Asked by unknown
Question:Use the image to answer the question.$\triangle ABC \cong \triangle EDC$ and $C$ is the midpoint of $\overline{AE}$ and $\overline{DB}$. If Boat A is 5 miles from Boat B, and Boat A is 30 miles from an object at point $E$, then what is the length of $\overline{DB}$ to the nearest mile?(1 point)Multiple Choice Options (Responses)( ) $28$ miles( ) $12$ miles( ) $14$ miles( ) $25$ miles
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 25 miles.
Reason: C is the midpoint of AE so AC = CE = 15. Triangle EDC is the 180° rotation (reflection) of triangle ABC about C, so D is the reflection of B across C and DB = 2·BC. Solving the triangle relations gives BC = 12.5, hence DB = 2(12.5) = 25 miles.
Reason: C is the midpoint of AE so AC = CE = 15. Triangle EDC is the 180° rotation (reflection) of triangle ABC about C, so D is the reflection of B across C and DB = 2·BC. Solving the triangle relations gives BC = 12.5, hence DB = 2(12.5) = 25 miles.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.