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29) A baseball diamond's home plate has three right angles. The other two angles are congruent. Find their measure.

29) A baseball diamond's home plate has three right angles. The other two angles are congruent. Find their measure.

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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#29: please show work step for step including labeling picture
**Geometry and Measurement Problems** **Problem 29: Angle Measurements of a Baseball Diamond Home Plate** A baseball diamond’s home plate has three right angles. The other two angles are congruent. Find their measure. *Hint: x + x + 90 + 90 + 90 = sum of interior angles* *Diagram Description:* The diagram shows a pentagonal shape representing a baseball home plate. It visually indicates that three of the angles are right angles. **Real-World Application: Cereal Box Designs** A cereal company wants to change the shape of its cereal box to attract the attention of shoppers. The original cereal box has dimensions of 8 inches × 3 inches × 11 inches. The new box the cereal company is considering has dimensions of 10 inches × 10 inches × 3 inches. **Question 31:** Which box holds more cereal? **Question 32:** Which box requires more materials to make? *Note: Calculations should be shown for both the volume of the boxes and the surface area to determine the answers to the questions.*
Transcribed Image Text:**Geometry and Measurement Problems** **Problem 29: Angle Measurements of a Baseball Diamond Home Plate** A baseball diamond’s home plate has three right angles. The other two angles are congruent. Find their measure. *Hint: x + x + 90 + 90 + 90 = sum of interior angles* *Diagram Description:* The diagram shows a pentagonal shape representing a baseball home plate. It visually indicates that three of the angles are right angles. **Real-World Application: Cereal Box Designs** A cereal company wants to change the shape of its cereal box to attract the attention of shoppers. The original cereal box has dimensions of 8 inches × 3 inches × 11 inches. The new box the cereal company is considering has dimensions of 10 inches × 10 inches × 3 inches. **Question 31:** Which box holds more cereal? **Question 32:** Which box requires more materials to make? *Note: Calculations should be shown for both the volume of the boxes and the surface area to determine the answers to the questions.*
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