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In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ?

Triangle ABC and triangle DEF are shown. Side AB measures 10 millimeters. Side BC measures 4 millimeters. Side CA measures 8.5 millimeters. Side DE is not labeled. Side EF measures 12 millimeters. Side FD measures x.

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  1. EF / BC = FD / CA

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  2. FD/CA = EF/BC
    x/8.5 = 12/4.
    X = (8.5*12)/4 =

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  3. 1.5

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