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Marizza181 [45]
3 years ago
15

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

of AB and BC by substituting x back into the equation.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

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