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4. Explain why pentagons cannot form a regular tessellation.

4. Explain why pentagons cannot form a regular tessellation.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Explain why pentagons cannot form a regular tessellation. 5. Sigrid is building a hexagonal gazebo. The gazebo is to be 10 feet across the diagonals. a. How long is each edge of the gazebo? b. What are the interior angles of the outside edges and the central angles? 6. A land surveyor surveys a property and plots the following angles on the plan shown below. Has the surveyor done the work correctly? How do you know? 98° 91° 138° 130° 120 146° Page 5 of 5
Transcribed Image Text:4. Explain why pentagons cannot form a regular tessellation. 5. Sigrid is building a hexagonal gazebo. The gazebo is to be 10 feet across the diagonals. a. How long is each edge of the gazebo? b. What are the interior angles of the outside edges and the central angles? 6. A land surveyor surveys a property and plots the following angles on the plan shown below. Has the surveyor done the work correctly? How do you know? 98° 91° 138° 130° 120 146° Page 5 of 5
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