Answer: The slope is -2/5 and the y-intercept is -1/3
Answer:
Step-by-step explanation:
75x + -300 = 25x + 200
Reorder the terms:
-300 + 75x = 25x + 200
Reorder the terms:
-300 + 75x = 200 + 25x
Solving
-300 + 75x = 200 + 25x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x' to each side of the equation.
-300 + 75x + -25x = 200 + 25x + -25x
Combine like terms: 75x + -25x = 50x
-300 + 50x = 200 + 25x + -25x
Combine like terms: 25x + -25x = 0
-300 + 50x = 200 + 0
-300 + 50x = 200
Add '300' to each side of the equation.
-300 + 300 + 50x = 200 + 300
Combine like terms: -300 + 300 = 0
0 + 50x = 200 + 300
50x = 200 + 300
Combine like terms: 200 + 300 = 500
50x = 500
Divide each side by '50'.
x = 10
Simplifying
x = 10
Answer: ![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)
Step-by-step explanation:
Given
Inequality is 
Taking variables one side

Using wavy curve method
![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)
Answer:
60°
Step-by-step explanation:
∠3 and ∠6 are called same-side interior angles. This is because they are inside the parallel lines and on the same side of the transversal.
Same-side interior angles are supplementary; this means their sum is 180°. Since m∠3 = 120°, this means that m∠6 = 180-120 = 60°