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Point B lies between points A and C on line AC. Let x represent the length of segment AB in inches.
Use the segment to complete the statements.
1. The value of x is __.
2. The length of line AB in inches is __.
3. The length of BC in inches is __.

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calculista

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

[tex]AC=AB+BC[/tex] -----> equation A

we have

[tex]AB=x\ in[/tex]

[tex]BC=3x\ in[/tex]

[tex]AC=20\ in[/tex]

substitute the values in the equation A and solve for x

[tex]20=x+3x[/tex]

[tex]20=4x[/tex]

[tex]x=5[/tex]

Part 2) Find the length of line AB

we know that

[tex]AB=x\ in[/tex]

substitute the value of x

[tex]AB=5\ in[/tex]

Part 3) Find the length of BC

we know that

[tex]BC=3x\ in[/tex]

substitute the value of x

[tex]BC=3(5)=15\ in[/tex]

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victoriawaiters45

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

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