Question

Point B lies between points A and C on line AC. Let x represent the length of segment AB in inches.

Answer 1

Answer:

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer 2

Answer:

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1) Find the value of x

we know that

$AC=AB+BC$ -----> equation A

we have

$AB=x\ in$

$BC=3x\ in$

$AC=20\ in$

substitute the values in the equation A and solve for x

$20=x+3x$

$20=4x$

$x=5$

Part 2) Find the length of line AB

we know that

$AB=x\ in$

substitute the value of x

$AB=5\ in$

Part 3) Find the length of BC

we know that

$BC=3x\ in$

substitute the value of x

$BC=3(5)=15\ in$