Wilson hiked 9 miles in 2 hours. At this same rate, what is the total number of miles Wilson could hike in 12 hours?

54 miles

Step-by-step explanation:

if you divide both the miles and hours, you would get 4.5 equals 1 hour, so multiply by 12 and you get 54!!

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

table 3 represents a direct variation function. : )