The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles. Circles A and B overlap. Circle A contains 12, Circle B contains 6, and the overlap contains 8. Number 3 is outside of the circles. How many of the parallelograms fall into the category A U B?

What is the perimeter of square abcd? units units 28 units 37 units

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?