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 375 ft, CB equals 325 ft, and GB equals 425 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 225 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)

The similar triangles are and

and

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are and

Solving (b): Why they are similar

Both triangles are similar because is dilated (i.e. enlarged) and then reflected to give .

Solving (c): Calculate BE and PE

The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450

-- approximated

Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400

my answer got deleted but it's a

step-by-step explanation:

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7