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Classify the quadrilateral. Then find the value(s) of the variable(s).


PR=QS and PR¯¯¯¯¯¯ bisects QS¯¯¯¯¯¯ . PR=20x−27 and QS=x+581 .

The image is of a quadrilateral PQRS with base SR and diagonals PR and SQ.

Classify the quadrilateral. Then find the value(s) of the variable(s). PR=QS and PR bisects QS . PR=20x 27 and QS=x+581 . The image is of a quadrilateral PQRS w class=

Verified Answer :

anwser  is Qs if you think about the question

Answer:

D, because the given parallelogram is a rectangle and the variable is equal to 32.

Step-by-step explanation:

The quadrilateral is rectangle, because we have congruent diagonals by given.

\(PR=QS\)

But, \(PR=20x-27\) and \(QS=x+581\)

Then,

\(20x-27=x+581\\20x-x=581+27\\19x=608\\x=\frac{608}{19}\\ x=32\)

Therefore, the right answewr is D, because the given parallelogram is a rectangle and the variable is equal to 32.

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