If LM = 9, MN = 6x, and LN = 9x, what is LN?

Given
LM = 9, MN = 6x, and LN = 9x
Find
LN
Explanation
as we see LN = LM + MN
so ,
[tex]\begin{gathered} 9+6x=9x \\ 9=9x-6x \\ 9=3x \\ x=3 \end{gathered}[/tex]so , LN = 9x = 9 * 3 = 27
Final Answer
Therefore , the length of LN is 27