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Katena32 [7]
3 years ago
6

Segment addition with variables

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

\overline{AB}=\overline{AC}+\overline{CB}

____________________________________________

From the figure:

\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40

Our goal is to find x:

\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

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