Final answer:
The information provided does not include the necessary ratios or measurements to determine the value of x in the similar pentagons, making it impossible to answer the question.
Step-by-step explanation:
To find the value of x in the similar pentagons, we need information about their corresponding sides and the ratio of their similarity. However, the information provided does not directly give us the measurements required to solve for x in the similar pentagons.
The various data points presented, such as distances and displacements for different paths, measurements of a three-dimensional object, and the weight and position of the center of mass, are unrelated to the question about similar pentagons. Without the specific ratios or measurements of the pentagons, we cannot determine the value of x. Therefore, based on the information provided, we are unable to solve the question.