Answer: No Solution
Explanation:
To find the value of x in the given scenario, we need to use the fact that "m" is parallel to "nm" (nm∥n). When two lines are parallel, it means they have the same slope.
Let's examine the slopes of the two lines:
For line m: The slope is given by the coefficient of x in the equation (6x + 30). So, the slope of line m is 6.
For line nm: The slope is given by the coefficient of x in the equation (8x - 10). So, the slope of line nm is 8.
Since the two lines are parallel, their slopes must be equal. Therefore, we can set up the following equation:
6 = 8
However, this equation is not possible to solve because 6 cannot be equal to 8. This means there is no value of x that satisfies the condition of m being parallel to nm.
In conclusion, there is no solution for the value of x in the given scenario