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
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Answer:
Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:
Answer:
25%
Step-by-step explanation:
The number of people who went to the local swimming pool in the;
first week = 1120
second week ( 105 fewer people) = 1120 - 105 = 1015
third week (135 more people) = 1015 + 135 = 1150
fourth week (310 fewer people|) = 1150 - 310 = 840
The percent decrease in the number of people who went to the pool over these four weeks
= (1120 - 840)/1120 * 100%
= 280/1120 * 100%
= 1/4 * 100%
= 25%
It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%
That will be easy. It could be 12/56+3/56 or, 7/56+8/56 or, 10/56+5/56.
