use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relationship

Geometric relationship is supplementary angles. Supplementary angles sum up to 180 degrees.

The value of x is 5.

Thus:

 (angles on a straight line are supplementary)

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x = 5°

Step-by-step explanation:

5x + 21° + 20x + 34° = 180°

25x + 55° = 180°

25x = 180° - 55°

25x = 125°

x = 125°/25

x = 5°

Hope you got it dear

  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).

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