Given:
In a parallelogram WXYZ, WX=4x+5 and YZ= 7x-22.
To find:
The WX.
Solution:
In parallelogram WXYZ,
[tex]WX=YZ[/tex] [Opposite sides of a parallelogram are equal]
Putting the given values, we get
[tex]4x+5=7x-22[/tex]
Isolating variable terms.
[tex]4x-7x=-5-22[/tex]
[tex]-3x=-27[/tex]
Divide both sides by -3.
[tex]x=\dfrac{-27}{-3}[/tex]
[tex]x=9[/tex]
Now,
[tex]WX=4x+5[/tex]
Putting x=9, we get
[tex]WX=4(9)+5[/tex]
[tex]WX=36+5[/tex]
[tex]WX=41[/tex]
Therefore, the value of WX is 41.
