GRE Math Exam Solution Question Fully Solved.

The sum of the angles in a quadrilateral is - correct answer 360° Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical) - correct answer n-2 The sum of the measures of the n angles in a polygon with n sides - correct answer (n-2) x 180 In any polygon, all external angles equal up to - correct answer 360° If you measure all exterior angles in a polygon, they all equal - correct answer 360° In any Regular Polygon, the measure of each interior angle - correct answer (n-2)x180/n In a Regular Polygon, the measure of each exterior angle - correct answer 360/n The consecutive angles in a parallelogram equal - correct answer 180° A quadrilateral where two diagonals bisect each other - correct answer Parallelogram In a rectangle, all angles are - correct answer Right In a Rectangle, each angles measures - correct answer 90° Each diagonal divides a square into 2 - correct answer 45 45 90 Right triangles (x, x, x*square root of 2) What kind of trapezoid has equal parallel sides? - correct answer Isosceles Trapezoid The Perimeter of a rectangle - correct answer P=2(l+w) The Perimeter of a Square - correct answer P=4s (s=side) Area of a Parallelogram: - correct answer A=(base)(height) Area of a Rectangle: - correct answer A=(side)² or A=½(diagonal)² Area of a Trapezoid: - correct answer A=½(base₁+base₂)(height) For any given perimeter, the rectangle with the largest AREA is a - correct answer Square (versus a rectangle) For any given Area, the rectangle with the smallest perimeter is a - correct answer Square (versus a rectangle) (x-y)(x+y) - correct answer x²-y² (x-y)² - correct answer x²-2xy+y² (x+y)² - correct answer x²+2xy+y² An Angle that's 180° - correct answer Straight Angle The sum of all angles around a point - correct answer 360° If one of the angles formed by an intersection is right, they're all right - correct answer True If a pair of parallel lines is cut by a transversal that's not perpendicular, the sum of any acute angle and any obtuse angle is - correct answer 180 Distance - correct answer (rate)(time) d=rt Rate - correct answer d/t (distance)/(time) Time - correct answer (distance)/(rate) d/r Average - correct answer Sum/n Sum of numbers in an average - correct answer n/Average The total deviation below the average is equal to - correct answer The total deviation above the average (80, 90, 90, 90, 100) Assume that the average of a set of numbers is A. If a number x is added to the set and a new average is calculated, then the new average will be less than, equal to, or greater than A, depending on whether x is less than, equal to , or greater than A, respectfully. - correct answer 1+2+3/3=2 1+2+3+4/4=10/4=2.5 If "n" is even, the average of the numbers is the average of what? - correct answer The middle two terms (10, 20, 30, 40, 50, 60) 30+40/2=35 To calculate the weighted average: Multiply each number in the set by the number of times it appears, add all the products, and divide by the total number of numbers in the set. - correct answer ... In a set of n numbers that are arranged in increasing order, it is the middle number, if n is odd or the average of the middle two if it is even. - correct answer