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Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.
Which best explains if quadrilateral WXYZ can be a parallelogram?

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

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akposevictor

We can conclude that: A. Quadrilateral WXYZ can be a parallelogram having one pair of sides which equals 15 mm and the other pair measuring 9 mm.

Sides of a Parallelogram

A parallelogram has two pairs of parallel sides which also have equal measure of length.

Given quadrilateral WXYZ, where:

WX = x + 8

XY = 2x - 5

ZY = 15

WZ = x + 2

Find the value of x:

WX = ZY (opposite sides are equal)

  • Substitute

x + 8 = 15

x = 15 - 8

x = 7

Therefore, also, for quadrilateral WXYZ to be a parallelogram:

XY = WZ

  • Substitute

2x - 5 = x + 2

  • Plug in the value of x

2(7) - 5 = 7 + 2

14 - 5 = 9

9 = 9 (true).

Thus, we can conclude that: A. Quadrilateral WXYZ can be a parallelogram having one pair of sides which equals 15 mm and the other pair measuring 9 mm.

Learn more about parallelogram on:

https://brainly.com/question/12167853

aeveroplays

Answer:

The answer is A.

Step-by-step explanation:

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