warpedkitten
  • warpedkitten
For the given figure, find the number of edges and the sum of the degrees of the vertices. a. number of edges: 18 sum of degrees of vertices: 38 b. number of edges: 19 sum of degrees of vertices: 38 c. number of edges: 6 sum of degrees of vertices: 40 d. number of edges: 18 sum of degrees of vertices: 6
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
warpedkitten
  • warpedkitten
1 Attachment
jim_thompson5910
  • jim_thompson5910
Let's start by labeling each vertex A through F
1 Attachment
jim_thompson5910
  • jim_thompson5910
how many edges attach to vertex A?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

warpedkitten
  • warpedkitten
5?
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
how about vertex B?
warpedkitten
  • warpedkitten
6
jim_thompson5910
  • jim_thompson5910
good, and vertex C?
warpedkitten
  • warpedkitten
6
jim_thompson5910
  • jim_thompson5910
correct, now vertex D
warpedkitten
  • warpedkitten
6
jim_thompson5910
  • jim_thompson5910
also correct, how about E?
warpedkitten
  • warpedkitten
6 again
jim_thompson5910
  • jim_thompson5910
and finally, vertex F
warpedkitten
  • warpedkitten
9
jim_thompson5910
  • jim_thompson5910
so we have degree of A: 5 degree of B: 6 degree of C: 6 degree of D: 6 degree of E: 6 degree of F: 9
warpedkitten
  • warpedkitten
So wouldn't the sum be 38?
jim_thompson5910
  • jim_thompson5910
the sum is 38, yes
jim_thompson5910
  • jim_thompson5910
how many edges do you count?
warpedkitten
  • warpedkitten
19?
jim_thompson5910
  • jim_thompson5910
I'm counting 19 as well 5 edges in the outer circle 5 edges in the pentagon 8 curved edges on the inside (2*4 = 8) leading to the center 1 straight edge on the very inside leading to the center 5+5+8+1 = 19

Looking for something else?

Not the answer you are looking for? Search for more explanations.