Answer:
∠ A = 50°
Step-by-step explanation:
The angle adjacent to 145° inside the triangle is
180° - 145° = 35°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
85° is an exterior angle of the triangle , then
∠ A + 35° = 85 ( subtract 35° from both sides )
∠ A = 50°
Answer:
answer is D) 0, -5
Step-by-step explanation:
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
Answer:
B. 88.8
Step-by-step explanation:
let x represent class y
(x+71.2)/2=80 multiply each side by 2
x+71.2=160 subtract 71.2 by both sides
x=88.8
or
trial an error
replace x with each of the numbers and see if it plugs in.
example:
(80.5+71.2)/2=80
151.7/2=80
75.85=80?
false. incorrect
another example:
(88.8+71.2)/2=80
160/2=80
80=80?
true. correct
X + 4y = 4
-x + 2y = 8
x + 4y - x + 2y = 4 + 8
6y = 12
y = 2
x + 4(2) = 4
x + 8 = 4
x = -4
(x,y)
(-4,2)