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Diano4ka-milaya [45]
3 years ago
13

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

Mathematics
1 answer:
matrenka [14]3 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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