AureaP10750 AureaP10750

03-11-2022
Mathematics

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Find the value of x if A, B, and C are collinear points and B is between A and C.AB=5,BC=3x+7,AC=5x−2A. 6B. 12C. 7D. 14

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MacksonA578777 MacksonA578777

03-11-2022

Answer:

C. 7

Explanation:

Given:

AB = 5

BC = 3x + 7

AC = 5x - 2

Since the points A, B, and C are collinear:

AB + BC = AC

Substitute the given values into the equation above:

5 + 3x + 7 = 5x - 2

Collect like terms

5x - 3x = 5 + 7 + 2

2x = 14

Divide both sides by 2

2x/2 = 14/2

x = 7

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