A consistent system of equations is a system with intersecting lines and lines that have the same equation.
A consistent system is the system of equations with at least one solution or infinite number of solutions.
So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.
The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"
If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.
This is a 45-45-90 triangle or a right triangle created by the sides.
Because of this being a right triangle and 45 degrees being given already for one angle you would add 90 and 45 which will give you 135. You would subtract 135 from 180 because all the angles of a triangle add up to 180°. 180-135=45. X=45°
Yes because 20x6=120 so she will possibly read more pages. Yes, she will finish her reading in 6 days
Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by 
The area of a semi-circle can be found with the formula 
where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is 
Therefore, the area of the shape is 
or 
(3 decimal places)
No solutions. the answer to an absolute value equation like this one only produced positive numbers, not negative
