Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
Y=40x+70
40 being the slope and 70 being the y intercept.
If you need help comment below!
The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.
We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.
Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.
So the answer to this is 240.
Answer:
Step-by-step explanation:
It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.
The side opposite the 60° angle is (6√3)√3 = 18
x = 18
y = 6√3
