On a coordinate plane, kite U V W X with diagonals is shown. Point U is at (negative 2, 5), point V is at (5, 4), point W is at (8, negative 5), and point X is at (negative 1, negative 2). Prove that the diagonals of kite UVWX are perpendicular.

Step 1: Determine the slope of XV.

The slope of XV is
.

Step 2: Determine the slope of UW.

The slope of UW is
.

Step 3: The slopes of the diagonals are
.

The diagonals of kite UVWX are
.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

Find each value of the five-number summary for this set of data. [note: type your answers as numbers. do not round.] 46, 19, 38, 27, 12, 38, 51 minimum maximum median upper quartile lower quartile

Awindow has the shape of a rectangle with a semi circle at the top. find the approximate area of the window using the dimensions shown. 4ft by 8ft