Respuesta :

Answer:

The value of x is 14.

Step-by-step explanation:

Given;

mid-segment of the trapezoid = 11

The mid-segment of trapezoid is calculated as;

[tex]11 = \frac{8 \ + \ x}{2} \\\\2(11) = 8 + x\\\\22 = 8+x\\\\22-8 = x\\\\14 = x[/tex]

Therefore, the value of x is 14.