Answer:
The measure of the complement angle is ![18\°](https://tex.z-dn.net/?f=18%5C%C2%B0)
Step-by-step explanation:
Let
x-----> the angle
we know that
The complement of an angle is equal to ![(90-x)\°](https://tex.z-dn.net/?f=%2890-x%29%5C%C2%B0)
The supplement of an angle is equal to ![(180-x)\°](https://tex.z-dn.net/?f=%28180-x%29%5C%C2%B0)
we have
The complement of an angle is one-sixth the measure of the supplement of the angle
![(90-x)\°=(1/6)(180-x)\°](https://tex.z-dn.net/?f=%2890-x%29%5C%C2%B0%3D%281%2F6%29%28180-x%29%5C%C2%B0)
solve for x
![(540-6x)\°=(180-x)\°](https://tex.z-dn.net/?f=%28540-6x%29%5C%C2%B0%3D%28180-x%29%5C%C2%B0)
![(6x-x)=(540-180)\°](https://tex.z-dn.net/?f=%286x-x%29%3D%28540-180%29%5C%C2%B0)
![(5x)=(360)\°](https://tex.z-dn.net/?f=%285x%29%3D%28360%29%5C%C2%B0)
![x=72\°](https://tex.z-dn.net/?f=x%3D72%5C%C2%B0)
Find the measure of the complement angle
------> ![(90-72)=18\°](https://tex.z-dn.net/?f=%2890-72%29%3D18%5C%C2%B0)
Answer:
![8+3x^2+7x+4](https://tex.z-dn.net/?f=8%2B3x%5E2%2B7x%2B4)
Step-by-step explanation:
The first expression is
![7+3x^2+7x+3](https://tex.z-dn.net/?f=7%2B3x%5E2%2B7x%2B3)
The sum of the constants is 7+3=10
The sum of the coefficients is 3+7=10
The second expression is;
![7+4x^2+4x+1](https://tex.z-dn.net/?f=7%2B4x%5E2%2B4x%2B1)
The sum of the constants is 7+1=8
The sum of the coefficients is 4+4=8
The third expression is;
![8+4x^2+8x+2](https://tex.z-dn.net/?f=8%2B4x%5E2%2B8x%2B2)
The sum of the constants is 8+2=10
The sum of the coefficients is 4+8=12
The fourth expression is;
![8+3x^2+7x+4](https://tex.z-dn.net/?f=8%2B3x%5E2%2B7x%2B4)
The sum of the constants is 8+4=12
The sum of the coefficients is 3+7=10
Hence the correct choice is the expression in which the sum of the constants greater than the sum of the coefficients
Answer:
3600 Liters
Step-by-step explanation:
The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate
1/2 hour is the same thing as 30 mins
multiply by 60 to convert minutes to seconds
![3omin * \frac{60sec}{1min} = 1800 s](https://tex.z-dn.net/?f=3omin%20%2A%20%5Cfrac%7B60sec%7D%7B1min%7D%20%3D%201800%20s)
since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters
Answer:
FALSE
Step-by-step explanation:
The sum of interior angles of a quadrilateral is 360° (or 400 grads or 2π radians--units matter).
Answer:
40 because 10 x 4 = 40
Step-by-step explanation: