for the following questions, use euler's formula to find the missing number.

1. faces: 25
vertices: 17
edges: ?

43
41
39
40

2. vertices: 11
edges: 34
faces: ?

25
28
26
24

3. edges: 36
faces: 22
vertices ?

19
15
16
17

see explanation

Step-by-step explanation:

Using Euler's formula for Polyhedra, that is

F + V - E = 2

where F is faces, V is vertices and E is edges

1

Rearrange formula for E

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract 2 from both sides )

E = F + V - 2

  = 25 + 17 - 2 = 40

2

Rearrange formula for F

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract V from both sides ) F = 2 + E - V, so

F = 2 + 34 - 11 = 25

3

Rearrange formula for V

F + V - E = 2 ( add E and subtract F from both sides )

V = 2 + E - F

  = 2 + 36 - 22 = 16

there is no grid

step-by-step explanation:

f(x)=4

step-by-step explanation: