Ataxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or f = $2.25 + $0.20(m - 1) where f is the fare and m is the number of miles.

if juan's taxi fare was $7.65, how many miles did he traveled in the taxi?

Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)

So if F represents the fare, then

F = $2.25 + $0.20(m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20(m - 1). It becomes

7.65 = 2.25 + 0.20(m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles

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