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Please help very confused

Please help very confused-example-1
User Can Nguyen
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1 Answer

2 votes

Answer:

x = -8

QR = 6

PR = 9

Explanation:

Alrighty, this one has a lot of steps. We have to think about this logically.

The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.

The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.

PR = PQ + QR

x + 17 = 3 + 2x + 22

17 - 3 - 22 = 2x - x

-8 = x

so x = -8

Now we can use that x and plug it into the other two formulas:

QR = 2x + 22

QR = 2(-8) + 22

QR = -16 + 22

QR = 6

And now we plug x into PR:

PR = x + 17

PR = -8 + 17

PR = 9

Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:

PR = 3 + QR

PR = 3 + 6

PR = 9

User BillRizer
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