Answer:
UV =2
Explanation:
From the diagram
TV = x+14
TV = TU + UV
x+14 = 9+ 8+2x
Combine like terms
x+14 = 17+2x
Subtract x from each side
x-x+14 = 17+2x-x
14 = 17+x
Subtract 17 from each side
14-17 = 17+x-17
-3 =x
But we are not asked to solve for x, but for UV
UV = 8+2x
Substitute x=-3
UV = 8+2(-3)
UV = 8-6
UV =2