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.

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 class=

Respuesta :

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]

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