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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.

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 class=

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baabaagreysheep
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!

If quadrilateral WXYZ is a parallelogram, the opposite sides will be equal, in length from which the value of x will satisfy the two equations.

Response:

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

How can the option that best indicates if WXYZ can be a parallelogram be obtained?

Properties of a parallelogram

The length of the opposite sides of a parallelogram are equal, which gives;

2·x - 5 = x + 2

2·x - x = 2 + 5

  • x = 7

Similarly, we have;

x + 8 = 15

x = 15 - 8 = 7

The lengths of the opposite sides are therefore;

2·x - 5 = 2 × 7 - 5 = 9 and x + 8 = 15

The option that indicates if WXYZ is a parallelogram is therefore;

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

Learn more about parallelograms here;

https://brainly.com/question/21474928

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