How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof?

• Triangle Sum Theorem
• Triangle Inequality Theorem
• Isosceles Triangle Theorem
• Converse of the Isosceles Triangle Theorem
• Midsegment of a Triangle Theorem
• Concurrency of Medians Theorem

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?

Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match each set of vertices with the type of quadrilateral they form.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.