A. [XY] is a line segment 5 cm long. At X an arc is drawn to cut [XY] at A. Keeping the same radius another arc is drawn with centre A to cut the first arc at B. [AB] and [BX] are the joined by straight line segments. Explain why triangle ABX is equilateral. b. What is the size of angles AXB?

c. Perform the construction in a. Use it to construct angles of size:
i. 30° ii. 15°

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.

Suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet.

How can (square root of 25) ^2 be rewritten?