merican66rider merican66rider
  • 25-04-2020
  • Mathematics
contestada

2. If a polyhedron has 19 vertices and 13 faces, how many edges does it have?

Respuesta :

jakeob28 jakeob28
  • 25-04-2020

Answer:

30 Edges.

Step-by-step explanation:

Euler's formula tells us that [tex]V-E+F=2[/tex] (Vertices - edges + faces = 2).

Plug the numbers in:

[tex]19-E+13=2[/tex]

Solve:

[tex]32-E=2[/tex]

[tex]32=2+E[/tex]

[tex]30=E[/tex]

Therefore, there are 30 edges.

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