Final answer:
Without the coordinates for points J and K, it is not possible to determine the x-coordinate of the division point in the directed line segment in a ratio of 2:5. Additional information is needed to use the section formula.
Step-by-step explanation:
The question asks for the x-coordinate of a point dividing a directed line segment between points J and K in a ratio of 2:5. To solve this, we need the coordinates of points J and K, which are not provided in the question. Typically, the x-coordinate can be found using the section formula, which is a weighted average of the x-coordinates of two points: x = (m*x2 + n*x1) / (m+n), where m:n is the given ratio, and x1 and x2 are the x-coordinates of points J and K respectively. Since we do not have specific coordinates for these points, we cannot determine an exact answer. The question might be incomplete or additional information may be necessary.