Question

In the diagram of circle C, diameter AB¯¯¯¯¯¯¯¯ is perpendicular to chord MN¯¯¯¯¯¯¯¯¯¯ at point O.

If MO=5x−7 and NO=18, what is the value of x? More help in the attachment.

Answer 1

The value of x is equal to
`5`

Explanation:

we know that

The diameter divide the circle into two equal parts

In this problem

MO=NO

substitute the values

`5x-7=18`

solve for x

Adds 7 both sides

`5x=18+7`

`5x=25`

Divide by 5 both sides

`x=25/5=5`