How to find x (similar triangles)

asked Jul 13, 2022 126k views

4 votes

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6 votes

Answer:

x = 2

Explanation:

Parallel lines divides the transversals in proportion.

Therefore,

$(9)/(4) = (13.5)/(x + 4) \\ \\ 9(x + 4) = 13.5 * 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = (54)/(9) \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2$

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