Question

find the indicated measure. *
your answer
this is a required question

Explanation:

Step1: Recall the midline theorem for trapezoids

The midline (or midsegment) of a trapezoid is the segment that connects the midpoints of the non - parallel sides. The length of the midline \(GH\) of a trapezoid with bases \(WX\) and \(VY\) is given by the formula \(GH=\frac{WX + VY}{2}\).

We know that \(WX = 4.4\), \(GH=5.5\), and we need to find \(VY\).

Step2: Rearrange the formula to solve for \(VY\)

Starting from \(GH=\frac{WX + VY}{2}\), we can multiply both sides of the equation by \(2\) to get \(2\times GH=WX + VY\). Then, we can rearrange this equation to solve for \(VY\): \(VY = 2\times GH-WX\).

Step3: Substitute the known values

Substitute \(GH = 5.5\) and \(WX=4.4\) into the formula for \(VY\):

\(VY=2\times5.5 - 4.4\)

First, calculate \(2\times5.5=11\). Then, subtract \(4.4\) from \(11\): \(11 - 4.4 = 6.6\).

Answer:

\(6.6\)