PLEASE HELP!!

For the following questions, use Euler's Formula to find the missing number.

1. Faces: 25
Vertices: 17
Edges: ?

43
41
39
40

2. Vertices: 11
Edges: 34
Faces: ?

25
28
26
24

3. Edges: 36
Faces: 22
Vertices ?

19
15
16
17

Respuesta :

Answer:

see explanation

Step-by-step explanation:

Using Euler's formula for Polyhedra, that is

F + V - E = 2

where F is faces, V is vertices and E is edges

1

Rearrange formula for E

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract 2 from both sides )

E = F + V - 2

  = 25 + 17 - 2 = 40

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2

Rearrange formula for F

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract V from both sides ) F = 2 + E - V, so

F = 2 + 34 - 11 = 25

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3

Rearrange formula for V

F + V - E = 2 ( add E and subtract F from both sides )

V = 2 + E - F

  = 2 + 36 - 22 = 16