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ALGEBRA In AJLP, M2JMP = 3x – 6, JK = 3y – 2, and LK = 5y – 8. 34 TE an 35. Find LK if PK is a median. conne

ALGEBRA In AJLP, M2JMP = 3x – 6, JK = 3y – 2, and LK = 5y – 8. 34 TE an 35. Find LK if PK is a median. conne

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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how would you do 35? thanks !
On this educational page, you'll explore a problem involving triangle geometry. Here's the detailed transcription and explanation: --- **ALGERBRA**: In \( \triangle JLP \), \( m \angle JMP = 3x - 6 \), \( JK = 3y - 2 \), and \( LK = 5y - 8 \). **35.** Find \( LK \) if \( PK \) is a median. --- **Diagram Explanation**: The diagram shows triangle \( JLP \) with point \( K \) on its side, forming two segments \( JK \) and \( LK \). There is another segment, \( PK \), which is a median, meaning it divides the opposite side \( JL \) into two equal parts. Point \( M \) is on line \( LP \). This problem involves algebraic expressions for the side lengths and angles in the triangle, with a focus on finding one of the side lengths under given conditions.
Transcribed Image Text:On this educational page, you'll explore a problem involving triangle geometry. Here's the detailed transcription and explanation: --- **ALGERBRA**: In \( \triangle JLP \), \( m \angle JMP = 3x - 6 \), \( JK = 3y - 2 \), and \( LK = 5y - 8 \). **35.** Find \( LK \) if \( PK \) is a median. --- **Diagram Explanation**: The diagram shows triangle \( JLP \) with point \( K \) on its side, forming two segments \( JK \) and \( LK \). There is another segment, \( PK \), which is a median, meaning it divides the opposite side \( JL \) into two equal parts. Point \( M \) is on line \( LP \). This problem involves algebraic expressions for the side lengths and angles in the triangle, with a focus on finding one of the side lengths under given conditions.
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