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8-62.

Right triangle, dashed segment, labeled x, from the right angle, perpendicular to the hypotenuse, dividing hypotenuse into 2 parts, left part labeled 3, right part labeled 15.The diagram at right has three right triangles. How are these three triangles related? Use this relationship to calculate the value of in the diagram.  

These are similar triangles. Set up a proportion and solve for .