Answer:
Part A
x = 8
Part B
AM = 64 cm
Part C
BM = 64 cm
Part D
AB = AM + BM
Step-by-step explanation:
Consider the line segment below.
АM = (7x + 8) cm
BM = (9x – 8) cm
Part A - If AB is 128 centimeters long, what is the value of x?
AB = AM + BM
128 = (7x + 8) + (9x - 8)
128 = 7x + 9x + 8 - 8
128 = 16x
x = 128/16
x = 8
Part B - What is the length of AM?
АM = (7x + 8) cm
AM = 7(8) + 8 cm
AM = 56 + 8 cm
AM = 64 cm.
Part C - What is the length of BM?
BM = (9x – 8) cm
BM = 9 × 8 - 8 cm
BM = 72 - 8 cm
BM = 64 cm.
Part D - Is point M the midpoint of AB? Justify your answer.
A.............. M............... B
Hence: From the Above illustration,
M is the Midpoint because it divided AB into 2 equal parts
= AM and BM
Hence:
AB = AM + BM
