A support wire is tied diagonally from the middle of a tree to a stake on the ground. The
length of the wire is 10 ft and the angle of
elevation from the stake is 55°. Approximately
how high on the tree is the connection point of
the wire?

1. are the triangles similar and if so why? what is the value of x? show your work.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

What is the the greatest common factor ?