APQR is dilated from the origin at a scale factor of to create AP'Q'R'. Select the option that completes the statement:
The triangles are___
because their corresponding sides are___
and their corresponding angles are.

-congruent; similar; proportional
-congruent, proportional; similar
-similar, congruent; proportional
-similar proportional: congruent

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of florida was approximately two times the population of california. b. the population of florida was approximately twenty times the population of california. c. the population of california was approximately twenty times the population of florida. d. the population of california was approximately two times the population of florida.

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?