Question

1. x = ________

Explanation:

Step1: Recall trapezoid - mid - segment formula

The formula for the length of the mid - segment of a trapezoid is $MN=\frac{AB + DC}{2}$, where $MN$ is the length of the mid - segment, $AB$ is the length of the top base, and $DC$ is the length of the bottom base.

Step2: Substitute the known values

We know that $MN = 22$ and $DC=29$. Substituting into the formula $22=\frac{x + 29}{2}$.

Step3: Solve the equation for $x$

Multiply both sides of the equation by 2: $22\times2=x + 29$, which gives $44=x + 29$. Then subtract 29 from both sides: $x=44 - 29$.

Answer:

$15$