Question
Which of the given statements is true?
- The complement of an acute angle is obtuse.
- The supplement of an acute angle is obtuse.
- An obtuse angle has a complement.
Hint:
An angle that measures more than 90 degrees and less than 180 degrees is known as an obtuse angle.
The correct answer is: The supplement of an acute angle is obtuse.
Solution:
- We have been given three statements in the question from which we have to find which statement is true.
Step 1 of 1:
We have given some statements and we have to find which statement is true.
A. The complement of an acute angle is obtuse.
This is not true, because the sum of complimentary angles are equal to 90o
So, it is not possible that any one of the angle is more than 90o.
B. The supplement of an acute angle is obtuse
This is true,
Because, The sum of supplementary angles are 180o.
If any one angle is less than 90o, then other has to be greater than 90o.
Or if any one of the angle is acute then other has to be obtuse.
C.
An obtuse angle has a complement.
This is not true, because obtuse angle itself is greater than 90o
Hence, Option B is true.
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Use the given scatter plots to answer the questions.
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e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
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Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
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b) Is there an outlier(s) in this data set? If so, approximately how many pets does that person(s) have?
c) Is this association linear or non-linear? Explain why.
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Note:
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Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.
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c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between the amount of time that you spend with your family and your math grade?
If a graph has a positive linear behavior, then the points would be arranged in almost a straight line with an upward trend line. The gradient measure of a line is called its slope.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how much time does that person(s) spend with his or her family daily and what is his or her approximate math grade?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between the amount of time that you spend with your family and your math grade?
If a graph has a positive linear behavior, then the points would be arranged in almost a straight line with an upward trend line. The gradient measure of a line is called its slope.