Posted by **brandon smith** on Wednesday, October 2, 2013 at 10:51am.

[1.04] If B is between A and C, AB=2x-1, BC=3x+5 and AC=24, what is the value of AB?

Segment A C contains point B.

- geometry -
**Jai**, Wednesday, October 2, 2013 at 11:29am
Note that point B is in segment AC, therefore we can say that the sum of lengths of AB and BC is equal to AC, or

AB + BC = AC

Substituting,

(2x - 1) + (3x + 5) = 24

5x + 4 = 24

5x = 20

x = 4

Thus,

AB: 2(4) - 1 = 7 units

Hope this helps~ :3

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