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Stels
7 days ago
7

Which best explains if quadrilateral WXYZ can be a parallelogram?

Mathematics
2 answers:
Svet_ta [9.5K]7 days ago
8 0
The answer corresponds to the first option.
babunello [8.4K]7 days ago
5 0

Answer: The quadrilateral WXYZ could potentially be a parallelogram with one side measuring 15 mm and another pair measuring 9 mm.


Detailed explanation:

In this problem, we know that in quadrilateral WXYZ, YZ is 15 mm long.

The side opposite YZ measures x+18.

For a shape to be a parallelogram, opposite sides must be equal.

Consequently,

YZ must equal XW

Therefore, x+8 = 15.

By subtracting 8 from both sides, we arrive at

x+8-8 = 15-8

x=7.

Next, XY=2x-5

Substituting x=7 into 2x-5 yields

XY= 2(7) -5 = 14-5 = 9mm.


The opposite side to XY is WZ.

Thus, WZ is equal to 9 mm.


Therefore, the correct conclusion is:

WXYZ has the potential to be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.


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