If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true? triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are similar

2a+7+4ahow many terms? how many variables? any like terms? yes noif yes, which ones? what are the coefficients? any constants? yes noif yes, which ones? simplify the expression by combining like terms and constants: how many terms now?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Onnie is considering doing some long term investing with money that she inherited. she would like to have $50,000 at the end of 30 years. approximately how much money would lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal?