While staying in Rome, Italy, you decide to take a trip to three other cities: Milan, Genoa, and Padua. The following table details the costs of traveling to and from each city. All costs given are in euros (€). Origin and Destination Cost (€) Rome to Milan 71 Rome to Genoa 52 Rome to Padua 61 Milan to Rome 74 Milan to Genoa 59 Milan to Padua 68 Genoa to Rome 76 Genoa to Milan 56 Genoa to Padua 58 Padua to Rome 68 Padua to Milan 67 Padua to Genoa 54 Determine the cost of the most efficient route. You may visit the cities in any order, but you must start and end in Rome. a. €256 b. €251 c. €244 d. €238

To prove p is equal to q using an indirect proof what would your starting assumption be?

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.