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?

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Evaluate cos2θ for cosθ = square root of 3/2

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.