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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