<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 first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
parallel means "same slope (m)"
m = 
= 
Now, input the point (0, 0) and the slope 
into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 0 = 
(x - 0)
y = 
3y = -5x <em>multiplied both sides by 3</em>
0 = -5x - 3y <em>subtracted 3y from both sides</em>
Answer: C
Answer: 
Step-by-step explanation:
Given, A pizza is to be cut into halves.
Since half is represented by 
.
So each piece is now of the original.
if each of these halves is to be cut into sevenths, then the fraction of final pieces would be: 
or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.
And the fraction of the pizza is each of the final pieces = .
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
