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.
Answer:

Step-by-step explanation:
we know that
In the right triangle of the figure XYZ
Applying the Pythagorean Theorem

substitute the given values



square root both sides

Answer:

This is the answer,the option C
Step-by-step explanation: