Answer:
[tex]x=10, NL=8, NP=12[/tex]
Step-by-step explanation:
we know that
Applying the Intersecting secant Theorem
[tex]NL*NM=NP*NO[/tex]
substitute the given values and solve for x
[tex](3+5)*3=(2+x)*2[/tex]
[tex](8)*3=(2+x)*2[/tex]
[tex]24=(2+x)*2[/tex]
[tex]12=(2+x)[/tex]
[tex]x=12-2=10[/tex]
Find the value of NP
[tex]NP=(2+x)=2+10=12[/tex]
therefore
[tex]x=10, NL=8, NP=12[/tex]
