In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC:DC = 4:1. Find the length of DC algebraically. Show your work below.​

Vinay constructed this spinner based on the population of teachers at his school according to vinays model what is the probability that he will have a male history teacher two years in a row

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! )

Evaluate f(x) when x = 3. f(x) = 16x? +2 if 6 < x < 9 112 if 9 x < 13 a: 110 b: 56 c: 74 d: 12