Question

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.

Answer 1

anwser is Qs if you think about the question

Answer 2

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

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=(608)/(19)\\ x=32`

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