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
![### Problem Statement:
Find the length of \( \overline{CD} \).
### Diagram Explanation:
- The diagram consists of a straight line segment labeled from point \( C \) to point \( E \).
- Point \( C \) is at the start of the line, and point \( E \) is at the end.
- Point \( D \) is marked on the line between \( C \) and \( E \).
- The segment from \( D \) to \( E \) is labeled as \( 16.1 \).
- The total length from \( C \) to \( D \) is marked as \( 31.6 \) with a blue arrow spanning from \( C \) to \( D \).
### Calculation:
To find the length of \( \overline{CD} \), subtract the length of \( \overline{DE} \) from the total length \( \overline{CE} \).
\[ CD = CE - DE = 31.6 - 16.1 = 15.5 \]
Thus, the length of \( \overline{CD} \) is \( 15.5 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1b5d0c3-6eef-4fa4-b91c-b0a4234a71ad%2F4281b25b-96b4-4415-8ece-9c5eab441d89%2Fpdidiad_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Find the length of \( \overline{CD} \).
### Diagram Explanation:
- The diagram consists of a straight line segment labeled from point \( C \) to point \( E \).
- Point \( C \) is at the start of the line, and point \( E \) is at the end.
- Point \( D \) is marked on the line between \( C \) and \( E \).
- The segment from \( D \) to \( E \) is labeled as \( 16.1 \).
- The total length from \( C \) to \( D \) is marked as \( 31.6 \) with a blue arrow spanning from \( C \) to \( D \).
### Calculation:
To find the length of \( \overline{CD} \), subtract the length of \( \overline{DE} \) from the total length \( \overline{CE} \).
\[ CD = CE - DE = 31.6 - 16.1 = 15.5 \]
Thus, the length of \( \overline{CD} \) is \( 15.5 \).
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