Math Problem Statement

A sheet of math problems related to tangents to circles, including scenarios involving tangents, incircles, and chords. Example: In the figure, PA and PB are tangents. ∠APO = 40°. Find x.

Solution

Thank you for sharing the image. It contains a set of mathematical problems related to tangents to circles. I will be happy to help solve any of these problems or provide explanations for them. Could you let me know which question you'd like me to start with, or should I solve a specific one for you?

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Math Problem Analysis

Mathematical Concepts

Geometry
Tangents to Circles
Properties of Circles
Triangles

Formulas

Tangents from an external point are equal: PA = PB
Angle between tangent and radius = 90°
Perimeter formulas: Sum of sides of triangles
Chord and tangent relationships

Theorems

Tangents drawn from the same external point are equal.
The angle between the tangent and the radius drawn to the point of contact is 90°.
Pythagoras theorem for right triangles.

Suitable Grade Level

Grade 10

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