a store bought a mystery game at a cost of $5.60 and marked it up 150%. scarlett bought it and paid 12.5% sales tax. what was her total cost?

9.10

Step-by-step explanation:

5.60 + 2.80 + .70 = 9.10

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