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Given parallelogram QRST, where QR = 5x - 12 and ST = 2x + 27.Find the length of ST

1 Answer

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Answer: 53

Explanation:

There is no diagram here but I am assuming QR and ST are parallel, otherwise I believe the question isn't possible.

Two pairs of sides are parallel in a parallelogram, meaning they are equal.

As a result, we can make the two equation for the lengths equal to each other.

5x-12 = 2x+27

3x = 27+12

3x = 39

x = 13

Now that have found x, we can substitute this back into the equation for the length of ST.

2x+27

2(13) + 27

= 53

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