<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:
1. Number line 2
2. Number line 1
3. Number line 4
4. Number line 3
Step-by-step explanation:
1. x – 99 ≤ -104
Solving by adding +99 on both sides
x - 99 +99 ≤ -104 +99
x ≤ -5
Number line 2 represent x ≤ -5
2. x – 51 ≤ -43
Adding +51 on both sides
x -51 +51 ≤ -43 +51
x ≤ 8
Number line 1 represent x ≤ 8
3. 150 + x ≤ 144
Adding -150 on both sides
150 + x -150 ≤ 144 -150
x ≤ -6
Number line 4 represent x ≤ -6
4. 75 < 69 – x
Adding +x on both sides
75 + x < 69 -x +x
x < 69 -75
x < -6
Number line 3 represent x < -6
6 plus 6 is 12 then 12 plus 3 is 15 then 15 plus 3 and 3 is 21 then we do 21 plus 4.2 is 25.4 plus 3 is 28.4 hope this helps
