Answer:
x=2
Step-by-step explanation:
5 ( x - 2) + 4 ( 3 + x) = 20
Distribute
5x -10 +12 +4x = 20
Combine like terms
9x +2 = 20
Subtract 2 from each side
9x+2-2 = 20-2
9x = 18
Divide each side by 9
9x/9 = 18/9
x = 2
Answer:
307 1/3 + 308 1/3 + 309 1/3 = 925
Step-by-step explanation:
Answer:
There is 16 ounces in one pound.
52/16 = 3.25 lbs = 3lbs 4oz
Step-by-step explanation:
A. How many dimes is there out of the 13 coins in his pocket.
b. D=Dimes
C. 9+d=13
D. 9+d=13
Subtract 9 from 13
13-9=4
d=4
9+4=13
YES
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
![15x-2 = 13x+2](https://tex.z-dn.net/?f=%2015x-2%20%3D%2013x%2B2%20)
and solve it for x: subtract 13x from both sides to get
![2x-2=2](https://tex.z-dn.net/?f=%202x-2%3D2%20)
and add 2 to both sides to get
![2x = 4 \implies x = 2](https://tex.z-dn.net/?f=%202x%20%3D%204%20%5Cimplies%20x%20%3D%202%20)
Check: if we plug the value we found we have
![13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2](https://tex.z-dn.net/?f=%2013%5Ccdot%202%20%2B%202%20%3D%2026%2B2%20%3D%2028%20%3D%2015%5Ccdot%202%20-%202%20%3D%2030-2%20)
So the angles are actually the same, as requested.