Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
Answer:
40 % increase
Step-by-step explanation:
percent increase = (new - original)/ original
percent increase = (35-25)/25
= 10/25
=.4
multiply by 100
40 percent
Answer:
51
Step-by-step explanation:
1 mL = 0.034 fluid ounces
(500 + 1000) x 0.034
= 51 fluid ounces