2 years ago

Will V − E + F always equal 2?

Mathematics

1 answer:

SVEN [57.7K]2 years ago

7 0

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

<h3>How to determine the true statement?</h3>

The equation is given as:

V - E + F = 2

Where:

V represents the vertices
E represents the edges
F represents the faces

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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