IT ADGH~ D 52 ADEF, find the value of x. 91 E \x+3 H 2x - 1 F

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
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Using similar features to solve for missing measures

**Problem Statement:**

If \( \triangle DGH \sim \triangle DEF \), find the value of \( x \).

**Diagram Description:**

The diagram shows two similar triangles:
- Triangle \( DGH \) is a smaller triangle inside \( \triangle DEF \).
- In the diagram, segment \( DE \) is 91 units, and segment \( DG \) is 52 units.
- The segment \( GH \) is labeled \( x + 3 \).
- The segment \( EF \) is labeled \( 2x - 1 \).

The problem asks to find the value of \( x \) using the similarity of the triangles.
Transcribed Image Text:**Problem Statement:** If \( \triangle DGH \sim \triangle DEF \), find the value of \( x \). **Diagram Description:** The diagram shows two similar triangles: - Triangle \( DGH \) is a smaller triangle inside \( \triangle DEF \). - In the diagram, segment \( DE \) is 91 units, and segment \( DG \) is 52 units. - The segment \( GH \) is labeled \( x + 3 \). - The segment \( EF \) is labeled \( 2x - 1 \). The problem asks to find the value of \( x \) using the similarity of the triangles.
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