a Show how Pip can complete the circuit by adding less than 120 cm oftrack.b Show how Pip can complete the circuit by adding more than 270 cmof track.c Explain why, no matter how the circuit is completed, Pip must placean even number of additional curved plates.d Explain why, no matter how the circuit is completed, Pip must placean odd number of additional straight plates. 20 cmPip is building model car racing tracks using a large supply of the twotypes of square plate shown. Ignoring the tabs and slots where platesare snapped together, both types measure 20 cm x 20 cm. In the firsttype, the track is a straight line joining the middles of opposite sides. Inthe second, the track is a quarter circle joining the middles of adjacentsides. Plates can be snapped together in any orientation, as long as thetrack is continuous.II20 cm20 cmPip wants to complete the track shown below but, because there is lim-ited space, additional plates can only be put in the 4 x 4 grid indicatedby dotted lines.2 (Rejected(Rejec

Since you have posted multiple questions, we will solve first three question for you. Kindly repost…

a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can complete the circuit by adding more than 270 cm of track. c Explain why, no matter how the circuit is completed, Pip must place an even number of additional curved plates. d Explain why, no matter how the circuit is completed, Pip must place an odd number of additional straight plates.

a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can complete the circuit by adding more than 270 cm of track. c Explain why, no matter how the circuit is completed, Pip must place an even number of additional curved plates. d Explain why, no matter how the circuit is completed, Pip must place an odd number of additional straight plates.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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