Answer:
The actual distance is 127 miles.
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
![x\ miles.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6aqvp7qnf4lg5c78nuhg68360mlg8qkc2u.png)
And the distance on map is 6.35 cm.
So, 6.35 cm is equivalent to
![x\ miles.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6aqvp7qnf4lg5c78nuhg68360mlg8qkc2u.png)
And as given on the scale 1 cm is equivalent to 20 miles.
Now, to get the actual distance by using cross multiplication method:
![(6.35)/(x) =(1)/(20)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bjzcl241aml2bi7bk31b5ca0xjjinkw6pj.png)
By using cross multiplication we get:
⇒
![127=x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3f1767kiwn42rclkbp2wwowu6n7ktc8d1d.png)
⇒
![x=127\ miles.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5t8t4ci2ewl8aazt3gbngicczaej67lk78.png)
Therefore, the actual distance is 127 miles.