The figure shown is a square with a triangular hole cut into one side. The ratio of the height h of the triangle to a side length of the square is 9 to 10. The ratio of the base b of the triangle to the side length of the square is 1 to 2. If the area of the square is 100 square inches, what is the area of the shaded part of the square?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.

Are the corresponding angles congruent? explain why or why not.