Answer:
244 degrees
Step-by-step explanation:
Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.
Since both segments go through the center, that means all the angles are central angles.
Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.
33k -9 = 90
33k = 99
k = 3
Since we know k we can substitute it to find angle CPD.
20 k + 4 = 20*3 + 4= 60+4= 64 degrees.
Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.
64+ 90 +90 = 244 degrees
Answer:
The y-variable will be eliminated when adding the system of equations.
There is only one solution to the system of equations.
Step-by-step explanation:
-x + 6y = 16 (1)
8x - 6y = -2 (2)
Add the equations to eliminate y
-x + 8x = 16 +(-2)
7x = 16 -2
7x = 14
x = 14/7
x = 2
Substitute x = 2 into (1)
-x + 6y = 16 (1)
-2 + 6y = 16
6y = 16 + 2
6y = 18
y = 18/6
y = 3
(x, y) = (2, 3)
Answer:
$23
Step-by-step explanation:
15% of 20= 3
$20 + $3= $23
Answer:
(A)The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' are parallel.
Step-by-step explanation:
Line g has the following points:
- Point E is at (-4,0)
- Point F is at (0,2)
When we dilate a line from the origin by a given factor, we multiplicate the function by that factor, so our new graph is:
y' = a*f(x) where a is the scale factor
In this case, a=2
Therefore line g' has the following points:
We conclude that the locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' are parallel.
The correct option is A.
Answer:
Jayla has 4 2/4 pie left.
Step-by-step explanation:
The first option would be 4 and the second 2.
Have a great day!
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