SOLUTION: 1. points A, B, and C are collinear and A is between B and C. AB= 4x -3 BC =7x + 5, and AC = 5x -16 Find each value. a. BC b. AB c. AC Please e3xplain how to solve this pr

Question 337813: 1. points A, B, and C are collinear and A is between B and C.
AB= 4x -3 BC =7x + 5, and AC = 5x -16
Find each value.
a. BC
b. AB
c. AC
Please e3xplain how to solve this problem
Found 2 solutions by solver91311, rameens_99:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If A, B, and C are collinear and A is between B and C, then

So:

Solve for , then substitute back into each of the expressions for BC, AB, and AC to calculate the three required measures.

John

My calculator said it, I believe it, that settles it

Answer by rameens_99(10) (Show Source): You can put this solution on YOUR website!
BA= 4x-3
AC= 5x-16
BC= 7x+5

BA+AC= BC

4x-3+5x-16=7x+5
9x-3-16=7x+5
9x-19=7x+5
9x=7x+24
2x=24
____________
x=12

Now plug it in each equation in place of x!!!
BA= 4x-3
4(12)-3
48-3
__________
BA=45

AC= 5x-16
5(12)-16
60-16
______________
AC=44

BC= 7x+5
7(12)+5
84+5
____________
BC=89

You're Welcome (-:

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