What is the total surface area of this rectangular prism? (L × W) + (L × W) + (L × W) + (L × H) + (H × W) + (H × W) (L × W) + (L × W) + (L × H) + (L × H) + (H × W) + (H × W) (L × W) + (L × W) + (L × H) + (L × H) + (L × H) + (H × W) (L × W) + (L × W) + (L × H) + (H × W) + (H × W) + (H × W)

Match each expression with its simplified form.

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?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.