Final answer:
To illustrate the number of high school students participating in tennis, soccer, or both, a Venn diagram can be used with two overlapping circles to represent the two sports and their intersection indicating students who play both.
Step-by-step explanation:
The original question seems to contain an array of unrelated parts, and it's not entirely clear what the specific query is. I'll address the Venn diagram aspect, which is a common mathematics topic. To represent students playing tennis, soccer, or both with a Venn diagram, one could draw two overlapping circles, one labeled 'Tennis' and the other labeled 'Soccer.' The overlap represents students who play both sports.
An example of this would be if there were 30 students in total, with 10 playing only tennis, 15 playing only soccer, and 5 playing both, the tennis circle would include a total of 15 students (10+5), and the soccer circle would include a total of 20 students (15+5), with the overlap showing those 5 students who play both.