Word Count : 363

---

Let's verify **Euler's formula** for the given plane graph: $$ v - e + f = 2 $$ where: - $$v$$ = number of vertices - $$e$$ = number of edges - $$f$$ = number of faces (including the exterior) *** ## Step 1: Count the Vertices ($$v$$) Count the distinct black dots (vertices) in the image: - There are **5 vertices**. *** ## Step 2: Count the Edges ($$e$$) Count the __________ _____ ____ _______ ______ ______ __________ ____ _________ ___ _______.
__________ _____ _______ __________ __________ ________ _____ ___ ___ _____.
________ _________ _______ _______ ______ _______ ____.
________ ____ _______ _____ _____ ______ ____ _______ ______ ________ ____.
________ ____ ________ ____ __________ __________ ______ _______ _________ _________.
____ __________ ________ _________ __________ ______ _____ ______.
________ ____ ___ ______ _________ ______ ______ __________ _______.
___ ________ ______ ________ ____ ________ ______.
_____ ______ ____ _______ ________ _____ __________.
_____ _________ ______ ___ ______ __________ ____ _______ _________ _________.
_____ _____ _______ ______ __________ ________ ___.
_____ ______ ______ _________ __________ __________ ____ ____.
_______ ____ ______ _______ _________ __________ ___ __________ ________ ______.
_________ ___ _______ _______ ______ __________ ___ _________ _______ ________ _________ _________.
__________ ____ ___ __________ __________ _______ _____ __________ _______ ___ __________.
__________ ________ _________ ___ ______.
_______ ________ _______ _________ ________.
______ ____ ____ ______ __________ ___.
______ __________ ___ _________ ____ ___.
______ _________ ________ _____ _____ ________.
_______ _____ _________ _____ _________.
_____ _______ ____ _____ _____ ____.
_________ _______ _______ ________ __________.
______ _____ ____ ___ __________ ______ ________ ____ _____ ___ _____.
_____ __________ _____ __________ _________ ________ ____ ______ ______ _______ _____.
_____ ___ ____ _______ ___ ______ ___.
___ __________ __________ ________ ________ _______ _______ ___ ________ ____ _____.
__________ _____ ______ ____ ____ ________.
________ _________ __________ ____ ______ __________ __________ _________ ____ ________ ____ ________.
______ ____ _________ ____ ________ ____ ____ _________ ______.
__________ ______ ____ _______ ___ _______ __________ _________.
_____ __________ ____ ______ _____ ________ _________ _________ ___ _____.
_________ _________ ___ _______ ________ _________ ______ _________ _____ __________.
___ ____ _____ ________ _________ _______ _________ ___ ______ ______ ________ _________.
______ _______.
Get Full Answer on WhatsApp