Adjacent angles are angles in the same plane that have a common vertex and a common side.
The scale of a drawing of a room is 2 cm: 5 m. If the drawing is 10 cm by 6 cm, what are the length and width of the original room?
25 meters by 15 meters
What shape would a cross section be if a cube was cut vertically?
Angle JKL and angle LKM are supplementary. If angle JKL is 42o, what is the measure of angle LKM?
138o
Joey cut a 10.5 foot rope into 6 pieces. How long was each piece?
1.75 feet
Define or draw a picture of complementary angles.
Complementary angles are two angles whose measure adds up to 90o.
The scale of a drawing of room is 3 in: 8 ft. What are the dimensions of the room if the drawing is 6.5 in by 5 in?
17.3 ft by 13.3 ft
What shape would a cross section be in a cylinder was cut vertically?
Rectangle
Angle RMS and SMQ are complementary. If angle RMS is 22o, what is the measure of angle SMQ?
68o
Patricia bought a new pair of shoes that cost $35. Sales tax is 7.5%. How much were Patricia's shoes after tax?
$37.63
Define or draw a picture of supplementary angles.
Supplementary angles are two angles whose sum is 180o.
A scale drawing of a billboard uses the scale if 4 cm: 9ft. The drawing is 11 cm long. How long is the actual billboard?
24.75 ft
What shape would the cross section be of a cylinder cut horizontally?
Circle
Angle RUS and angle QUP are vertical angles. If angle RUS is 41o, what is the measure of angle QUP?
41o
The original price of a shirt was $25. If it was marked down 12%, what is the new price of the shirt?
$22
Define congruent angles.
Congruent angles are angles that have the same measure.
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase measurements be on a scale drawing using the scale 3 cm: 2 ft?
19.5 cm wide and 36 cm tall
How could you cut a cube in order to get a cross section of a triangle?
Diagonally through the corner.
Angle HKL and angle HKJ are supplementary. If angle HKL is 4x + 2 and angle HKJ is 78o, what is the value of x and what is the measure of HKL?
x= 25, 102o
Find the percent increase from 14 books to 40 books.
186%
Define or draw a picture of vertical angles.
Vertical angles are a pair of opposite congruent angles formed by intersecting lines.
Bob makes a scale drawing of a statue using the scale 1 cm: 5 ft. His drawing measures 12 cm. Kia makes a scale drawing of the same statue using the scale 1 cm: 4 ft. How many centimeters tall is the statue in Kia's drawing?
15 cm
Describe three ways to cut a sphere and what cross sections they would make.
Vertically: circle
Horizontally: circle
Diagonally: oval
Angle MNQ and angle PNQ are complementary. Angle MNQ is 3x - 13 and angle PNQ is 58o. Find the value of x and the measure of angle MNQ.
x = 15o, angle MNQ = 32o
Solve the following equation.
22 - 3b = 7
b = 5