The value of PR is 28.
PQ = x + 10
QR = 4x - 2
To solve the question, we'll equate both equations which will be:
PQ = QR.
x + 10 = 4x - 2
Collect like terms
4x - x = 10 + 2.
3x = 12
x = 12/3
x = 4
Therefore,
PQ = x + 10 = 4 + 10 = 14
QR = 4x - 2 = 4(4) - 2 = 16 - 2 = 14
Therefore, PR = 14 + 14 = 28
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