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Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write a proof of the following theorem. The measure of an angle formed by a tangent and a chord is half the measure of its intercepted arc. B Given: AB tangent to circle P at point B. Prove: MZABD = MBCD Draw BP and label the point of intersection E with circle P. So, mZABE =. (Type an integer or a decimal. Do not include the degree symbol in your answer.) Using the Angle Addition Postulate, m ZABE = So, m ZDBE = From the Inscribed Angles Theorem, By the Transitive Property of Equality, mDE = Add arc angle measures. MBCD + mDE = (Type an integer or a decimal. Do not include the degree symbol in your answer.) So, mDE =
Transcribed Image Text:Write a proof of the following theorem. The measure of an angle formed by a tangent and a chord is half the measure of its intercepted arc. B Given: AB tangent to circle P at point B. Prove: MZABD = MBCD Draw BP and label the point of intersection E with circle P. So, mZABE =. (Type an integer or a decimal. Do not include the degree symbol in your answer.) Using the Angle Addition Postulate, m ZABE = So, m ZDBE = From the Inscribed Angles Theorem, By the Transitive Property of Equality, mDE = Add arc angle measures. MBCD + mDE = (Type an integer or a decimal. Do not include the degree symbol in your answer.) So, mDE =
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