Final answer:
Without additional information relating the segments EN and AX, it is not possible to solve for x. Typically, one might use the Pythagorean theorem and trigonometry in vector problems to relate components and find resultant vectors, but this does not apply directly to the values given without further context.
Step-by-step explanation:
To solve for x when given that EN = 5x + 1 and AX = 8x - 5, we would typically need additional information that relates these two values to each other, such as if they were set equal because they represent congruent segments from the intersecting diagonals of a parallelogram or some other figure. However, as such information is not provided in the student's question, we are unable to determine a unique solution for x.
Generally, in problems involving vectors and components such as Ax and Ay, we can use the Pythagorean theorem (A = √(Ax² + Ay²)) to find the magnitude of a resultant vector, and trigonometry (θ = tan⁻¹(Ay/Ax)) to find the angle of the resultant vector.
Without further information about the nature of EN and AX or how they relate to one another, we cannot solve for x in this context.