QR is tangent to p at r. Find RQ

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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