Answer:
[tex]a = 7, LN = 105[/tex]
Step-by-step explanation:
[tex]LM = 8a[/tex]
[tex]\textrm{LM also equals 56}[/tex]
Solve for a
[tex]8a = 56 \rightarrow a =7[/tex]
Given that a = 7, solve for MN
[tex]MN = 7a[/tex]
[tex]MN = 7(7) \rightarrow 49[/tex]
In order to find LN, add 49 and 56 together
[tex]49 + 56 = 105[/tex]
[tex]LN = 105[/tex]
