LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Step-by-step explanation:

Given

Required

Determine LN

Since LM is a bisector, then we have:

(See attachment for illustration)

Collect Like Terms

Solve for w

LN is calculated as thus:

Substitute 4 for w

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)