Question

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Answer 1

Conclusion:

• The value of x = 7

• The value of y = 4

Explanation:

Given

• The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

• RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

• The value of x = 7

• The value of y = 4