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
Related questions
Question
What is the value of y?

Transcribed Image Text:**Problem:**
What is the value of \( y \)?
**Diagram Description:**
The diagram shows triangle \( HJI \) with point \( K \) on line \( HI \). Line segment \( JK \) is perpendicular to \( HI \).
- **Lines and Measurements:**
- Line segment \( HK = 3y \).
- Line segment \( KI = y + 40 \).
- Line segment \( JK \) is perpendicular to \( HI \), indicating a right angle at point \( K \).
- The segments \( HK \) and \( JK \) are marked with small red lines indicating they are equal in length.
**Input Box:**
- Below the diagram, there is an input box labeled "y =", where you can enter the value of \( y \).
**Submit Button:**
- A green "Submit" button is available for checking the answer.
Using information about right triangles and any given relationships, find the value of \( y \) to ensure the triangle makes sense geometrically.
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