How do you prove each of the following properties of a parallelogram? o Opposite sides of a parallelogram are congruent.
o Opposite angles of a parallelogram are congruent.
o The diagonals of a parallelogram bisect each other.
o If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
o Rectangles are special parallelograms with congruent diagonals.

Find the multiplicative inverse of 8-12i

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

Common binomial factor of 6x(3x+7)+5(3x+7)