9 6) R 2x - 1 T S 3x +3

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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The image shows a diagram for a geometry problem involving a line segment. 

- The instruction number is labeled as "6)".
- The line segment is labeled as \( \overline{RT} \) with points \( R \), \( S \), and \( T \) marked on it.
- The segment \( \overline{RS} \) is labeled with the expression \( 2x - 1 \).
- The segment \( \overline{ST} \) is labeled with the number \( 9 \).
- Below the line segment, there is a blue double-headed arrow spanning from \( R \) to \( T \), labeled with the expression \( 3x + 3 \).

This diagram suggests a mathematical problem where you might need to solve for \( x \) using the given expressions for the segments of the line.
Transcribed Image Text:The image shows a diagram for a geometry problem involving a line segment. - The instruction number is labeled as "6)". - The line segment is labeled as \( \overline{RT} \) with points \( R \), \( S \), and \( T \) marked on it. - The segment \( \overline{RS} \) is labeled with the expression \( 2x - 1 \). - The segment \( \overline{ST} \) is labeled with the number \( 9 \). - Below the line segment, there is a blue double-headed arrow spanning from \( R \) to \( T \), labeled with the expression \( 3x + 3 \). This diagram suggests a mathematical problem where you might need to solve for \( x \) using the given expressions for the segments of the line.
**Find the length indicated.**

1) \( D \) to \( F \)

A line segment is shown with points \( D \), \( E \), and \( F \) marked. The segment \( DE \) is marked with a question mark (?), and \( EF \) is marked as 3 units. The entire length \( DF \) is marked as 15 units.

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**Find the length indicated.**

3) Find \( BC \)

A line segment is shown with points \( B \), \( C \), \( D \), and \( E \) marked. The segment \( CD \) is marked as 5 units, and \( DE \) is marked as 4 units. The entire length \( BE \) is marked as 17 units.

---

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

5)

A line segment is shown with points \( S \), \( R \), and \( Q \) marked. The segment \( SR \) is marked as \( 2x - 8 \) units, and \( RQ \) is marked as \( x \) units. The entire length \( SQ \) is marked as 22 units.
Transcribed Image Text:**Find the length indicated.** 1) \( D \) to \( F \) A line segment is shown with points \( D \), \( E \), and \( F \) marked. The segment \( DE \) is marked with a question mark (?), and \( EF \) is marked as 3 units. The entire length \( DF \) is marked as 15 units. --- **Find the length indicated.** 3) Find \( BC \) A line segment is shown with points \( B \), \( C \), \( D \), and \( E \) marked. The segment \( CD \) is marked as 5 units, and \( DE \) is marked as 4 units. The entire length \( BE \) is marked as 17 units. --- **Solve for \( x \).** 5) A line segment is shown with points \( S \), \( R \), and \( Q \) marked. The segment \( SR \) is marked as \( 2x - 8 \) units, and \( RQ \) is marked as \( x \) units. The entire length \( SQ \) is marked as 22 units.
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