Dana draws a triangle with one angle that has a measure of 40∘.

Question 1

Part A

What is the measure of the angle’s adjacent exterior angle?

Enter the correct answer in the box.

140°

Step-by-step explanation:

Given:

Dana draws a triangle with one angle that has a measure of 40∘.

Question asked:

What is the measure of the angle’s adjacent exterior angle?

Solution:

As we know:

Sum of the adjacent interior and exterior angles is 180°.

Interior angle = 40°

Adjacent exterior angle = ?

Interior angle + Adjacent exterior angle = 180°

40° + Adjacent exterior angle = 180°

By subtracting both sides by 40°

40° - 40° + Adjacent exterior angle = 180° - 40°

Adjacent exterior angle = 140°

Therefore, the measure of the angle’s adjacent exterior angle will be 140°.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

1.0

step-by-step explanation: