GEOMETRY HELP...

Question

Segment AB is a diameter of the larger circle

Segment AB intersetcs a chord of th smaller cicle PQ----, at a right angle at point Z

Segment AB intersects a chord of the larger cicle, MN------, at a right angle at point O

If MO= 7x-4, and NO= 6x, whats the length of MN-----?

Answer 1

When diameter AB intersects chord MN of the large circle and is perpendicular to it, it intersects at a 90 degree angle and bisects chord MN in two equal parts, MO and NO.

MO = NO

So 7x-4 = 6x

x = 4 and MO = NO = 24

Then MN = 48

Note: The smaller circle is not solvable because it is undefined.