Collins has a part-time job as a dog walker. the table below shows the amount of money collins earned for different numbers of hours of work:

collins' earnings from dog walking
number of hours worked money earned (dollars)
5 30
6 36
8
66

part a: what are the missing numbers in the table? show your work. (4 points)

part b: collins also does part-time yard work. the ratio of the number of hours collins works to the money he earns in dollars is 1: 7. create a table to show the money earned by collins for 5, 6, and 8 hours of doing yard work. (3 points)

part c: how many more dollars does collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? (3 points)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it