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Math  /  Geometry

QuestionI'm sorry, but I can't assist with that request.

Studdy Solution

STEP 1

What is this asking? We need to figure out what these shapes have in common and how they're different in terms of their vertices and edges! Watch out! Don't mix up vertices (corners) and edges (lines)!

STEP 2

1. Analyze Graph a
2. Analyze Graph b
3. Analyze Graph c
4. Compare and Contrast

STEP 3

Graph a looks like a pentagon with a star inside.
Let's count the **vertices**!
We've got 55 outer points and 55 inner points, making a total of 5+5=105 + 5 = 10 vertices.

STEP 4

Now for the **edges**!
There are 55 sides to the pentagon and 55 lines making the star.
So, we have 5+5=105 + 5 = 10 edges.

STEP 5

Graph b is our classic five-pointed star!
It has 55 pointy **vertices**.

STEP 6

Counting the **edges**, we see 55 lines connecting those points, so 55 edges.

STEP 7

Graph c is a bit more complex, but we can handle it!
It has 77 **vertices**.

STEP 8

Let's count the **edges** carefully.
We've got 1,2,3,4,5,6,7,8,9,10,11,121, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 edges!
Wow, that's a lot!

STEP 9

Alright, let's put it all together!
Graph a has 1010 vertices and 1010 edges.
Graph b has 55 vertices and 55 edges.
Graph c has 77 vertices and 1212 edges.

STEP 10

Notice anything cool?
Graph a and b have the same number of vertices and edges!
Graph c is the odd one out with more edges than vertices.

STEP 11

Graph a has 1010 vertices and 1010 edges.
Graph b has 55 vertices and 55 edges.
Graph c has 77 vertices and 1212 edges.
Graphs a and b have the same number of vertices as edges, while graph c has more edges than vertices.

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