Mathematics
26.01.2023 13:12
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The diagram below models the layout at a carnival where G, R, P, C, B, and E are

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. Parallelogram GRPC with point B between C and P forming triangle GCB where GC equals 400 ft, CB equals 350 ft, and GB equals 450 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 250 ft.

Part A: Identify a pair of similar triangles. (2 points)

Part B: Explain how you know the triangles from Part A are similar. (4 points)

Part C: Find the distance from B to E and from P to E. Show your work. (4 points)
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dave9811
dave9811
4,8(71 marks)

x=90-54=36 (90 because it is right angle and it is given)

bod=180-156=24 (supplementary angles)

bod=aoc=24 (vertical angles)

cod=180 (straight angle)

cod=aoc+y+fog+2y=180

24+y+90+2y=180

3y=180-90-24

3y=66 (divide by 3)

y=66/3=22

y=22

so x=36 and y=22

Step-by-step explanation:

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