If the sum of the interior angles of a regular polygon is 2,520°, how many sides does the polygon have?
Formula: 180(n-2)
16
BONUS 100 POINTS: What is a 6-sided figure called?
What are the coordinates of the image of triangle ABC with vertices A (4, -4), B (-3, 8), and C (-1, 0) after a dilation of 2.5 about the origin?
A’ (10, -10), B’ (-7.5, 20), and C' (-2.5, 0)
What is the equivalent value to cos(59)?
A. Sin(59)
B. Cos(31)
C. Sin(31)
D. Tan(59)
E. Tan(31)
C
Calculate the measure of angle LNM.
angle LNM = 54
Calculate the volume of a cone with a diameter of 7 ft and a height of 12 ft. Use 3.14 for pi.
V = 1/3 *pi*r^2*h
V = 153.86 ft3
Rectangle ABCD has diagonals AC and BD that interest at point E. Given the measures in the figure, what is the length of BD?
BD = 34
What is the value of x?
X = 9
Calculate the value of x. Round to the nearest tenths place if needed.
x = 38.7o
State the equation of a circle with a center of (-2, 4) and a radius of 8 in simplest form.
(x+2)^2+(y-4)^2=64
Point P is 1/4 of the way from A (-1, 2) to B (7, 8). What is the coordinate point of P?
P = (1, 3.5)
What shape is created by the points A (0, 4), B (4, 0), C (0, -3), and D (-4, 0)?
State the figure's name and at least two properties of the figure.
Kite
1. 2 sets of congruent sides
2. 1 set of congruent angles
Calculate the value of x and state the scale factor used to go from the smaller triangle to the larger triangle.
x = 12
k = 2.5
Calculate the value of x. Round to the nearest tenths place if needed.
x = 27.5
Calculate the measure of arc DG.
arc DG = 13o
What are the shapes of the perpendicular cross sections of a square pyramid?
Triangle and Trapezoid
Given the regular pentagon, what is the value of x?
x = 11
What is the value of x?
x = 13
Dylan leaned a 13 ft ladder against his house to fix the gutters. If the angle formed by the ladder and the ground is 68°, how far from the base of the house is the bottom of the ladder? Round to the tenths place if needed.
4.9 ft
Calculate the circumference of a circle whose area is 200.96 m3. Use 3.14 for pi.
C = 50.24 m
Marcy built a snowman's head that measures 24 inches across with a cylindrical top hat that has the same width across, but stands 14 inches tall. Calculate the total volume of the snowman's head and his hat. Use 3.14 for pi.
V = 4/3*pi*r^3
V=pi*r^2*h
V = 13, 564.8 in3
Rhombus ABCD has diagonals AC and BD that intersect at E. If AC = 18, and BD = 24, what is the length of one side of the rhombus?
One side is 15.
BONUS 100 Points: If one side is 15, what is the perimeter of rhombus ABCD?
A triangle with area 10 cm2 is dilated with a scale factor of 3. What is the area of the image, in square centimeters?
90 cm2
A wire is attached at the top of a 30 ft telephone pole and is staked in the ground. If the angle formed by the wire and the pole is 48o, what is the distance from the bottom of the pole to the stake? Round to the nearest tenths place if needed.
33.3 ft
What is the measure of angle BEC?
77o
What is the volume of the composite figure? Use 3.14 for pi and round to the hundredths place if needed.
V = 334.93 cm3