At a carnival game, you randomly throw two darts at the board and break two balloons out of 15. what is the probability that both the balloons you break are purple? write your answer as a fraction or percent rounded to the nearest tenth. (3 red, 4 blue, 2 green, 2 yellow, 4 purple)

the graph on the bottom right

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 .