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°
Answer:
The answer is 17.80
Step-by-step explanation:
Just took the test hope this helps:)
Answer:
acute and equilateral
Step-by-step explanation:
because all the angles are given equal
| -24x + 120| > 48
-24x + 120 > 48
-24x > 48 - 120
-24x > - 72
x < -72/-24
x < 3
-24x + 120 < -48
-24x < -48 - 120
-24x < - 168
x > -168/-24
x > 7
solution is : x < 3 or x > 7...answer B
We have the following system:
y = -2x + 5
3x-4y = 2
Substituting y in equation 2 we have:
3x-4 (-2x + 5) = 2
We clear x:
3x + 8x - 20 = 2
11x = 2 + 20
x = 22/11
x = 2
Then, we substitute x = 2 in equation 1:
y = -2 (2) +5
y = -4 + 5
y = 1
Answer:
The solution to the system of equations is:
x = 2
y = 1