Question

Which best explains if quadrilateral WXYZ can be a parallelogram?

Answer 1

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!

Answer 2

Answer:

(A)

Step-by-step explanation:

In order to prove that WXYZ is a parallelogram, consider Opposite sides of the given quadrilateral  be equal, thus

x+8=15

⇒x=7

Also, 2x-5=x+2

⇒x=7

Therefore, One side of the quadrilateral is: x+8=7+8=15 and the other side is=2x-5=2(7)-5=14-5=9.

Therefore, Opposite sides of the given quadrilateral are equal, hence

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