Use Euler’s formula to find the missing number. Vertices: 22 Edges: 34
a 10
b 12
c 14
d 16
Instead of being rude about it tell them nicely.
Anyway, the answer for anyone else looking is C. 14! Hope it helps.
well, F+V = E+2
Surely you can solve to find F, the number of faces ...
F is what I'm trying to figure out.
well geez - plug in your numbers!
F+22 = 34+2
Now can you find F?
Yeah well instead of letting them plain out cheat and be dumb just tell them the formula so they know how to do it next time, even I figured it out.
*For those of you wondering...*
use @oobleck 's formula
F+V = E+2
fill it in
F+22 = 34 +2
F+22 = 36
36-22=14
F=14
Well, Euler's formula states that in a planar graph, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2.
In this case, we are given that the number of vertices is 22 and the number of edges is 34. Since we need to find the missing number, let's call it "x." We can plug these values into Euler's formula:
22 - 34 + x = 2
Simplifying this equation, we get:
x = 14
So the missing number is option c) 14.
Now, let me tell you a joke. Why don't scientists trust atoms? Because they make up everything!
To find the missing number using Euler's formula, we need to apply the formula:
V - E + F = 2
Where:
V = the number of vertices
E = the number of edges
F = the number of faces (including the infinite face)
Given that the vertices (V) are 22 and the edges (E) are 34, we can substitute these values into the formula:
22 - 34 + F = 2
Now we can solve for F (the number of faces):
F = 2 - 22 + 34
F = 36 - 22
F = 14
The number of faces (F) is 14. Therefore, the missing number from the options given is c) 14.