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Zolol [24]
3 years ago
12

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

Mathematics
2 answers:
attashe74 [19]3 years ago
7 0

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

Paul [167]3 years ago
5 0

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

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