al Microsoft Edge ayerHomework.aspx?homeworkld=633599150&questionId=1&flushed=false&cid=7112836¢erwin-yes ework For the pair of similar triangles, find the value of x. 2x-6 P 39 The value of x is (Simplify your answer. Use a comma to separate answers as needed.) Question 7, 7.4.24 x+8 20 >

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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**Finding the Value of \( x \) in Similar Triangles**

**Question 7, 7.4.24**

For the pair of similar triangles, find the value of \( x \).

**Diagram Explanation:**

There are two right triangles depicted:

1. **Larger Triangle:**
   - The base is labeled as \( 2x - 6 \).
   - The hypotenuse is labeled as \( 39 \).

2. **Smaller Triangle:**
   - The base is labeled as \( x + 8 \).
   - The hypotenuse is labeled as \( 20 \).

Since the triangles are similar, their corresponding side lengths are proportional.

**Task:**
Solve for \( x \).

**Input Field:**

The value of \( x \) is \_\_\_\_.
(Simplify your answer. Use a comma to separate answers as needed.)
Transcribed Image Text:**Finding the Value of \( x \) in Similar Triangles** **Question 7, 7.4.24** For the pair of similar triangles, find the value of \( x \). **Diagram Explanation:** There are two right triangles depicted: 1. **Larger Triangle:** - The base is labeled as \( 2x - 6 \). - The hypotenuse is labeled as \( 39 \). 2. **Smaller Triangle:** - The base is labeled as \( x + 8 \). - The hypotenuse is labeled as \( 20 \). Since the triangles are similar, their corresponding side lengths are proportional. **Task:** Solve for \( x \). **Input Field:** The value of \( x \) is \_\_\_\_. (Simplify your answer. Use a comma to separate answers as needed.)
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