Answer: 1/5 or 8 houses. Company X provides electricity to 8 houses, Company Y provides to 24 houses, so that would mean Company Z provides 8
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:

Multiply by pi to get:

Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Answer:
5
Step-by-step explanation:
The answers equivilant to 3 are 1,5,7
Pick the angle is closer to the middle (interior). 5
Answer:
B) R - 52 = 208
Step-by-step explanation:
Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:
R = 208 + 52
then subtract 52 from both sides:
R - 52 = 208 + 52 - 52
R - 52 = 208
and that's the answer
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
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You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)