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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![## Question 12
**Consider the diagrams below.**
Two right triangles are shown.
- **Left Triangle:**
- One leg is labeled \( y - x \).
- The hypotenuse is labeled \( 3x + y \).
- **Right Triangle:**
- One leg is labeled \( y + 5 \).
- The hypotenuse is labeled \( x + 5 \).
**Find the values of \( x \) and \( y \) that make the right triangles congruent.**
- \( x = \) [ ]
- \( y = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F785cbbd9-f441-484e-b6b0-0aa4eaf753c1%2F3c63beeb-095e-48ba-8d2b-57ed2f9c9afe%2F1ck5hzb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Question 12
**Consider the diagrams below.**
Two right triangles are shown.
- **Left Triangle:**
- One leg is labeled \( y - x \).
- The hypotenuse is labeled \( 3x + y \).
- **Right Triangle:**
- One leg is labeled \( y + 5 \).
- The hypotenuse is labeled \( x + 5 \).
**Find the values of \( x \) and \( y \) that make the right triangles congruent.**
- \( x = \) [ ]
- \( y = \) [ ]
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