Which best explains if quadrilateral wxyz can be a parallelogram


Asked by maham237 @ in Mathematics viewed by 444 People


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.

Answered by maham237 @



Your answer is
"WXYZ can be a parallelogram with one pair of sides measuring 15mm and the other pair measuring 9mm"

To find this, you first have to solve for x. Assuming WXYZ is a parallelogram, then the side (x + 8) must equal 15, which means we can subtract 8 and get x as 7.

Now we substitute 7 into the other side's, (7 + 2) = 9mm, and (7 × 2) - 5 = 14 - 5 = 9mm.

I hope this helps!

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