Hello! I have this question I’m stumped on

Answer:
A. NM = 18
Explanation:
we can find NM using the equation:
[tex]\frac{NM}{12} = \frac{12}{8}[/tex]
[tex]NM = \frac{12*12}{8}[/tex]
[tex]NM = 18[/tex]
we can find LM using the equation:
[tex]\frac{LM}{12} = \frac{10}{8}[/tex]
[tex]LM = \frac{12*10}{8}[/tex]
[tex]LM = 15[/tex]
Therefore, found that A. is the correct answer.