Answer: 7 units.
Step-by-step explanation:
Given: Point M is on line segment [tex]\overline{LN}[/tex].
So, point M must divide [tex]\overline{LN}[/tex] into [tex]\overline {LM}[/tex] and [tex]\overline{MN}[/tex].
Such that , [tex]\overline{LN}=\overline{LM}+\overline{MN}[/tex] (i)
Since, [tex]\overline{LM} = 5[/tex] units and [tex]\overline{LN} =12[/tex] units , then we will put values in (i), we will get
[tex]12=5+\overline{MN}\\\\\Rightarrow\overline{MN}=12-5=7[/tex]
Hence, the length of [tex]\overline{MN}[/tex] is 7 units.