Question

Identify the value of x and the length of each secant segment. HELP ASAP!!

Answer 1

Answer:

$x=10, NL=8, NP=12$

Step-by-step explanation:

we know that

Applying the Intersecting secant Theorem

$NL*NM=NP*NO$

substitute the given values and solve for x

$(3+5)*3=(2+x)*2$

$(8)*3=(2+x)*2$

$24=(2+x)*2$

$12=(2+x)$

$x=12-2=10$

Find the value of NP

$NP=(2+x)=2+10=12$

therefore

$x=10, NL=8, NP=12$