PLEASE HELP!!!!

use Euler's formula to find the missing number

faces: 25
verticies: 17
edges: ?

answer choice-
a. 43
b. 41
c. 39
d. 40

Respuesta :

Answer:

d. 40

Step-by-step explanation:

The number of faces, edges and vertices is related by the following formula:

[tex]V - E + F = 2[/tex]

In which V is the number of vertices, E is the number of edges and F is the number of faces.

In this question:

[tex]F = 25, V = 17[/tex]

We want to find E. So

[tex]V - E + F = 2[/tex]

[tex]17 - E + 25 = 2[/tex]

[tex]E = 42 - 2 = 40[/tex]

The correct answer is given by option D.