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Mathematics
Bifinley:

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram. Part A: Identify a pair of similar triangles. Part B: Explain how you know the triangles from Part A are similar. Part C: Find the distance from B to E and from P to E. Show your work

Bifinley:

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surjithayer:

\[\Delta BGC ~and \Delta ~BEP~are~similar.\] B. \[\angle GBC = \angle EBP (vertically~opposite~angles)\] \[\angle~GCB=\angle~EPB(alternate~angles)\] \[\angle~CGB=\angle PEB(alternate~angles)\] so triangles are similar (AAA=AAA) C. \[\frac{ CB }{ PB }=\frac{ GB }{ EB }=\frac{ CG }{ PE}\] \[\frac{ 300 }{ 200 }=\frac{ 400 }{ EB }=\frac{ 350 }{ PE }\] 300EB=400*200 EB=800/3 300PE=350*200 PE=700/3

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