Two circles overlap. A, B and E lie on the circle, centre O. B, C, D and E lie on the other circle. AOBC and AED are straight lines. CD = CE angle BAE = x Find an expression for angle DCE.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

21 type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the solution set of n2 - 14n = -45 is { (separate the solutions with a comma)

Use the zero product property to find the solutions to the equation (x+2)(x+3)=12