Astudent writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle abc below is equal to the measure of the exterior angle.

step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)
step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
step 3: therefore, m∠m + m∠n + m∠o = m∠o + m∠p
step 4: so, m∠m + m∠n = m∠p

in which step did the student first make a mistake and how can it be corrected?

step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to