Ask Question
2 March, 13:33

A certain tree T or order 35 is known to have 25 vertices of degree 1, two vertices of degree 2, three vertices of degree 4, one vertex of degree 5, and two vertices of degree 6. It also contains two vertices of the same degree x. What is x?

+2
Answers (1)
  1. 2 March, 17:01
    0
    Answer: 10

    Step-by-step explanation:

    The sum of degrees of vertices of tree is 2n - 2

    So let n be the number of vertices and x the unknown

    n = 35+x

    2 (35+x) - 2 = x + (25*1) + (2*2) + (3*4) + (1*5) + (2*6) + (2 * x)

    68+2x=x+58+2x

    2x-3x = 58-68

    x = 10
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A certain tree T or order 35 is known to have 25 vertices of degree 1, two vertices of degree 2, three vertices of degree 4, one vertex of ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers