pVB43ycTp5SoN6OzGjP2hyfrxv6E+7OH5Cka1bVKOmABrs2aPLKDJ35fLwueaNEizqR5FZuztHn8RV8MU7dJ+bo2UJ7N61qLC7RgxOSXP6Tdcc7VdpyBNZZvwwiPiHxn95VCIzJH4YPHx50UvAB54NOmx2aHdoey1eyZgUfflxWONfKOGmiISK+lmdyJKNLtsn5L9Qeth23OJCZvQwEkuKrxovG7GRm1nvuuScYkUCPFG1vLDPH+EDWVWASQzQ3M0vtGoB9uz6FCbH9rkdyUlpqse4f6Sr56LZRDFaPW5sbNWVZhj49PEE9BjkZn6t/JDuNNHI8QGuLCnKK9dDkZJ02MFGnjs7So/F1stmK8vPK9fi0JPUYnKgeQ1N00VxnElcdCFM0aNbaLH2yb5K+sKRMyzqR5FZvzdPtI+PVo3+iPjojT712anKtKknO0xdHJajbkGz9I6Vhn73DXQ2UM8obZd3KnJVFyr0P6gQf7LffflvDhg0L/DnxFsAFinntcD/BqZ057xhWRh0gPk0xpM/5fr06WtDlSM7IxYSHTTjCPi/XXgRb8yuip5RJCZnpgXnbrrjiiqBR1vyKWGEezQ5fONxAOJf0LV3Erudfx8TimnQlNJdV6MXXnbYyKE1fXVurnRaZy2dpdaOSyhoUX+qkoknFMcYsNTY0KcUd30Gc8qbIVOFtaGluUXGVC4+kkVDZrAPiOEc4lbVNSi5pUFpNc6eSTW19kzIi+UuqbNJOV7vmJq1em6GLh8TpxBnFmlx85FVcyhplnY+rlVHKppXVaBAOadFphjXDhACsGcKU7HSsUSewapgOzGbIgexsoSQr56Td1cr5gaJLanK+2INmn5eLOg2xIbm5uYHmBrmhouM0SVsEg+ZR0XEDYQ1TekoZJ4iHuKVnBQcCs0LDvn3FYomd2+VefjDgPFNn907SZQvKjkiT7FCgqaFeQ+el6Ayn4d2wrlpb9uae0oVB2aN8IpRZMymNkEz4T7iVT8o17Xa4leBLh5uJuZ/Q4YaFQw8tTTcoAObkTvqkdbTggEnOf7gdgR/fztlXmA/+G8mhidELyuyrDHVBa6NXiW50vlJMSEjPEt3o0VNNA14gaSFGXgjhfoHyiQ1YHKRroVWp2aX6zfQM3eVMwaUNhIRoqKtRv4VZunFmvvrlNrU75K2rg3JoYuXPhDIMsdnWND6DlV/qDT2yCxcuDGbKYcYctDrqDS4oWDx4GDBcEQ2QOhYNS8vf2r7BwvZX2ju3M3BQJBdNAjxo2sZ40NEZtJfkZ56tvSz/xcQCaTK1NG0JrFPKS8INBK2NrxK9SgyYZ/Zd1jPFRyhWmn4+omF547jlyY9n+Y2V7nuNxkZnChbUam1RY+DLtufdHXtoceZqYkGd3i5oDFYwO1IRq8z65TRaLJ4d90EdxZRdvnx5oCQ8+OCDgWZ35plnBkoCbdgoDvTIYgFhxkaDdEnHv5bB8or49YV9y7N/nC1xSM+PZ9IZOCiSs8z5XxLMSL4a0Rn045vw38S/cR98UfwxpQxtwSTFx42eI/7jAGkrIuHtbQ/O8sX/WIiVx1hhhuhjIUIcTnRmWaRO4BhPJ8XAgQN3LpPJkDGUBkb9MGzsueeeCyYNsB5Zg19f/bpm4h9D2Ef88+w/x40PYsU7WBy0uUo7ljnKWkZjZRoh04QTFyLkXMItPQPHaRuAtOgpxZeN2T8wSyE23EDoOaUtgYZTNDdemHUQcA0eun/9ECFC7A7qh3VS0HE3evToYAlFf/w2PbNYTcx0jRVF+56tR2GgrpGOtWn7x6jzvrJhPOATGFurt1Zf+Y9YnIPBQXU8+JnjRhAjMkgMsuI/cewY+zwMjrFv4DimLuoxD5w2NSYNpKeUB00j6fXXXx+o1/SUzp07N9Dw6HzgAdvD8B8Q1wsRIsTuiCYO6gl1z3pk8R+lRxayQ7FgJh7MWFMs6KRgOjLau6l71HerbyZcA2Gfuo5Qx/36iVgc9o3kgH/8YHFQmpzdnO37mhQ3xX9ugP8W1wjObpjj9HoyJo9l2iA35sCnpxStDXK78cYbg84EGkwhN6aFttl3ScPSsesg9uDYhggRIjb8ekM9ol5CXpCdLdAEueGtQH2E9OiRxQ8VzQ/vBly4UGqsPlqaVgdJEyGM/1Yv7RicYPEN7COkd7A4YJIjA37mbZ9wMs2XgXAjNbtBuynEyI1JAGnoZIV5OhD4ciCMKWWoCvNqQYC4gdDmxzVIzx4M4j9MxI4T3hkPKkSIownUGSMkq5NsLZx6gyKBeYqZymiJ++67LzBjL7jggsCUpQ0P1y1GWTD/nZEd5yKk5ddDxMjQ8sB/tEGubfkhL8TtLByUJmcZ8ntU2TLEBG2LTgCOGeHZOTw8CIsGTRo27eHR4MnaCZilNITypWDJPzof/JsmLR6Mqcqk64s9WITzCAsRIkQb/DpCfUQIM7Ij3K8zhFGnWUcWv1OajGhCYkIACA/FhCnaGWVBUxNNSJAXoP6ZVYeCwprDLPKE/x7Xs2OWF7bEI6yz6u1BkxyZRAAZZL76sWPHBj02zIFFGOBm0dyY3A+Tk3Y1vLD5IrBKEYPmWbyD+bJoE6DTgQdh5xvsuu2JHWdrEiJEiF2gTlCvIBKIhn2rNwh1lTBfsSCcek4HH3UTfzrzUUU5wZULRQUHfKZox/2EzkMjK9LDDMYi4zjeELQBmgbHtRC7PtJZdfegOh6APQhuAoKjTY32M3zWsNc5jibHrLqMGcWWx+3DvK7xdcPmZ3k2GjRZ8g8fNyNOe0CIkZc9BPtvQhweKud25kMKEeJog1+PrK6wtbrGPvXLtDurS4RhQUFYeDUw2ogOQtrQcS7GBQUtDwWGmX+YAchmLaZXlnVRcE2BAxiFQUej5YHrWJ1ma/k6WBw0yQEyhPmJ9sYgeKYNxwSlrQ31FdbHDYQbY2YETFL8cO6///7A1udBGLn5D9Ru1h46/xH27WUg9jViay+lsx5QiBBHG6xe+fXD6hlC3bH/KAymbfl1j+MIJMVMPrhy/e1vfwvqP4oLSytSx/mPfysKDPFoooIAGWVBGzzhmK9cw9Jma3noDOxBcnYz/gPw4R9jC0PjykHnADdEhwF2OlO9wOQMmKeNjWmOOMbwkQceeCBoi2PaFxo2aXOzB+mD//Yw/WP8twdipMbWHj5xo9MKESJEG6xeRdcpP4wtdQrxw9uLx/RmjH2lR5aB//jWsT4x3hEoPUzRzhoqNFOxnGePHj2CcGbnxnRFSaL+ItRntqRtEo29HYtGTJLzmdQSsQQtjC0Ex43h2oE/G+oqBIemhspK7yiOuxDctddeG9jwvXr10uLFi4Pl1/w5rdpDe8f8/JjsLZ0QIULsQnRdiVV32qtThMUKh5wgOxQXrDOmdGIeO1vSE06gk8KGY7KGMWF0ZDBxLRodmqORXHS9tuuadLTexzRXIR67kJGdkZElTicCHQv9+vULCI72NTLNvFVsUVexzyE6tDnGlNLNTO8KafvoaGZDhAjRNWHcYEABwj2MHlncw2inx9cOnmBSALgBrqDDEdJjOjTa9xg+Zm4oPv8g9t+uxX8jw70hJslZAnYhLmpaF0A9RYNjNaubbropIDQE1ZQ2N3pM+c8+pikrXlmXMuB80iPMyM1uxH9QIUKEODJgdRi+oH4bVwD851jS85e//GXQ4QjJYe1BcnAFWh3WHtNAoTQxEQcanaWFoBgh0STHsf0mOcuoERyJ0JsCKQEuju8aBIeWduqppwYuIGQYdkaLI9PMaABLY5cza4iNL+V8elvpaSFdy7Bdj/0QIUIcmaAOo7xYhwV1fs2aNcECUixDAD9Acmh0cIRxBavlWVs+RIcWaDzkc5GF+Zyx3yTHiWTQhESMiPBboz2NQbzY2UzPQobR4GBoMkwYmSWM9jgEhoYU6Wm1iSst85ZRk5DkQoQ4cmFcgVDXmfeRus9QMMxSFB+UIbP2TBlCs+M/fMJICtruGR+LcmXpQWYQnWlv/rX2hr12PEA6bAEXw75m4C4+MTQkomIySSWZuuWWW4KuYXze6DHBZYSelKeeeirwkqYh0l/qj4zC+GhzaHaW8RAhQhx5oE5HEw91nU4IelzhAdacQBgdgYsZmh0DABibzuLuKE6QHdoePbB4YLCKHt4XpgCZMmRcQRgcxbY9xCQ5ExJCSJShGvi0MCKBIVdk9umnnw5USxyAaTScOXNmsBYk2h6dDHRM4ASM0OFgw7sQY2SztS3je8tsiBAhui6MK6jPVr8hKExPmrjwk0MY9YAPLYoP/nWDBw8OJvBE48NKxH/uoYceCpSkefPmBe4lKEN2DeMJux5kaspYLMQkOUvITwTbmgzi2waRMbU4nsyQHw6BHEczIz4ZQoxhTSu0NPnvH0PsWEhyIUIcefDruSkvvhLDvh0zgSMgQTiEqdnR+iDDZcuWBQTI8E+auFiFD27xucn2SZP02W8PMTsejHRIAIIjEdvHbKV72MKNrPYGewCWLv8tk3bze8tkiBAhujaMLxCr52x9noiGzxvGB8QzAqQPADEvDI5Z+j6H+OnEQofM1fYS4mJGgPYfsQyRWcuQhfvpWTz7HyJEiCMTVp+p86ZZWb33icmwv3WfeD6BWtrIvrAHybUHEo3ODP+5IGL/ffFvIPqYhYUIEeLoAXU+mtDaQzQfgOj/hv2JG40Ok1yIECFCHIkISS5EiBBHNUKSCxEixFGNkORChAhxVCMkuRAhQhzVCEkuRIgQRzVCkgsRIsRRDOn/A6Q4mEDT6j26AAAAAElFTkSuQmCC)
Vertical angles are formed when two lines meet each other at a point. 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 measure of each angle in the diagram.
