Question

For the parallelogran, find the value of the variables. Show your work

Answer 1

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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`\boxed {x = 3,~y =9}`

★ ★ ★ Good luck! ★★★

Answer 2

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