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** i will mark brainliest** Find the value of the variable in the parallelogram.

I Will Mark Brainliest Find The Value Of The Variable In The Parallelogram class=

Sagot :

Parallelograms are quadrilaterals with parallel and congruent opposite sides

The value of the variable is 30

How to determine the value of the variable

The given parameters are:

RZ = 6x + 9

SW = 13x - 12

From the parallelogram, we have the following relationship between lengths RZ and SW

[tex]SW =2 * RZ[/tex]

So, we have:

[tex]13x - 12 = 2 * (6x + 9)[/tex]

Open brackets

[tex]13x - 12 = 12x + 18[/tex]

Collect like terms

[tex]13x - 12x = 12 + 18[/tex]

[tex]x = 30[/tex]

Hence, the value of the variable is 30

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