What is the sum of degrees of each vertex for a tree with 5 vertices?

Group of answer choices

5

6

8

10

8

Step-by-step explanation:

we know that

Euler's Sum of Degrees Theorem states that: The sum of the degrees of all the vertices equals twice the number of edges.

The number of edges in any tree with N vertices will be N - 1

so

The sum of degrees is given by

we have

substitute

i believe that is true.

step-by-step explanation:

hope my answer has you if not i'm sorry.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.