In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for. Minor arc RQ is double the measure of the angle that intercepts it. That means that minor arc RQ is 2(12x-12), which is 24x - 24. The measure of the outside of any circle will always and forever be 360 degrees; therefore, 40x + 24x - 24 = 360. Combining like terms gives us 64x = 384 and x = 6. Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60. Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Five more than three times the number is one-third more than the sum of the number and itself.
Let the number be n.
Then convert the sentence into a mathematical equation. Then the equation will be
3n + 5 = n + n + 1/3
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
The complete question is attached below.
More about the Algebra link is given below.
brainly.com/question/953809
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1. Add 4x back into -2, you now have -4y=-4x-2. Add +4 from y and now you are at y=-4x+2 and this is the answer!
2. Add -9x back into -3, you now have -4y=9x-3. Add +4 from y and now you are at y=9x-7 and this is your answer!!
I hope this helped! Brainliest? :) -Raven❤️
In the given question, the formula representing depreciation of the car is

And it is given that,
The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year.
Substituting the values, we will get

Dividing both sides by 20000, and taking log, we will get

Dividing both sides by log(0.85), we will get

Therefore,
