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Use the image to answer the question. The diagram shows the distance between your house, the bank, and the farmer’s market. You need to stop at the bank before going to the farmer’s market. Given the information in the diagram, identify which statement is true. (1 point) Responses The distance from your house to the bank and then the farmer’s market is 8 miles. The distance from your house to the bank and then the farmer’s market is 8 miles. The distance from your house to the bank and then the farmer’s market is equal to 5 miles. The distance from your house to the bank and then the farmer’s market is equal to 5 miles. The distance from your house to the bank and then the farmer’s market is less than 5 miles. The distance from your house to the bank and then the farmer’s market is less than 5 miles. The distance from your house to the bank and then the farmer’s market is greater than 5 miles.

3 answers

Since I am unable to see the diagram you mentioned, I can't provide a definitive answer based on the specific distances shown. However, if you have access to the diagram, you can check the distances directly from your house to the bank and from the bank to the farmer’s market.

To accurately determine which statement is true, you can add the distances:

  1. If the total is 8 miles: The correct statement would be "The distance from your house to the bank and then the farmer’s market is 8 miles."
  2. If the total is 5 miles: The statement "The distance from your house to the bank and then the farmer’s market is equal to 5 miles." would be true.
  3. If the total is less than 5 miles: Then "The distance from your house to the bank and then the farmer’s market is less than 5 miles." would apply.
  4. If the total is greater than 5 miles: The correct statement would be "The distance from your house to the bank and then the farmer’s market is greater than 5 miles."

Please assess the diagram to find the distances and compare them to conclude which statement is true.

The diagram shows a large triangle with the upper point "5 miles" away from either bottom point. The bank and farmer's market are the bottom points with the house being the top, and the distance between the bank and farmer's market are ABOUT half of the distance from the house to either given point.

Based on your description, we can infer the following:

  1. The distance from your house (top point) to either the bank (bottom left) or the farmer's market (bottom right) is 5 miles.
  2. The distance between the bank and farmer's market appears to be about half of that distance, which would be around 2.5 miles.

To calculate the total distance from your house to the bank and then to the farmer's market:

  • The distance from your house to the bank: 5 miles
  • The distance from the bank to the farmer's market: approximately 2.5 miles

Now, adding these together:

  • Total distance = 5 miles + 2.5 miles = 7.5 miles

Given this, we can evaluate the options:

  1. The distance from your house to the bank and then the farmer’s market is 8 miles. (False; it is approximately 7.5 miles)
  2. The distance from your house to the bank and then the farmer’s market is equal to 5 miles. (False; the total is 7.5 miles)
  3. The distance from your house to the bank and then the farmer’s market is less than 5 miles. (False; 7.5 miles is greater than 5 miles)
  4. The distance from your house to the bank and then the farmer’s market is greater than 5 miles. (True; it is approximately 7.5 miles, which is greater than 5 miles)

Based on this analysis, the true statement is: The distance from your house to the bank and then the farmer’s market is greater than 5 miles.