a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.
b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.
<h3>What are supplementary angles?</h3>
Two angles are called supplementary angles if the sum of their measures has a value of 180º.
The measures of the angles in this problem are given as follows:
Then the sum of the measures of this angles is given as follows:
90 + 70 = 160º.
Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.
A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480
#SPJ1
x = one angle
y = other angle
y = 15+x
complements add to 90 degrees
x+y = 90
substitute for y (15+x)
x + 15+x = 90
combine like terms
2x+ 15 = 90
subtract 15 from each side
2x = 75
divide each side by 2
x = 75/2
x = 37.5
y = x+15
y = 37.5 + 15
y =52.5
The two angles are 37.5 and 52.5
Below are the choices that can be found elsewhere:
A.12 oz of gold and 20 oz of silver
B.10 oz of gold and 10 oz of silver
C.16 oz of gold and 30 oz of silver
<span>D.25 oz of gold and 20 oz of silver
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The answer is <span>A because the points(12,20) are in the blue shaded area.
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
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Answer:
4.
Step-by-step explanation:
Area = 1/2 * base + height
= 1/2 * 2 * 4
= 4 unit^2.
