The value of x is 8.5.
Solution:
U is the mid-point of TV.
TU = 6
UV = 2x - 11
TU = UV
6 = 2x - 11
Add 11 on both sides.
6 + 11 = 2x - 11 + 11
17 = 2x
Divide by 2 on both sides.
[tex]$\frac{17}{2} =\frac{2x}{2}[/tex]
8.5 = x
Switch the sides.
x = 8.5
Option B is the correct answer.
