the two triangles can be shown to be similar by performing transformations. first, ∆abc is rotated 180° around point a. then ∆a'b'c' is dilated by a factor of k units with a center of dilation at point a. finally, ∆a'' b'' c'' is translated p units to the right and q units down to map onto ∆cde.

what are the values of k, p, and q?

If you are trying to move an attached term across the equal sign (=), what operation would you use to move it?

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

William invested $5000 in an account that earns 3.8% interest, compounded annually. the formula for compound interest is a(t) = p(1 + i)t. how much did william have in the account after 6 years? (apex)