The graphed line shown below is y = 5x-10.

which equation, when graphed with the given equation, will form a system that has no solution?
y = -5x+10
y = 5 (x + 2)
y = 5 (x-2)
y = -5x - 10

y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.

Step-by-step explanation:

The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.

Now, only a system of parallel straight lines has no solution.

And the parallel straight lines have an equal slope and different y-intercept.

Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.

And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.

So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.