11x+2

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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find the measurement of arc GH
### Educational Content on Circle Diagrams

#### Diagram Explanation:

The diagram consists of a circle with its center marked by a black dot. The circle is divided into four sectors by two lines intersecting at the center. 

#### Notations:
- Points where the lines intersect the circumference are labeled D, E, F, G, and H.
- The arc between points E and F includes a segment with the expression \(11x + 2\) inscribed along it.
- Another segment within the circle contains the expression \(21x + 10\).

#### Purpose of the Diagram:
This diagram can be used to illustrate the properties of the circle and sectors, as well as to solve problems involving algebraic expressions related to the angles and arcs of a circle. 

For example, by using the fact that the angles around the center sum to 360°, one can set up equations to solve for the value of \(x\), ensuring a deeper understanding of both geometry and algebra.
Transcribed Image Text:### Educational Content on Circle Diagrams #### Diagram Explanation: The diagram consists of a circle with its center marked by a black dot. The circle is divided into four sectors by two lines intersecting at the center. #### Notations: - Points where the lines intersect the circumference are labeled D, E, F, G, and H. - The arc between points E and F includes a segment with the expression \(11x + 2\) inscribed along it. - Another segment within the circle contains the expression \(21x + 10\). #### Purpose of the Diagram: This diagram can be used to illustrate the properties of the circle and sectors, as well as to solve problems involving algebraic expressions related to the angles and arcs of a circle. For example, by using the fact that the angles around the center sum to 360°, one can set up equations to solve for the value of \(x\), ensuring a deeper understanding of both geometry and algebra.
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