SOLUTION: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC. AC= 8x-16 AB=3x-8 BC=4x

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Question 1121592: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC.
AC= 8x-16 AB=3x-8 BC=4x
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
AB + BC = AC    since the point  C  is between A and C on the segment AC.


It means that


(3x-8) + 4x = 8x - 16.


Simplify and solve it for x.


3x - 8 + 4x = 8x - 16


7x - 8 = 8x - 16


16 - 8 = 8x - 7x


8 = x.


Thus x= 8,  AC = 8x-16 = 8*8 - 16 = 84-16 = 48;  AB = 3x-8 = 3*8-8 = 16;  BC = 4*x = 4*8 = 32.

Solved.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
AC = AB + BC


AB =
AB =
AB =
BC =
BC =
BC =
———————————-
Check:
AC =
AC =
AC =
And
AB + BC =
AB + BC =

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