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4 years ago

In trapezoid WXYZ, identify WX. PLEASE HELP!!!

Mathematics

1 answer:

matrenka [14]4 years ago

3 0

Answer:

The length of WX is 31 units.(third option)

Step-by-step explanation:

Given that In trapezoid WXYZ, WX║ZY and S and T are the mid points of the sides WZ and XY. We have to find the length of WX.

By trapezoid mid-segment Property,

A mid-segment of a trapezoid join the midpoints of the two non-parallel sides of trapezoid. The length of the mid-segment is the average of the lengths of the two bases and is parallel to the bases of the trapezoid.

∴ $ST=\frac{WX+ZY}{2}$

⇒ $48=\frac{WX+65}{2}$

⇒ $96=WX+65$

⇒ $WX=96-65=31$

The length of WX is 31 units.(third option)

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