Question

Find the value of the variable in the parallelogram.

RZ = 4x + 2
SW=9x - 8

X=

Answer 1

`x=12`

Explanation:

This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.

The diagonals in a parralelogram bisect each other.

The diagonals in a rectangle are congruent.

`RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT`

`RT=SW\\8x+4=9x-8\\4=x-8\\x=12`