A bicyclist rides 12 miles in 132 minutes. If she continues at this speed, how long will it take her to travel 66 miles? a
24 minutes
b
77 minutes
c
660 minutes
d
726 minutes

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

a

step-by-step explanation:

one peck is 9.309 quarts

9.309x 2

the ratios are reciprocals im positive

step-by-step explanation:

they are all positive numbers so it wouldn't be the other ones