For the points ^@ A(67, -87), ^@ ^@ B(-35, 9), ^@ ^@ C(-86, 96), ^@ and ^@ D(93, 33), ^@ find the value of ^@ (\text{abscissa } C) ^@^@+ (\text{abscissa } B) ^@^@+ (\text{abscissa } D) ^@^@- (\text{abscissa } A) ^@.
The diagonals of a parallelogram ABCD intersect at O. A line through O intersect AB at X and DC at Y. if AB = 12 cm, AD = 8 cm, and OX = 5 cm, find the length of OY.
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.
The area of a trapezium is 299 cm2 and the distance between its parallel sides is 13 cm. If one of the parallel sides is of length 17 cm, find the length of the other side.
From among a group of 3 men, 5 women and 4 children, 2 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children?
The diagonals of a parallelogram ABCD intersect at O. A line through O intersect AB at X and DC at Y. if AB = 10 cm, AD = 5 cm, and OX = 3 cm, find the length of OY.