<h3>
Answer: 161 degrees</h3>
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Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
Answer:
Center (-2 , 4)
Step-by-step explanation:
x^2 + 4x + y^2 - 8y = - 11
(x^2 + 4x + (4/2)^2 + (y^2 - 8y + (8/2)^2 ) = - 11 + 4 + 16
(x + 2)^2 + (y - 4)^2 = 9
Center (-2, 4)
Answer:
A is 360
Step-by-step explanation:
<h3><u>
Answer:</u></h3>
The circumference of a circle with diameter of 98 in. is about 308 in.
<h3><u>
Step-by-step explanation:</u></h3>
<u>We know the diameter. Using the diameter, we can find the circumference.</u>
- => Diameter = 98 in.
- => Radius = 98/2
- => Radius = 49 in.
<u>Circumference = 2πr</u>
- => 2 x 22/7 x 49
- => 2 x 22 x 7
- => 308 in.
<h3><u>Conclusion:</u></h3>
Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
