Enter the missing numbers in the boxes to complete the table of equivalent ratios
time(min)
?
6
?
15
distance(km)
6
18
24
?

Time(min)  

2

6

8

15

Distance(km)

6

18

24

45

Step-by-step explanation:

the time is 1/3rd of the distance. it's a 1:3 ratio

geometry: triangles

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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