Triangle rst was dilated by a scale factor of one-half. the image, triangle r's't', is an isosceles triangle, with each leg measuring 8 units.
point q is the center of dilation. isosceles triangle r s t was dilated to smaller triangle r prime s prime t prime. sides r s and r t are 8 units long.
what is the length of a leg of the pre-image, triangle rst?
4 units
8 units
16 units
20 units

Evaluate the following expression 1/3^2

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

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.