To determine the value of \( x \) such that the ordered pair \( (x, 13) \) is located in the second quadrant, we need to consider the properties of the coordinates in the quadrants of the Cartesian plane.
In the second quadrant:
- The \( x \)-coordinate must be negative.
- The \( y \)-coordinate must be positive.
Since the ordered pair is \( (x, 13) \), we see that:
- The \( y \)-coordinate is 13, which is positive. This satisfies the requirement for the second quadrant.
- Therefore, for the ordered pair to be located in the second quadrant, the \( x \)-coordinate must be negative.
Thus, the value of \( x \) must be any negative number. In mathematical terms, \( x < 0 \) will place the point \( (x, 13) \) in the second quadrant.