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Find z so that the triangles are similar. M I 43 191 L 52 P R 39 49 42 880 30 Q

Find z so that the triangles are similar. M I 43 191 L 52 P R 39 49 42 880 30 Q

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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### Task: Find \( x \) so that the triangles are similar. We have two triangles in the diagram: #### Triangle \( LMN \) - Angle \( L \) = 43° - Angle \( M \) = 49° - Angle \( N \) = 88° - Side \( LM = 52 \) - Side \( MN = 40 \) - Side \( LN = x \) #### Triangle \( PQR \) - Angle \( P \) = 43° - Angle \( Q \) = 88° - Angle \( R \) = 49° - Side \( PR = 30 \) - Side \( PQ = 42 \) - Side \( QR = 30 \) ### Instructions To make the triangles similar, their corresponding angles must be equal and the sides must be proportional. Therefore, you can set a proportion between the corresponding sides and solve for \( x \). #### User Input There is a field provided for entering the value of \( x \). ### Next Steps Once you find \( x \), select "Next Question" to continue practicing similar triangles.
Transcribed Image Text:### Task: Find \( x \) so that the triangles are similar. We have two triangles in the diagram: #### Triangle \( LMN \) - Angle \( L \) = 43° - Angle \( M \) = 49° - Angle \( N \) = 88° - Side \( LM = 52 \) - Side \( MN = 40 \) - Side \( LN = x \) #### Triangle \( PQR \) - Angle \( P \) = 43° - Angle \( Q \) = 88° - Angle \( R \) = 49° - Side \( PR = 30 \) - Side \( PQ = 42 \) - Side \( QR = 30 \) ### Instructions To make the triangles similar, their corresponding angles must be equal and the sides must be proportional. Therefore, you can set a proportion between the corresponding sides and solve for \( x \). #### User Input There is a field provided for entering the value of \( x \). ### Next Steps Once you find \( x \), select "Next Question" to continue practicing similar triangles.
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