A student buys 10 notebooks and 10 pencils at the school store. Each notebook cost $2. The total cost is $30. Which equation can be used to find the cost, p, of each pencil?

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12475909

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

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

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