Respuesta :

Answer:

1 cm : 40 km.

Step-by-step explanation:

We are asked to find the scale factor of a map, when 3 cm on the map correspond to 120 km in the actual distance.

To find scale of the map, we will divide actual distance by distance on map as:

[tex]\frac{\text{ 120 km}}{\text{3 cm}}=\frac{\text{40 km}}{\text{cm}}[/tex]

Since 1 cm on map corresponds to 40 km in the actual distance, therefore, the scale is 1 cm : 40 km.

The scale is 1 cm : 40km

The map is a scale drawing

A scale drawing is a reduced image of another image.

Scale of the map = dimensions of the scale drawing / dimensions of actual image

3cm /120 km

To simplify, divide both sides of the equation by 3

1 cm : 40km

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

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