Answer:
k = 10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
115 = (4k+5) + (6k+10)
Combine like terms
115 = 10k+15
Subtract 15 from each side
115-15 = 10k +15-15
100 = 10k
Divide by 10
100/10 = 10k/10
10 =k
If you have these conditions:
1. (r ,theta) where r > 0
<span>2. (r, theta) where r < 0
</span>
The solution would be:
<span>r = sqrt(x^2 + y^2)
t = arctan(y/x)
r = sqrt(12 + 4) = sqrt(16) = +/- 4
t = arctan(2 / -2sqrt(3)) = arctan(-1 / sqrt(3)) = 5pi/6 , 11pi/6
1)
r > 0
(4 , 11pi/6)
2)
r < 0
(-4 , 5pi/6)
</span>
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Im pretty sure it’s just 51.80 divided by 4 which is 12.95. Sorry if it’s wrong and good luck!