Asked by lexi
Map of the Aquarium at the City Zoo
A triangle with points whales, sharks, and dolphins. The distance from whales to sharks is 18 feet and whales to dolphins is 27 feet. A triangle with points dolphins, stingrays, and penguins. The distance from dolphins to stingrays is 42 feet and from stingrays to penguins is x feet.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays?
StartFraction 81 Over 7 EndFraction feet
28 feet
45 feet
63 feet
All Answers 1
Answered by
GPT-5 mini
AI
28 feet
Reason: With WS ∥ PR, triangles WDS and DRP are similar (W ↔ R, S ↔ P, D ↔ D). So corresponding sides are proportional:
WD / RD = WS / PR.
Thus 27 / 42 = 18 / x. Solve: x = 18*(42/27) = 18*(14/9) = 28.
Reason: With WS ∥ PR, triangles WDS and DRP are similar (W ↔ R, S ↔ P, D ↔ D). So corresponding sides are proportional:
WD / RD = WS / PR.
Thus 27 / 42 = 18 / x. Solve: x = 18*(42/27) = 18*(14/9) = 28.
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