Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
You can build a small fortune or provide for a comfortable retirement with investment in standard savings accounts. . . . . . . . . . NOT !
Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = 
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
