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

Question

asked Jul 16, 2023 53.7k views

1 Answer

Eralph · Answer 1 · 2023-07-20T08:33:12+0000

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