ΔLMO below is similar to ΔPNO. If LO = 18 ft, PO = 9 ft, and PN = 5 ft, what is the length of LM? What is the scale factor of ΔOMO to ΔPNO?

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?

If using the method of completing the square to solve the quadratic equation x 2 + 16 x + 24 = 0 x 2 +16x+24=0, which number would have to be added to "complete the square"?

Ms. aniston asked seven students in her class to collect pet food cans for a local animal shelter. the dot plot shows the number of food cans collected by each student. each dot represents one student. what is the median of the data set? a. 6 b. 9 c. 7 d. 8