Hannah works at Blooming Bouquets flower shop. She uses 2 roses for every 5 carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with 16 roses. How many carnations should Hannah use in the bouquet?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i

32a³b² 8ab² simplify the following expression.