Carter is preparing to take a big math test. For the three days before the test, he decides that he will study 10 minutes longer than he did the night before. He studies a total of an hour and a half. How long did he
study each day?

the answer is 14ft

step-by-step explanation:

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

98%

step-by-step explanation: