The scale on a map is 1cm : 4 km. if two cities are 14 cm apart on the map, what is the actual distance between the cities?​

The actual distance is 56

Step-by-step explanation:

set up a proportion

1cm              14cm

          =

4km              x

cross multiply 56=x

so the actual distance is 56 km im pretty sure :)

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°