Use the image to answer the question. Is this the correct decomposition of a honeycomb shaped like a hexagon into n−2 triangles? (1 point) Responses Yes, this is the correct decomposition because the decomposition has n−2=6−2=4 triangles. Yes, this is the correct decomposition because the decomposition has n minus 2 equals 6 minus 2 equals 4 triangles. Yes, this is the correct decomposition because the decomposition is 6 triangles. Yes, this is the correct decomposition because the decomposition is 6 triangles. No, this is not the correct decomposition because the decomposition is 4 equal-sized triangles. No, this is not the correct decomposition because the decomposition is 4 equal-sized triangles. No, this is not the correct decomposition because the decomposition is 4 triangles. No, this is not the correct decomposition because the decomposition is 4 triangles. Skip to navigation

Answer 1

To determine if the decomposition of a hexagonal honeycomb into triangles is correct, we need to consider the following:

A hexagon has 6 sides (n = 6). According to the formula given, a hexagon should be decomposed into \( n-2 \) triangles. Thus, for a hexagon:

\[ n - 2 = 6 - 2 = 4 \]

This means that the correct decomposition of a hexagon should consist of 4 triangles.

If the image shows that there are 4 triangles, then the answer to the question would be:

Yes, this is the correct decomposition because the decomposition has n−2=6−2=4 triangles.

If the image shows 6 triangles instead, then it would not be a correct decomposition and the answer would be:

No, this is not the correct decomposition because the decomposition is 6 triangles.

Based on the answers listed, it seems you are asking about the description of the triangles present in the decomposition. If the answer specifically mentions 4 triangles, it would be considered correct.

If you are analyzing the options based on what they state:

• If the answer indicates that there are 4 triangles, the correct response would conform to the first option indicating 4 triangles.
• Conversely, if it mistakenly states there are 6 triangles, that would be incorrect per our calculations.

To provide a definitive answer, one would need to reference the image, but based on mathematical reasoning, for a hexagon, 4 triangles is correct.