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Point M is the midpoint of segment QR. If QM = 2x + 5 and MR = 5x – 1, find the length of QR. QR = 18 QR = 9 QR = -9QR = 8

User Monisha
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1 Answer

11 votes
11 votes

Asnwer:

QR = 18

Step-by-step explanation:

If Point M is the midpoint of segment QR, then the following expressions are true

QM = MR and;

QM + MR = QR

Given

QM = 2x + 5 and MR = 5x – 1,

Recall that QM = MR

2x + 5 = 5x - 1

2x - 5x = -1-5

-3x = -6

x = -6/-3

x = 2

Get the length of QR

QR = QM + MR

QR = 2x+5 + 5x -1

QR = 7x +4

QR = 7(2) + 4

QR = 14+4

QR = 18

Hence the length of QR is 18

User NicoE
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