Respuesta :
Answer:
PR = 82
Step-by-step explanation:
Since Q is the midpoint of PR, then
PQ = QR, that is
6x - 7 = 5x + 1 ( subtract 5x from both sides )
x - 7 = 1 ( add 7 to both sides )
x = 8
Thus
PR = PQ + QR = 6x - 7 + 5x + 1 = 11x - 6
Hence
PR = 11(8) - 6 = 88 - 6 = 82
The final length of PR is 82.
Given,
Q is the midpoint of PR.
PQ equals 6X -7 and QR equals 5X plus one.
We need to find the length of PR.
We have,
Q is the midpoint of PR.
So,
PQ and QR are equal.
PQ = 6X - 7 and QR = 5X + 1
PQ = QR
6X - 7 = 5X + 1
Subtracting 5X on both sides.
6X - 5X - 7 = 5X + 1 - 5X
X - 7 = 1
X = 7 + 1 = 8
Now,
PR = PQ + QR
= (6X - 7) + (5X + 1)
Putting X = 8,
We get,
PR = (6 x 8 - 7) + (5 x 8 + 1)
= 48 - 7 + 40 + 1
= 89 - 7
= 82.
The final length of PR is 82.
Learn more about finding the length of two points with a midpoint here:
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