![](data:image/png;base64,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)
Vertical angles are formed when two lines meet each other at a point. 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.
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.
![m angle 3 plus m angle 4 equals 180 degree](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJoAAAAOCAYAAADXCAVCAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAulJREFUeNrtWVGEVFEYHmtkjcTqYa2sWOmhhxU9rGRlXlbWyhqSnpJYSdJbkvQUPSTZh1hZayWx1jxl9bLGPvQwJOlhZUkPSeZlJCvXiOn7+S7H7947/525d8+t3Y+Puf+cOff853z/Of9/plTyh5nS/sF+8lVwE9wFf/GzNzwHXzvPVXAD/A0G4A74DDz6H0y69lVjDuzmPIaT4APwY0KbCrhIgcgavAWPRbQ7Qp+a5BJtLkRg4+AEP3uBDKwNTjm2BlgDDzm203T2X0aUry4Og9t7ILSX4EKP9yyDj8Ay1+ExhaSxCV5UgbKp2ohYT4DHfQlttcfElyIiw4puwURm8VWEeH0Px570nkA9D4EdZbvEXU9DTp8rzrOI+ifXb0E3fgjeBUfZWQv8Ac7y+xHwKSdPOrjXR1SlEZlsu59zEloRfD3n7ARFENoud1hXaN9Um/WYfLPK70xY4wK8pzrL3Pq+gmPgFniZ9nFGwKix7/UUIpM+rzFPm81JaL59laPpE99pGXvXwEHnSALutvN8Fnyi2rRVeuP607JO/g4jbETZv4MvYuxjPfqUqKgbRaYn7k6G0Vo0XyX/ueXh2E96zySPyg4DTXb4adXmT8LvO5YBDLHiq6S0J6GcYuJdyCLPMxE9n0OU+/ZVFvSdp/wy7j2ys75iMIU71hnwC8drEVpgGcAUK79B7e7Ev+lDZLoia+awo/n2tcmKLM3Y8z4660pQbu7l+t6KOTqHrUen5CkrGdjD83pjQJGlipKUQvPtaxaCyXpHC4xrIPnnhYg2M9ZiYDGqDO3DPsy7ryxENslcKmuhFdFX30fndsQuKzjFXC1EjTmsxoq63ohFPabCS2OvMMHuZ+K3eEdTZk5UZQV4NYfF8u1rEYVWo9iqnP9wDSRHu6HaNliohRe797l+JrQZoYPYG8ZcIqT7t8w085yAlL7mcpps3776EJrliJZA/8DqMaB45mOKtWW2kSJpSd2/HeAA/vAXgfQt7CV8x0gAAAC4dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPm08L21pPjxtbz4mI3gyMjIwOzwvbW8+PG1uPjM8L21uPjxtbz4rPC9tbz48bWk+bTwvbWk+PG1vPiYjeDIyMjA7PC9tbz48bW4+NDwvbW4+PG1vPj08L21vPjxtbj4xODA8L21uPjxtbz4mI3hCMDs8L21vPjwvbWF0aD6PrgIkAAAAAElFTkSuQmCC)
Two angles are said to be supplementary is the sum of their measures 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.
![m angle 3 plus m angle 4 equals 180 degree](data:image/png;base64,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)
Two angles are said to be supplementary is the sum of their measures 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 2 approximately equal to angle 4](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 2 approximately equal to angle 4](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 3 approximately equal to angle 2](data:image/png;base64,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)
The sum of the angles of a linear pair 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 3 approximately equal to angle 2](data:image/png;base64,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)
The sum of the angles of a linear pair 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 4](data:image/png;base64,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)
The sum of the angles of linear pair 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 4](data:image/png;base64,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)
The sum of the angles of linear pair 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 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 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,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)
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,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)
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,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)
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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)
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°.