Answer: The length of [tex]\overline{NP}[/tex] is 10 units.
Step-by-step explanation:
We are given that,
Point O is on line segment [tex]\overline{NP}[/tex] .
Then, [tex]\overline{NP}=\overline{NO}+\overline{OP}[/tex] (i)
Since we have given that OP=8 units and NO=2 units .
Now we will substitute these values in (i), we will get
[tex]\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units[/tex]
Hence, the length of [tex]\overline{NP}[/tex] is 10 units.