Use the image to answer the question.An inverted triangle shows the upper left vertex labeled as house, with a side marked 5 miles leading to the lower right vertex labeled as farmer's market. The third vertex at the bottom is labeled bank.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)ResponsesThe 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 greater than 5 miles.The distance from your house to the bank and then the farmer’s market is greater than 5 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 8 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.

Answer 1

To determine which statement is true based on the information provided in the diagram (an inverted triangle with distances), we need to analyze the relationships between the points (house, bank, and farmer's market).

1. We know there is a 5-mile line from the house to the farmer's market.
2. To travel from the house to the farmer's market via the bank, we must add the distance from the house to the bank and the distance from the bank to the farmer's market.

Since the distance from the house to the bank must be a positive value and the distance from the bank to the farmer's market also must be a positive value, the sum of these two distances will be greater than 5 miles.

Therefore, the correct statement is:

The distance from your house to the bank and then the farmer’s market is greater than 5 miles.