Answer
Midpoint = (3, 5.5)
Step by step explanation
Here we have to use the midpoint formula.
Midpoint = ( )
Here the point A = (-1, 8) and B = (7, 3)
x1 = -1, y1 = 8, x2 = 7 and y2 = 3
Now plug in these values into the formula.
Midpoint = (
= (6/2, 11/2)
= (3, 5.5)
Therefore, the midpoint the line segment AB is (3, 5.5)
Thank you.
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.