Joseph took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2 per mile. The total fare was $21.10, not including the tip. Write and solve an equation that can be used to determine mm, the number of miles in the taxi ride.

geometry: triangles

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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

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0