On a map, the distance from los angeles to san diego is 6.35 cm. the scale is 1cm = 20 miles. what is the actual distance?

The actual distance is 127 miles.

Step-by-step explanation:

Given:

On a map, the distance from Los Angeles to San Diego is 6.35 cm.

The scale is 1 cm = 20 miles.

Now, to find the actual distance.

Let the actual distance be

And the distance on map is 6.35 cm.

So, 6.35 cm is equivalent to

And as given on the scale 1 cm is equivalent to 20 miles.

Now, to get the actual distance by using cross multiplication method:

By using cross multiplication we get:

⇒  

⇒  

Therefore, the actual distance is 127 miles.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option