Question

ux is the midsegment of the trapezoid vwyz. if vw = 28 and yz = 58, what is ux? ux =

Explanation:

Step1: Recall mid - segment formula

The formula for the length of the mid - segment of a trapezoid is $UX=\frac{VW + YZ}{2}$, where $UX$ is the mid - segment and $VW$ and $YZ$ are the lengths of the parallel sides of the trapezoid.

Step2: Substitute given values

Substitute $VW = 28$ and $YZ=58$ into the formula: $UX=\frac{28 + 58}{2}$.

Step3: Calculate the sum in the numerator

First, find the sum of 28 and 58: $28+58 = 86$.

Step4: Divide by 2

Then, divide 86 by 2: $\frac{86}{2}=43$.

Answer:

43