Aroha observes that when she dilates a polygon from a center of dilation outside the polygon, the corresponding sides of the original figure and its dilated image are parallel. Which statement best explains why this occurs?

A dilated image is always similar to the original figure.

A dilated image is always smaller than the original figure.

A dilated image has the same orientation as the original figure.

A dilated image is always larger than the original figure.

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.

What is the simplified form of square root of 400 to the 100th power ?