x equals 22
Explanation:
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The Segment Postulate states the following:
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:
[tex]\overline{AB}=\overline{AC}+\overline{CB}[/tex]
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From the figure:
[tex]\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40[/tex]
Our goal is to find x:
[tex]\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}[/tex]
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Dilation: https://brainly.com/question/2501119
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