Darla and dave leave school each day at 2: 00 p. m. on their bikes and travel in opposite directions. if darla rides at a constant rate of 12 kilometers per hour and dave rides at a constant rate of 14 kilometers per hour, after how many hours are they 65 kilometers apart?

a 1.25
b. 2.5
c. 5
d. 6.5

2.5 hours

Step-by-step explanation:

12 + 14 = 26

65 / 26 = 2.5

Hope this helps you! :)

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 .