Question

Point M is the midpoint of line XY. If XM = 2x + 7 and MY= 8x - 23 a. ) Draw the whole segment and label all the points and mark the congruent segments.

Answer 1

Explanation:

If M s the mid point of the line XY, then XM+MY = XY and XM= MY

Given

XM = 2x+7

MY = 8x-23

Since XM = XY, then;

2x+7 = 8x - 23

2x-8x = -23-7

-6x = -30

x = -30/-6

x = 5

Get XM

XM = 2x+7

XM = 2(5)+7

XM = 10+7

XM = 17

Get MY:

MY = 8x-23

MY = 8(5)-23

MY = 40-23

MY = 17

Since XY = XM+MY

XY = 17+17

XY = 34