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1 a) Name the Polygon b) Is the polygon convex or concave?

1 a) Name the Polygon b) Is the polygon convex or concave?

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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1 a) Name the Polygon *The diagram shows a four-sided shape with two parallel sides, indicating a trapezoid.* b) Is the polygon convex or concave? *The polygon is convex because all its interior angles are less than 180 degrees, and no vertices point inward.*
Transcribed Image Text:1 a) Name the Polygon *The diagram shows a four-sided shape with two parallel sides, indicating a trapezoid.* b) Is the polygon convex or concave? *The polygon is convex because all its interior angles are less than 180 degrees, and no vertices point inward.*
**Problem 3: Use each diagram to find the value of x.** **Diagram a:** This diagram shows two intersecting lines forming vertical angles. The angles are labeled as \(79^\circ\) and \((5x + 4)^\circ\). To find the value of \(x\), use the property that vertical angles are equal: \[ 79 = 5x + 4. \] **Diagram b:** This diagram shows another set of intersecting lines creating vertical angles labeled as \((x - 13)^\circ\) and \(155^\circ\). Again, using the property that vertical angles are equal: \[ x - 13 = 155. \]
Transcribed Image Text:**Problem 3: Use each diagram to find the value of x.** **Diagram a:** This diagram shows two intersecting lines forming vertical angles. The angles are labeled as \(79^\circ\) and \((5x + 4)^\circ\). To find the value of \(x\), use the property that vertical angles are equal: \[ 79 = 5x + 4. \] **Diagram b:** This diagram shows another set of intersecting lines creating vertical angles labeled as \((x - 13)^\circ\) and \(155^\circ\). Again, using the property that vertical angles are equal: \[ x - 13 = 155. \]
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