Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of in. to 25 mi. The road distance between her home town and her friend's town measures 12 in. on the map. If d represents the road distance between the two towns, what is d? A. 50 mi. B. 150 mi. C. 300 mi. D. 600 mi.

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step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the answer is d

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