simegustachocolate
01.11.2019 •
Mathematics
Find the x- and y-intercepts of the graph of the function
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Ответ:
Answers and Step-by-step explanations:
A.
One pair of similar triangles are ΔGBC and ΔEBP.
B.
∠GBC and ∠EBP are vertical angles, so by definition, they are congruent. We also know that since GRPC is a parallelogram, then opposite sides are parallel, so GC ║ RE. Then, since GE is a transversal of these two lines, ∠CGB and ∠PEB are alternate interior angles. By definition, they are congruent.
Thus, by the Angle-Angle Similarity Theorem, ΔGBC ~ ΔEBP.
C.
Similar triangles have the property that corresponding sides have the same ratio. Here, GB corresponds to EB, BC corresponds with BP, and GC corresponds to EP.
We know that BC / BP = 350 / 250. So, this ratio is equivalent to GB / EB and GC / EP:
GB/EB = GC/EP = 350/250
GB = 450 and GC = 400, so:
450/EB = 400/EP = 350/250
Solve for EB and EP separately:
450/EB = 350/250
350EB = 112500
EB = 2250/7 ft
400/EP = 350/250
350EP = 100000
EP = 2000/7 ft