Question

Solve for x. PLEASE HELP ASAP

Answer 1

x = 6

Explanation:

the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is

∠ UVW =
`(1)/(2)` (UW - WU ) , then

5x + 17 =
`(1)/(2)` (37x + 5 - (23x - 5) ) ← multiply both sides by 2

10x + 34 = 37x + 5 - 23x + 5

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