Dog (3.17 in a certain community, 36 percent of the families
own a dog and 22 percent of the families that own a
also own a cat. In addition, 30 percent of the families own
a cat. What is
(a) the probability that a randomly selected family owns
both a dog and a cat?
(b) the conditional probability that a randomly selected
family owns a dog given that it owns a cat?

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .