Points A, B , and C are collinear. Point B is between A and C . Solve for x given the following. AC=22 AB=x+10 BC=x+14

Mathematics · High School · Thu Feb 04 2021

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The points A, B and C are collinear meaning they all lie on a line.

Then,

AB + BC = AC  

Substituting values, we get

x + 10 + x + 14 = 22,

that is,

2x + 24 = 22  

subtracting 24 from both sides 

2x = - 2  

dividing both sides by 2 

x = - 1