Adam must fly home to City a from a business meeting in city B. One flight option flies directly from city b to city a a distance of 463 miles. A second flight option flies first to city c and then connects to a. The bearing from B to c is North 29.9° east and the bearing from B to A is South 64° west in the bearing from a to see is North 78.5° west. How many more frequent flyer miles for Adam receive if he takes the connecting flight rather than the direct flight?

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.