The answer to your question is answer choice D
When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.
In our case we assume a is not smaller than 7, that is we assume a≥7.
a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:
3a+7≥28,
which is a contradiction because 3a+7 is smaller than 28.
So our assumption is wrong, which means the opposite of it is correct.
Answer: assume a≥7
Answer: c is perpendicular to y = -5x - 2
Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)
You can take a look at my notes for further clarification. Hope this helps!
Answer:
C. m Angle M = 113o and m Angle N = 61o
Step-by-step explanation:
It's the only answer that makes all the angles added together equal 360 degrees.
67 + 119 + 113 + 61 = 360