What is the value of y? H J y K Submit y+40 3y I

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
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What is the value of y?
 
**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.
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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