Question

Solve for x, given the attached image.

Answer 1

x = 8

Explanation:

Central angle = measure of intercepted arc

Central angle = 47°

Arc measure = 7 + 5x

Therefore:

7 + 5x = 47

Subtract 7 form both sides

5x = 47 - 7

5x = 40

Divide both sides by 5

x = 40/5

x = 8