Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

Answer:
[tex]x=25[/tex]
Step-by-step explanation:
we know that
In this problem
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem
[tex]x^{2} =20^{2}+15^{2}[/tex]
[tex]x^{2} =400+225[/tex]
[tex]x^{2} =625[/tex]
square root both sides
[tex]x=25[/tex]