Answer: Consistent and Independent.
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can observe in the graph the lines intersect each other, this means that the system of equation has one solution.
3. By definition, when a system of equations has one solution, it is classified as Consistent and Independent.
Answer:
x = 20
Step-by-step explanation:
The angles are same side interior angles so the add to 180
3x-10 + 5x+30 = 180
Combine like terms
8x +20 =180
Subtract 20 from each side
8x+20 -20 =180-20
8x = 160
Divide by 8
8x/8 =160/8
x = 20
If you mean 40% of the circle with the rotation at the center of the circle, then you do this:
Measure of circle: 360°
Amount of circle's measure: 40%
360 * 40% = 144°
Thus, to take up 40% of the circle you need to have an angle measure of 144°.
Answer:
Width of rectangle = 6 m
Length of rectangle = 11 m
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 3w-7
Area of rectangle = 66 m²
We need to find length and width of rectangle
The formula used is: 
Putting values and finding w

Solve using quadratic formula: 
We have a=3, b=-7, c=-66
Putting values and finding w

We get values of w as w=6 and w=-3.6
As we know width cannot be negative, so considering w = 6
So, Width = 6
Length = 3w-7 = 3(6)-7 = 18-7 = 11
So, Width of rectangle = 6 m
Length of rectangle = 11 m
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