Answer:
The answer to your question is letter C. ![t = \frac{30}{7}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B30%7D%7B7%7D)
Step-by-step explanation:
![\frac{2}{3} t - \frac{1}{5} t = 2](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20t%20-%20%5Cfrac%7B1%7D%7B5%7D%20t%20%3D%202)
![\frac{10t - 3t}{15} = 2](https://tex.z-dn.net/?f=%5Cfrac%7B10t%20-%203t%7D%7B15%7D%20%3D%202)
![\frac{7t}{15} = 2](https://tex.z-dn.net/?f=%5Cfrac%7B7t%7D%7B15%7D%20%3D%202)
7t = 30
![t = \frac{30}{7}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B30%7D%7B7%7D)
Answer:
48 degrees
Step-by-step explanation:
<u>1) Solve for x</u>
Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:
![A+B=90\\(2x+20)+(3x)=90](https://tex.z-dn.net/?f=A%2BB%3D90%5C%5C%282x%2B20%29%2B%283x%29%3D90)
Open up the parentheses
![2x+20+3x=90\\5x+20=90](https://tex.z-dn.net/?f=2x%2B20%2B3x%3D90%5C%5C5x%2B20%3D90)
Subtract 20 from both sides
![5x+20-20=90-20\\5x=70](https://tex.z-dn.net/?f=5x%2B20-20%3D90-20%5C%5C5x%3D70)
Divide both sides by 5
![\frac{5x}{5} =\frac{70}{5} \\x=14](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%20%3D%5Cfrac%7B70%7D%7B5%7D%20%5C%5Cx%3D14)
Therefore, x is equal to 14.
<u>2) Determine angle A</u>
![A=2x+20](https://tex.z-dn.net/?f=A%3D2x%2B20)
Substitute x with 14
![A=2(14)+20\\A=28+20\\A=48](https://tex.z-dn.net/?f=A%3D2%2814%29%2B20%5C%5CA%3D28%2B20%5C%5CA%3D48)
Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
You can't say what that is without knowing what a and b are. Did the question ask what the coefficient of a is? A coefficient is just the normal number that doesn't change (like 7) that is multiplied by a variable (like x). So the coefficient of 6a is 6. Also, b is the same as 1b so the coefficient of b is 1
Answer:
Angle b = 20
Angle c = 160
Step-by-step explanation:
You know this because angle b corresponds with the other 20 degree angle. A line equals 180 so therefore 180-20 = 160.
I really hope this helped