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.

In the diagram of circle C diameter AB is perpendicular to chord MN at point O If MO5x7 and NO18 what is the value of x More help in the attachment class=

Respuesta :

Answer:

The value of x is equal to [tex]5[/tex]

Step-by-step explanation:

we know that

The diameter divide the circle into two equal parts

In this problem

MO=NO

substitute the values

[tex]5x-7=18[/tex]

solve for x

Adds 7 both sides

[tex]5x=18+7[/tex]

[tex]5x=25[/tex]

Divide by 5 both sides

[tex]x=25/5=5[/tex]