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
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![**Title: Finding Similar Rectangles**
**Objective**: Determine the value of \( z \) to make two rectangles similar.
**Problem Statement**:
Find \( z \) so that the 2 rectangles are similar.
**Description**:
We are given two rectangles. To find the value of \( z \), we must ensure the rectangles are similar, meaning their corresponding sides must be in proportion.
**Diagrams**:
- **First Rectangle**:
- Height: \( z \)
- Width: 3
- **Second Rectangle**:
- Height: 25
- Width: 5
Since the rectangles are similar, the ratio of the corresponding sides must be equal:
\[
\frac{z}{3} = \frac{25}{5}
\]
**Task**:
Solve for \( z \) using the proportion and submit your answer.
**Input Box**:
\[ z = \, \_\_ \]
**Button**:
- Submit Question
Use the given proportion to calculate the value of \( z \) that satisfies the condition of similarity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c22293a-3ae6-4ac2-9c37-c12acd82a0e8%2Fe964226b-4b6d-448e-a011-b734395e720d%2Fe0lk5yn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Finding Similar Rectangles**
**Objective**: Determine the value of \( z \) to make two rectangles similar.
**Problem Statement**:
Find \( z \) so that the 2 rectangles are similar.
**Description**:
We are given two rectangles. To find the value of \( z \), we must ensure the rectangles are similar, meaning their corresponding sides must be in proportion.
**Diagrams**:
- **First Rectangle**:
- Height: \( z \)
- Width: 3
- **Second Rectangle**:
- Height: 25
- Width: 5
Since the rectangles are similar, the ratio of the corresponding sides must be equal:
\[
\frac{z}{3} = \frac{25}{5}
\]
**Task**:
Solve for \( z \) using the proportion and submit your answer.
**Input Box**:
\[ z = \, \_\_ \]
**Button**:
- Submit Question
Use the given proportion to calculate the value of \( z \) that satisfies the condition of similarity.
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