∆abc has vertices at a(11, 6), b(5, 6), and c(5, 17).
∆xyz has vertices at x(-10, 5), y(-12, -2), and z(-4, 15).
∆mno has vertices at m(-9, -4), n(-3, -4), and o(-3, -15).
∆jkl has vertices at j(17, -2), k(12, -2), and l(12, 7).
∆pqr has vertices at p(12, 3), q(12, -2), and r(3, -2).
can be shown to be congruent by a sequence of reflections and translations. can be shown to be congruent by a single rotation.

In the 30-60-90 triangle below side s has a length of and side r has a length

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

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.