Question

Solve for X . You must show all of your work to receive credit.

Answer 1

Answer:

x = 6

Step-by-step explanation:

∠WVU lies outside the circle and the sides are tangents. The measure of the tangent- tangent angle is

∠WVU = 0.5( major arc - minor arc), that is

5x + 17 = 0.5(37x + 5 - (23x - 5)) = 0.5(37x + 5 - 23x + 5) = 0.5(14x + 10), so

5x + 17 = 7x + 5 ( subtract 7x from both sides )

- 2x + 17 = 5 ( subtract 17 from both sides )

- 2x = - 12 ( divide both sides by - 2 )

x = 6