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How do I solve for x?

How do I solve for x?-example-1

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Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

5 6
---- = ---------
14 6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
User Vahid Montazer
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