Joe is traveling from one city to another. He is looking at a map and realizes that 4 cm represents 25 miles. He then used a ruler to measure the distance on the map between two cities that he is traveling. The distance between them is 160 cm. How far, in miles are the two cities apart?

The two cities are 1,000 miles apart

Step-by-step explanation:

The key to solving this is in the scale given:

4cm represents 25 miles

4cm = 25 miles

∴ 1 cm = 25 ÷ 4 = 6.25 miles

Measured distance on map = 160cm

1 cm = 6.25 miles

∴ 160 cm = 160 × 6.25 = 1000 miles

∴ The two cities are 1,000 miles apart

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.