True or false. a figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus.

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?