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Find WX and show work

Find WX And Show Work class=

Sagot :

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.

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