Given T(-2,4,7) and M(-3,5,2) find the ordered triple that represents Tm. Then find the magnitude of TM

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

Are the corresponding angles congruent? explain why or why not.

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )