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Tell whether the angle is acute, right, obtuse or straight.

Straight Angle

Tell whether the angle is acute, right, obtuse or straight.

Determine whether the polygon is concave or convex.

Concave

What is the measure of angle Z in the triangle below?

71 o

An isosceles triangle has an angle with a measure of 34 o. What is the largest possible measure of the remaining angles?

112 o

Determine whether one- point or two-point perspective is used in the drawing.

Describe the type of perspective used in the drawing on the next screen: Atmospheric, overlapping images, or diminishing sizes?

Diminishing sizes

A series of utility poles of the same size are a part of a one-point perspective drawing. Suppose the second utility pole in the drawing is 3.2 cm. tall and 1.6 cm. from the vanishing point. The distance between the utility poles is 4 cm. Use the proportion for a line of congruent objects to determine the height of the first utility pole.

x

11.2 cm

An artist is using a one-point perspective to draw a line of Boeing 767 airliners parked along a runway. The first Boeing 767 in the line is to be 9 cm tall, and the last Boeing 767 is to be 1.6 cm tall. If the last Boeing 767 is drawn 7 cm from the vanishing point, how far from the last Boeing 767 should he draw the first Boeing 767 airliner?

cm

Give the approximate value for the Golden Ratio. ________: 1

1.62

Determine a point on a 28 inch ruler that divides the ruler into the Golden Ratio.

17.3 inches

One dimension of a rectangle is 26 inches. If this rectangle is a Golden Rectangle, which of the following could be an approximation of the other dimension (in inches) of the rectangle? in., in., or in.

If the width of a Golden Rectangle is 6 feet, what is its length?

9.68 feet

If the length of a Golden Rectangle is 6 feet, what is its width?

What is the sum of the angle measures of a triangle?

180 o

Find the sum of the angle measures of a regular pentagon.

540 o

Find the measure of each angle of a regular pentagon.

108 o

If the measure of one exterior angle of a polygon is 18 o, then this regular polygon has how many sides?

20

Determine the smallest value for n in a regular n-gon, where n is a whole number.

3

Use the Upper Bound Theorem to determine which of the following is a good upper bound for f(x) = x 4 + x 3 – 7x 2 – 5x , 3, 4, or 5

Find all roots of the equation. Hint: -2i is one root. x 4 – 21x 2 – 100 = 0

Write the polynomial function as a product of linear factors. f(x) = x 4 – 3x 2 – 4

f(x)= (x – 2)(x + 2)(x – i)(x + i)

Factor completely. f(x) = x 3 + 4x 2 – x - 4

f(x)= (x – 1)(x + 1)(x + 4)

Give an equation for the polynomial function that has zeros of 2, -2, and 3 and has a degree of 3.

f(x)= (x – 2)(x + 2)(x – 3) Other answers are possible.

Solve the inequality and give your solution in interval notation. (x – 3)(x + 2) > 0

(-∞, -2) or (3, ∞)

Solve the inequality and give your solution in interval notation. x 2 + 3x – 18 > 0

(-∞, -6) or (3, ∞)

Solve the inequality and give your solution in interval notation. x 2 – 2x – 24 < 0

(-4, 6)

Solve the inequality and give your solution in interval notation. x 2 – 3x – 10 < 0

[-2, 5]

Solve the inequality and give your solution in interval notation. x 2 + 6x < – 8

[-4, -2]

-10 < x < < y < 60

y = (x – 2) 2 (x + 3) 2