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.
