In the diagram below of triangle DEF, GG is a midpoint of DE and HH is a midpoint of EF . If GH=4x+2, and DF=2x+28, what is the measure of DFDF?

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.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Triangles abd and ace are similar right triangles. witch ratio best explains why the slope of ab is the same as the slope of ac?