Answer:
Step-by-step explanation:
The perimeter of a circle is the circumference of the circle. To find it, use the formula .
The diameter here is two times the radius x, d = 2x. But here it has been decreased by 2 so it becomes d = 2x - 2.
Substitute into the formula.
Recall that
cos(A + B) = cos(A) cos(B) - sin(A) sin(B)
sin(A + B) = sin(A) cos(B) + cos(A) sin(B)
By definition of cotangent,
cot(A + B) = 1 / tan(A + B) = cos(A + B) / sin(A + B)
and by applying the identities above,
cot(A + B) = (cos(A) cos(B) - sin(A) sin(B)) / (sin(A) cos(B) + cos(A) sin(B))
Now, multiply the expression on the right by 1/(sin(A) sin(B)) to get
cot(A + B) = (cot(A) cot(B) - 1) / (cot(B) + cot(A))
Given tan(A) = 1/4 and tan(B) = 1/5, we have cot(A) = 4 and cot(B) = 5, so that
cot(A + B) = (4×5 - 1) / (5 + 4) = 19/9
arc AB = 160 and < AEB = 110.
Find the measure of arc CD
<AEB = 1/2(arc AB + arc CD)
2* 110 = 160 + arc CD
arc CD = 220 - 160
arc CD = 60
Answer
d. 60
No they're not on the same line because they have different slopes
slope of (2,3) (5,6) is 1
slope (5,6) (0,-2) is 8/5
slope of (2,3) and (0,-2) = 5/2
The answer if you are looking for it this way.2.23