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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 values of the variables PRQS and PR bisects QS PR20x27 and QSx581 The image is of a quadrilateral PQRS with base SR and class=

Respuesta :

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.

[tex]PR=QS[/tex]

But, [tex]PR=20x-27[/tex] and [tex]QS=x+581[/tex]

Then,

[tex]20x-27=x+581\\20x-x=581+27\\19x=608\\x=\frac{608}{19}\\ x=32[/tex]

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

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