Geometry Circles- Segments from Secants and Tangents

Solve for x. Assume that lines which appear tangent are tangent.

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Solve for x. Assume that lines which appear tangent are tangent.

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What is the length of PO if MN = 4 inches and PN = 8 inches?
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What is the length of MN if NO = 4 meters and PN = 9 meters?

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What is the value of x if MN = x, ON = x – 4, and PN = x + 8?
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