Answer:
Step-by-step explanation: In order for two lines to be parallel, they must have the same slope. Therefore, to find the value of x that makes the lines (4x+16) and (7x-20) parallel, we need to set the slopes equal to each other and solve for x.
The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line.
For the line (4x+16), we can use the points (0,16) and (1,4) to find the slope:
m = (4 - 16) / (1 - 0) = -12
For the line (7x-20), we can use the points (0,-20) and (1,7) to find the slope:
m = (7 - (-20)) / (1 - 0) = 27
Since the slopes of the lines are not equal, the lines are not parallel. Therefore, there is no value of x that will make the lines parallel.