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CEMC Gauss (Grade 8), 2011

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $AE$ and $BD$ are straight lines that intersect at $C$ . If $BD = 16$ , $AB = 9$ , $CE = 5$ , and $DE = 3$ , then the length of $AC$ is

(A) $11$ (B) $12$ (C) $15$ (D) $17$ (E) $16$

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