Question

Solve for x. you must show all of your work to receive credit.

Answer 1

x = 6

Explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 =
`(1)/(2)` (37x + 5 - (23x - 5) )

5x + 17 =
`(1)/(2)` (37x + 5 - 23x + 5)

5x + 17 =
`(1)/(2)` (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6