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x = 17

Step-by-step explanation:

If we look at the bottom half of this:

We can see that one of the angles is 73°, the other one is x°, and the other one is 90° (this is because it's formed by the same intersecting lines, so it also has to be 90°.)

These angles are all supplementary, meaning their angle measures add up to 180°, so:

So we know that FGD is 17°.

However, this is asking for the measure of CGE.

We can see that FGD and CGE are formed by the same intersecting lines, meaning their angle measures will be the same.

So CGE is 17°.

Hope this helped!

  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).

answer: the value of x is 7cm

step-by-step explanation: