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Each student in a class of 40 plays at least one indoor game:chess, play station and scrabble.18 play chess,20 play scrabble and 27 play, play station.7 play chess and scrabble,12 play scrabble and play station and 4 play chess, play station and scrabble. Find the number of students who play chess, and play station. Chess, play station but not scrabble.

go to urmom.com for the answer :O)

Step-by-step explanation:

hhh- u just got roasted

geometry: triangles

solvers

lessons

answers archive

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