Respuesta :

AB + BC = AC                 Segment Addition Postulate

(x + 10) + (x + 14) = 22     Substitution

2x + 24 = 22                   Simplify (added like terms)

2x = -2                            Subtraction Property of Equality

x = -1                               Divison Property of Equality

Answer: x = -1

This question is based on the Midpoint of a line

Midpoint is defined as the distance between two points.

From the question, the line is called ac and the midpoint is called b

Solving for x, Mathematically, we have the expression:

ab + bc = ac

bc = x + 14, ab = x + 10, ac = 22

Hence,

x + 10 + x + 14 = 22

Collect like terms

2x + 24 = 22

Collect like terms

2x = 22 - 24

2x = -2

Divide both sides by x

2x/2 = -2/2

x = -1

Therefore, the value of x is -1

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