Question

Solve for x.


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Answer 1

x = 15

Explanation:

Create and solve an equation of ratios. We can do this because the smaller triangle and the larger one are similar.

x 5 + x

------- = -----------

9 9 + 3

Cross-multiplying, we get 12x = 45 + 9x,

which simplifies to 3x = 45

Solving for x, we get x = 15