Question

Use Euler’s Formula to find the missing number.

Answer 1

Euler formula is a formula created by the famous mathematician, Leonhard Euler which establishes the relationship between the trigonometric functions and the complex exponential function. According to the rule, the vertices +faces - edges = 2 

V + 25 - 37 = 2

V then is equal to 14

Answer 2

Answer:

Number of vertices = 14

Step-by-step explanation:

Let e be the number of edges, f be the number of faces and v be the number of  vertices.

As per the statement:  

Number of edges(e) = 37

Number of faces(f) = 25

We have to find number of vertices.

Using Euler's formula:

$v-e+f = 2$

Substitute the values we have;

$v-37+25 = 2$

⇒$v-12 = 2$

Add 12 to both sides we have;

v = 14

Therefore, the number of vertices = 14