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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