Below is a map of yellowstone park. the scale for the map is 1cm = 25 miles.

mrs. fowler went on a trip from old faithful to canyon.

what is the actual distance from old faithful to canyon in miles?

a 5 miles

b 62.5 miles

c 15 miles

d 75 miles

Option D. 75 miles

Step-by-step explanation:

Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of .

This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as . So similarly we do not need to do extra ratio conversions.

Thus we know that if and she covered on the map, we can just multiply covered distance with the equivalency of in as follow:

Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (which is given in Option D.)

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)