Mahmoud is doing some plumbing repairs. He runs a pipe through a rectangular wall making a 70 angle. Afterward, he puts the pipe through another wall which is parallel to the first. Mahmoud can therefore assure the homeowner that the pipe forms a _ angle
with the second piece of wall.

The correct option is;

(D) 70°

Step-by-step explanation:

By running the pipe through the first wall, to the second wall which is perpendicular to the first, we have;

The angle the pipe makes = 70°

Therefore, due to the spring back effect the formed by the pipe when bent 90° is 70°

Therefore, By running the pipe from the second wall, to the third wall which is parallel to the first, and perpendicular to the second wall, the angle the pipe forms is also a 70° angle

Mahmoud can therefore assure the home owner that the pipe forms a 70° angle with the second piece of the wall.

  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).

step-by-step explanation: