Answer:
c = 6
Step-by-step explanation:
(I'm going to call the unidentified inner angle Henry, 'kay?)
First, we need to find Henry.
64 + Henry = 180
(64 - 64) + Henry = (180 - 64)
Henry = 116
Now to c.
Henry + 32 + 5c + 2 = 180
(116 + 32 + 2) + 5c = 180
(150 - 150) + 5c = (180 - 150)
5c/5 = 30/5
c = 6
Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125
9514 1404 393
Answer:
graph: lower right
π units to the right of the graph of f(x)
Step-by-step explanation:
The transformation of f(x) to f(x-h) is a translation to the right by h units.
Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.
The graph of the translated function is shown below.
Assuming you can’t use the same topping twice,
10 x 9 x 8 = 720
G -1/6= 1/6
Move -1/6 to the other side
sign changes from -1/6 to 1/6
G-1/6+1/6=1/6+1/6
G = 2/6
Reducing: divide by 2 for 2/6
2/2= 1
2/6= 3
Answer : G= 2/6= 1/3