blacknova908
blacknova908 blacknova908
  • 24-05-2019
  • Mathematics
contestada

use euler's formula to find the missing number vertices:16 edges:43 faces:?

Respuesta :

calculista
calculista calculista
  • 02-06-2019

Answer:

The number of faces is 29

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

[tex]V- E + F= 2[/tex]    

we have

[tex]V=16[/tex]

[tex]E=43[/tex]

substitute and solve for F

[tex]16- 43 + F= 2[/tex]

[tex]-27+F= 2[/tex]

[tex]F= 2+27[/tex]

[tex]F= 29[/tex]

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