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.

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.

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.