Respuesta :

STEP - BY - STEP EXPLANATION

What to find?

The number of faces a polyhedron with 5 vertices and 8 edges have.

Given:

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

Vertices (V) = 5

Edges (E)=8

Step 1

Substitute the values into the formula above.

[tex]\begin{gathered} 5-8+F=2 \\ \\ -3+F=2 \end{gathered}[/tex]

Step 2

Add 3 to both-side of the equation.

[tex]\begin{gathered} F=2+3 \\ \\ =5 \end{gathered}[/tex]

ANSWER

5

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