SU and VT are chords that intersect at point R.

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.

AX and EX are secant segments that intersect at point X.



A circle is shown. Secant P N and tangent M N intersect at point N outside of the circle. Secant P N intersects the circle at point Q. The length of M N is 6, the length of Q N is 4, and the length of P Q is x.

Point O is the center of the circle.

Line segment BA is tangent to the circle.

RT and GJ are chords that intersect at point H.

BD and AC are chords that intersect at point Y.

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.





Circle C is inscribed in triangle JEG.

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