The student council at spend too much high school is planning a school dance. the table below shows the budget for the dance. school dance budget item funds raised expenses dance tickets $300 dj denny $-250 decorations $-100 what is the student council's expected profit?

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

In the following diagram it is given that dec, ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?