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Mathematics 17 Online
OpenStudy (anonymous):

In the diagram below, ABC ~ DEC. What is the value of x? A. 6 B. 5 C. 3 D. 4

OpenStudy (anonymous):

OpenStudy (anonymous):

You have told ABC similar to DEC. Hence AB/DE = BC/EC = AC/DC. (Since corresponding sides of similar triangles are proportional.) BC/EC = AC/DC 36/6 = 24-2X/X 6X = 24-2X 8X = 24 OR X = 3

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