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Find the value of each variable so that PQRS is a parallelogram. Explain what allows you to do this.

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Answer:


x = 5


y = 16

Explanation:

Given

See attachment for parallelogram

Required

Find variables x and y

Solving for x, we have:


5x = 25 ---- Opposite sides of a parallelogram


(5x)/(5) = (25)/(5) ------ Divide both sides by 5


x = 5

Solving for y, we have:


3y - 1 = 47 ---- Opposite sides of a parallelogram


3y = 1 + 47 ------ Collect like terms


3y = 48


(3y)/(3) = (48)/(3) ---- Divide both sides by 3


y = 16

Find the value of each variable so that PQRS is a parallelogram. Explain what allows-example-1
User Elachere
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