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For what values of x and y is PQRS a parallelogram? P 2y + 2 y + 4 2x + 3 S R y + 5 X = y= 0​

For what values of x and y is PQRS a parallelogram? P 2y + 2 y + 4 2x + 3 S R y + 5 X-example-1
User Frals
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1 Answer

4 votes

Answer:

x = 2 and y = 3

Explanation:

For us to have a parallelogram, the opposite sides must be equal in length

Thus, we have it that;

2y + 2 = y + 5

2y - y = 5-2

y = 3

To get the value of x

y + 4 = 2x + 3

Recall y = 3: substitute this value

3 + 4 = 2x + 3

3+ 4 - 3 = 2x

2x = 4

x = 4/2

x = 2

User Sjoerd Perfors
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