Which pairs of angles are congruent because they are vertical angles? Check all that apply. 4 lines intersect to form 14 angles. Angles 14 and 12, 11 and 13, 10 and 8, and 7 and 9 are vertical angles.

Angle 1 and Angle 4
Angle 14 and Angle 12
Angle 7 and Angle 8
Angle 10 and Angle 8
Angle 3 and Angle 5
Angle 8 and Angle 12

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?

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Julie goes to the sports store and spends $40.50 before tax. she buys a pair of shorts for $21.75 and 3 pairs of socks that each cost the same amount. how much does each pair of socks cost? $$