Michael has a collection of 1,404 sports cards. he hopes to sell the collection in packs of 36 cards and make $633.75 when all the packs are sold. if each pack is priced the same, how much should michael charge per pack

step-by-step explanation:

3024 rhe base is what up in worry about

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