Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?
A rectangle with length 3 cubed feet and width of 3 squared feet.
Find the area.
1. Multiply powers: 32 · 33
2. Expand each power: (3 · 3) · (3 · 3 · 3)
3. Simplify: 35

Complete each sentence.
The of the original exponent is the exponent in the power of product.
The dog pen has an area of square feet.

]supplementary angles are two angles that add up to . • complementary angles are two angles that add up to degrees. • adjacent angles share a and a • congruent angles have the measure. • an triangle has one angle that is greater than 90 degrees. • a triangle with angles 45°, 45°, and 90° would be a triangle

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.