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3 years ago

#3 Q is the midpoint of PR, PQ = 2x, and PR = 8x - 12. Find X, PQ, and PR.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

Answer:

x = 3, PQ = 6 , PR = 12

Step-by-step explanation:

Given Q is the midpoint of PR , then

PQ = QR = 2x

PR = PQ + QR , that is

8x - 12 = 2x + 2x

8x - 12 = 4x ( subtract 4x from both sides )

4x - 12 = 0 ( add 12 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

PQ = 2x = 2 × 3 = 6

PR = 8x - 12 = 8(3) - 12 = 24 - 12 = 12

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