SOLUTION: How does one figure out the number of vertices example A tree with 37 edges how many vertices does it have?

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Question 380452: How does one figure out the number of vertices example A tree with 37 edges how many vertices does it have?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose there was 1 edge to a "tree." Then the figure would have two vertices. By a simple induction argument (by adding one more segment) an n-edged figure would have n+1 vertices, so a 37-edged tree would have 38 vertices (assuming no three vertices form a triangle).