Two towns that are 31.5 km apart are 3 cm apart on a map. what is the scale of the map?
1 cm = 9.5 km
2 cm = 21 km
2 cm = 18 km
1 cm = 29.5 km

2 cm = 21 km

Step-by-step explanation:

2 cm = 21 km

This is why

3cm = 31.5 km

3/3 = 31.5/3 (To find out how much 1 cm is equal to)

1 cm = 10.5 km

And since 1 cm = 10.5 km is not there in the options... I tried to find out for 2 cm

So, I multiplied both sides by 2

1 cm = 10.5 km

1 *2 = 10.5 *2

So the answer become 2 cm = 21 km

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

explanation:

step-by-step explanation: