ABCD is a parallelogram and E is the midpoint of side BC. When DE and AB are extended, they meet at point F. If AB = 11 cm and AD = 5 cm, find the measure of AF.
The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 1 minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a,b,a,b,a,b, and c,c,c, find the area of the triangle.
There are 3 books belonging to 3 students. The books were put into a box, and each student pulls out a book one after the other. What is the probability that each student gets his or her own book?
ABCD is a square. Two arcs are drawn with A and B as centers, and radius equal to the side of square. If arcs intersects at point E, find the angle ∠ACE.