Question

b is the midpoint of ac. solve for each of the items listed below: a 3(3x - 1) b 5(2x + 2) c x = __ ab = bc = ac = __ x = type your answer ab = type your answer bc = type your answer ac = type your answer

Explanation:

Step1: Set AC=2AB (midpoint property)

$5(2x+2) = 2 \cdot 3(3x-1)$

Step2: Expand both sides

$10x + 10 = 18x - 6$

Step3: Solve for x

$8x = 16 \implies x=2$

Step4: Calculate AB

$AB=3(3x-1)=3(6-1)=15$

Step5: BC=AB (midpoint)

$BC=15$

Step6: AC=2AB

$AC=2 \cdot 15=30$

Answer:

x = 2, AB = 15, BC = 15, AC = 30