if you draw 4 points in a square shape and try to join them all with non-crossing path you can do that, but if you draw 5 points in a shape of pentagon and try to join them it does not work. So, the question is how to prove using one of Euler's equation that its not possible to connect all 5 points with noncrossing path. He also told us that there's 5 vertices,9 edges and 6 faces.

1. 👍 0
2. 👎 0
3. 👁 166

## Similar Questions

Which of these is a step in constructing an inscribed square using technology? Construct segment DB, segment CE, segment EG, segment GI, and segment ID. Draw segments BR, RS, and SB Identify the points of intersection between

2. ### Easy Math

Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only three given points? a. 8 b. 6 c. 4 d. 2 Not quite sure. Could the answer possibly be four (c.)?

3. ### Math

You have a wire that is 35 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and

4. ### Pre calculus

You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and

1. ### Chemistry

Draw the Lewis structures for each of the following, determine the shape of the molecules. a. H2S b. CN3- c. CCl4 d.NH4 e.PO4- f.PCL3 f.SF6 and explain how do you determine the shape of it

2. ### math help

I am a closed shape made of 6 line segments. I have 2 angles less than a right angle and no right angles. What shape am I? Draw an example in the workspace.

3. ### Social Studies

1. The sections of the Transcontinental Railroad join in (5 points) California. Nebraska. Kansas. Utah. 2. Improvements in transportation led to (5 points) lower shipping costs for goods. fewer settlers moving westward. increased

4. ### Pre-calc

You have a wire that is 89 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and

1. ### Math

you can draw a square inside another square by placing each vertex of the inner square on one side of the outer square. The large square in this diagram has side length 10 units a) Determine the area of the inscribed square as a

2. ### Geometry

sophie is making a copy of an angle. the original angle will be labeled G and the new angle will be labeled B. she has just finished using a compass, with the point on G, to draw an arc that intersects botb rays of angle G. which

3. ### Math

Imagine a circle of rope, which has twelve evenly spaced knots tied in it. Suppose that this rope has been pulled into a taut, triangular shape, with stakes anchoring the rope at knots numbered 1, 4, and 8. Make a conjecture about

4. ### math

Karina drew a shape with 2 pairs of parallel sides and no right angles. Which shape could Karina have drawn? A. square B. rhombus C. rectangle D. trapeziod