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If AC = 57, find the measure of AB.

Segment Addition Postulate - Meaning, Formula & Examples

If AC = 57, find the measure of AB. Segment Addition Postulate - Meaning, Formula-example-1

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Answer:

AB = 27

Explanation:

AC = AB + BC


{ \rm{57 = 3x + (4x - 6)}} \\ \\ { \rm{57 = 7x - 6}} \\ \\ { \rm{7x = 57 + 6}} \\ \\ { \rm{7x = 63}} \\ \\ { \rm{x = 9}}

Therefore;


{ \rm{AB = 3x = 3 * 9}} \\ { \boxed{ \rm{AB = 27}}}

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