Question

Find WX and show work

Answer 1

Given:

In a parallelogram WXYZ, WX=4x+5 and YZ= 7x-22.

To find:

The WX.

Solution:

In parallelogram WXYZ,

`WX=YZ` [Opposite sides of a parallelogram are equal]

Putting the given values, we get

`4x+5=7x-22`

Isolating variable terms.

`4x-7x=-5-22`

`-3x=-27`

Divide both sides by -3.

`x=(-27)/(-3)`

`x=9`

Now,

`WX=4x+5`

Putting x=9, we get

`WX=4(9)+5`

`WX=36+5`

`WX=41`

Therefore, the value of WX is 41.