Answer:
[tex]NO = 16\ units[/tex]
Step-by-step explanation:
Given
[tex]NP = 3x[/tex]
[tex]NO = 2x[/tex]
[tex]OP = 8[/tex]
Required
Determine NO
Since O is a segment on NP, we have that
[tex]NP = NO + OP[/tex]
Substitute values for these parameters
[tex]3x = 2x + 8[/tex]
Collect Like Terms
[tex]3x - 2x = 8[/tex]
[tex]x = 8[/tex]
Substitute 8 for x in [tex]NO = 2x[/tex]
[tex]NO = 2 * 8[/tex]
[tex]NO = 16\ units[/tex]