For the parallelogran, find the value of the variables. Show your work
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Parallelogram, opposite sides are equal
So
5x + 2 = 17
5x = 15
x = 3
and
3y - 6 = 21
3y = 27
y = 9
Answer:
x = 3 and y = 9
Opposite sides of a parallelogram are equal to each other
therefore make the opposite sides equal to each other in an equation.
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We'll have 2 equations:
3y - 6 = 21 and 5x + 2 = 17
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Solve the first equation
3y - 6 = 21
Add 6 to both sides
3y = 27
Divide both sides by 3
y = 9
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Solve the second equation
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide both sides by 5
x = 3
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[tex] \boxed {x = 3,~y =9} [/tex]
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