Respuesta :

Answer:

Step-by-step explanation:

If that is circle P. that means that P is the center, although it does not appear to be.  PR is 12, so that means that PQ is 8 + 12 (because any radius from the center will always measure 12).  PQ is 20.  PQ is also the hypotenuse of the right triangle that is formed when a tangent meets a circle at exactly one point.  That means that to find QR, we need Pythagorean's Theorem.

[tex]20^2=12^2+RQ^2[/tex] and

[tex]400=144+RQ^2[/tex] and

[tex]256=RQ^2[/tex] so

RQ = 16

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