A runner can run 3 miles in 18 minutes. At this rate, how many miles can he run in 54 minutes?
6
9
12
I
18

9 miles

Step-by-step explanation:

54 divided by 18

=

3.

3 x 3 (miles per 18 min)

=

9 miles

9 miles in 54 minutes

Step-by-step explanation:

Create proportions

Do it miles:minutes

In this case it would be

3:18

Then divide both sides of the proportion by three to get

1 : 6

or the statement "It takes the runner 6 minutes to run a mile."

Now create another proportion

x: 54

If he can run a mile in 6 minutes,

he can run x miles in 54 minutes.

In this case divide 54 and 6 to get 9 miles in 54 minutes.

Hope this helps!

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