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Find the value of the variable in the parallelogram.

 

RZ = 3x + 5

SW = 7x - 12

 

 Mar 20, 2021
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A parallelogram with a right angle is simply a rectangle.

 

Therefore, RT and SW are equivalent diagonals and Z, their intersection, is also their midpoint.

Therefore SW is twice the length of RZ.

 

Now we can use this information to solve the respective equation:

 

2(3x+5) = 7x-12

6x+10 = 7x-12

x = 22

 Mar 21, 2021

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