Answer:Janice needs 5 pounds of vegetables.
Step-by-step explanation:
Answer:
B: 39 degrees
Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.
126 = (3x-9).
126 - 9 = 117.
117 / 3 = 39
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Answer: r = 4cm/θ
Step-by-step explanation:
For a circle of radius R, the perimeter is:
P = 2*pi*R
Now, if we have an arc with an angle θ, the cord of this arc is:
C = (θ/2*pi)*2*pi*R
Where you can see that if θ = 2*pi (this is the full circle) we have the perimeter of the circle.
In this case, we can see that the cord for an angle θ is 4cm, then:
C = 4cm = (θ/2*pi)*2*pi*r = θ*r
Now we can solve this for r:
r = 4cm/θ
Answer:
1. B
2. A
Step-by-step explanation:
I've done this before, very easy.
