<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:
The answer is: There is a negative correlation in the data set.
Step-by-step explanation:
Answer:
39 students
Step-by-step explanation:
let x represent the number of students taking both current event and foreign language
there are : 70 eight grader taking current event and 54 taking foreign
70+54-x=93
-x=93-124
x= 31 students taking both
number of eighth graders take only a current events class and not a foreign language class: 70-31=39 students
Answer: -5x= -11
Step-by-step explanation:
Steps:
$549/4 people
= $137.25/person
20% of $137.25
= 0.2 x 137.25
= $27.45
$27.45 + $137.25
= $164.70
therefore, mike will pay $164.70: $27.45 as a tip to the deckhand and $137.25 for his individual share of the entire trip.
