Respuesta :

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.

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