She had to pay a flat fee of $2.05 plus $0.90 per mile . the total coat was $5.65 how many miles was the taxi trip?

4 miles

Step-by-step explanation:

If you subtract 2.05 with 5.65 it will get 3.60. you then divide that by 0.90 and you'll get the final answer of 4 miles

OR

2.05 + 0.90m = 5.65

0.90m = 5.65 - 2.05

0.90m = 3.60

m = 3.60 / 0.90

m = 4 <=== the taxi trip was 4 miles

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

it is rigid.; it is isometric. ; the size is preserved.

step-by-step explanation:

a translation is called an isometry; these are transformations that preserve congruence between pre-images and images.

they are also called rigid transformations, as the only thing that can happen to a pre-image is that it is moved or turned, not stretched or shrunk.

since congruence is preserved, the size is preserved.