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If lines L=4x and M=x are perpendicular, what is the value of x?

If lines L=4x and M=x are perpendicular, what is the value of x?-example-1

1 Answer

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Those angles are complementary, therefore, we can conclude:


\begin{gathered} 4x+x=90 \\ add_{\text{ }}like_{\text{ }}terms: \\ 5x=90 \\ Solve_{\text{ }}for_{\text{ }}x: \\ x=(90)/(5) \\ x=18 \end{gathered}

Answer:

x = 18

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