A regular dodecahedron is a polyhedron with twelve faces, each of which is a regular pentagon. A space diagonal of the dodecahedron is a line segment which joins two vertices of the dodecahedron which do not lie in the same face. How many space diagonals are there in the dodecahedron?

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