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12. If VS= 12 m, find the length of UT U 127 W T R S

12. If VS= 12 m, find the length of UT U 127 W T R S

Elementary Geometry For College Students, 7e
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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Number 12 please show work
**Transcription for Educational Website** ### Problem 12 **Problem Statement:** If \( VS = 12 \) m, find the length of \( UT \). **Diagram Explanation:** There is a circle with a secant line \( VST \). The diagram shows an angle \( \angle RWS \) measuring \( 127^\circ \). The points \( V \), \( S \), \( U \), and \( T \) are marked along the circle and line, respectively, with point \( W \) being on the circle. ### Problem 14 **Problem Statement:** If \( FG = 27 \) yd, find the length of the arc \( FED \). **Diagram Explanation:** The circle has points \( F \), \( G \), \( C \), \( D \), and \( E \) marked. There are angles \( \angle CFG = 47^\circ \) and \( \angle DGH = 80^\circ \), with point \( G \) being the center of the circle. Arcs \( FED \) and other segments are indicated but not labeled with lengths. **Note:** The calculations or additional context should include solving for these lengths using properties of circles and secants.
Transcribed Image Text:**Transcription for Educational Website** ### Problem 12 **Problem Statement:** If \( VS = 12 \) m, find the length of \( UT \). **Diagram Explanation:** There is a circle with a secant line \( VST \). The diagram shows an angle \( \angle RWS \) measuring \( 127^\circ \). The points \( V \), \( S \), \( U \), and \( T \) are marked along the circle and line, respectively, with point \( W \) being on the circle. ### Problem 14 **Problem Statement:** If \( FG = 27 \) yd, find the length of the arc \( FED \). **Diagram Explanation:** The circle has points \( F \), \( G \), \( C \), \( D \), and \( E \) marked. There are angles \( \angle CFG = 47^\circ \) and \( \angle DGH = 80^\circ \), with point \( G \) being the center of the circle. Arcs \( FED \) and other segments are indicated but not labeled with lengths. **Note:** The calculations or additional context should include solving for these lengths using properties of circles and secants.
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