The smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. can a 3 1/2 foot by 12 foot couch be placed against one of the long walls of the room without touching the carpet? can a 3 1/2 foot by 12 foot couch be placed against one of the short walls of the room without touching the carpet?

Kevin and randy muise have a jar containing 78 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $13.90. how many of each type of coin do they have?

Δabc is reflected across line l to form δ alblcl, and a¯¯¯al¯¯¯¯ intersects line l at point d. which equation is not necessarily true?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?