Parallel Dimension
When two parallel lines are cut by a transversal, 8 angles are formed. Name one type of angle pair that is congruent in this scenario.
Alternate interior, alternate exterior, or corresponding angles
In right triangle ABC (with right angle B), AB = 7, BC = 24, and AC = 25. What is cos(A)?
7/25
A trapezoid has two bases of lengths 4 km and 7 km, and a height of 6 km. Find the area of this trapezoid.
33 km2
State the slope and y-intercept:
y = -3/4x - 5
Slope: -3/4
Y-intercept: (0, -5)
What is the capital city of Japan?
Tokyo
When two parallel lines are cut by a transversal, 8 angles are formed. Name one type of angle pair that is supplementary in this scenario.
Same-side interior or same-side exterior angles
In right triangle DEF (with right angle E), DE = 14 and EF = 22. Find the measure of angle F.
32.47o
A rectangular prism has a length of 10 cm, a width of 8 cm, and a height of 2 cm. Find the volume of this prism.
160 cm3
Simplify: -5√1280
-80√5
How do you say "hello" or "goodbye" in Japanese?
Hello: こんにちは (konnichiwa)
Goodbye: さようなら (sayounara)
Given the following coordinates, determine if lines CD and PQ are parallel, perpendicular, or neither:
C(1, 3); D(5, 6); P(-2, 5); Q(1, 1)
Perpendicular
In right triangle GHI (with right angle H), HI = 5 and the measure of angle G is 20o. Find GI.
GI = 14.62
Find the area of a regular octagon with an apothem of length 18 ft. Round to the nearest hundredth.
1074.24 ft2
Rewrite using a single positive exponent: (x4)3 * x-15
1/x3
Name a Japanese food that isn't sushi or ramen.
Soba, onigiri, donburi, udon, & more!
Write the equation of a line parallel to 4x + 5y = 20 that passes through the point (5, 4).
y = -4/5x + 8
A fire ranger on 180-ft tall tower spots a fire at a 25° angle of depression. How far is the fire from the base of the tower?
386.01 ft
In circle A, two radii forming a central angle of 150o create a sector of area 60π m2. What is the radius of circle A?
12 m
Solve the system:
6x + 7y = 19
-10x - 9y = -13
x = -5
y = 7
What is the tallest mountain in Japan?
Fuji-san (富士山) or Mt. Fuji
Two parallel lines are cut by a transversal, forming alternate interior angles with measures of (x2 - 3x)o and (2x + 14)o. Solve for x.
x = 7 and x = -2
A surveyor is looking up to measure the top of a building. The angle of elevation from his eyes (which are 5.5 feet above the ground) to the top of the building is 46°. If he is standing 30 feet from the building, how tall is the building?
36.57 ft
A hexagonal pyramid has a base that's a regular hexagon with side lengths of 12 in. The height of the pyramid is 18 in. Find the exact surface area of this pyramid.
648√3 in2
Solve for x:
x2 - 3x = -2x + 42
x = -6 & x = 7
When Mr. Wendt lived in Japan, his favorite type of sushi restaurant was 回転寿司 (Kaiten Zushi). What would this type of sushi restaurant be called in English?
Conveyor belt sushi or sushi-go-round