can someone make sure my answers are right? (photo attached) about 3 questions, 10 points (proofs and quads)

The median am of triangle ∆abc is half the length of the side towards which it is drawn, bc . prove that triangle ∆abc is a right triangle, and find angle mac and abm

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two

Paul can type 60 words per minute and jennifer can type 80 words per minutes.how does paul's typing speed compare to jennifer's