Draw a parallelogram with the shorter diagonal measuring 4 feet. The shorter diagonal divides the parallelogram into 2 congruent right triangles. The measure of the short edge of the parallelogram is x and the measure of the long edge of the parallelogram is 2x. The measure of the smallest angle of the right triangles is 4y-6 and the measure of the complementary angle of the triangles (which is also one of the vertex angles of the parallelogram) is 6y+6. What are the values of x and y? (Round any irrational values to the nearest hundredth.)

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?