Answer: x = 5 QR = 32
Step-by-step explanation:
QM = 2x + 6, MR = 5x - 9 Given
M is midpoint of QR Given
QM = MR Definition of Midpoint
2x + 6 = 5x - 9 Substitution
6 = 3x - 9 Subtraction
15 = 3x Addition
5 = x Division
QM = 2(5) + 6 Substitution
= 10 + 6 Simplify
= 16 Simplify
MR = QM =16
QM + MR = QR Segment Addition Postulate
16 + 16 = QR Substitution
32 = QR Simplify
