Carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. at any given time, t, the distance biked can be calculated using the formula d = rt, where d represents distance and r represents rate. if the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take carmen to bike home? 16 min 28 min 36 min 48 min

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.