Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x+2, and BC = 3x+6, what is BC?
2 answers:
Answer:
The value of BC is 30.
Step-by-step explanation:
Given information: A, B, and C are collinear, B lies between A and C, AC = 48, AB = 2x+2, and BC = 3x+6.
If A, B, and C are collinear, B lies between A and C, then by using segment addition property, we get
Substitute AC = 48, AB = 2x+2, and BC = 3x+6 in the above equation.
On combining like terms we get
Subtract 8 from both sides.
Divide 5 from both sides.
The value of x is 8.
We need to find the value of BC.
Therefore the value of BC is 30.
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