Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Suppose the
![The image shows two right triangles. Both triangles are marked with sets of congruent sides, indicated by identical tick marks.
**Left Triangle:**
- One side is labeled \(7x - 4\).
- Another side is labeled \(4y + 8\).
**Right Triangle:**
- One corresponding side is labeled \(24\).
- The other corresponding side is labeled \(31\).
The triangles are drawn in a way that suggests they are similar, sharing proportional side lengths.
Below the triangles, there are prompts for entering the values of \(x\) and \(y\):
- \(x =\) [type your answer...]
- \(y =\) [type your answer...]
To solve this problem, you should use the properties of similar triangles, setting up equations based on the proportional sides and solving for \(x\) and \(y\).](https://content.bartleby.com/qna-images/question/bb92e360-2368-4c63-bc3d-6ba8b8111bb0/61c8df78-e89b-41da-84c6-756d961e0e66/x2xj0lm_processed.jpeg)
Transcribed Image Text:The image shows two right triangles. Both triangles are marked with sets of congruent sides, indicated by identical tick marks.
**Left Triangle:**
- One side is labeled \(7x - 4\).
- Another side is labeled \(4y + 8\).
**Right Triangle:**
- One corresponding side is labeled \(24\).
- The other corresponding side is labeled \(31\).
The triangles are drawn in a way that suggests they are similar, sharing proportional side lengths.
Below the triangles, there are prompts for entering the values of \(x\) and \(y\):
- \(x =\) [type your answer...]
- \(y =\) [type your answer...]
To solve this problem, you should use the properties of similar triangles, setting up equations based on the proportional sides and solving for \(x\) and \(y\).
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