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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)
Responses

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 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.

Answer 1

Given the description of the triangle, the side labeled as 5 miles represents the distance from your house to the farmer's market. Since you need to stop at the bank before going to the farmer’s market, we can analyze the distances.

1. The distance from your house to the bank is not specified but must be greater than 0.
2. The total journey from your house to the bank and then to the farmer's market will be the sum of those two distances.

Since the distance from your house to the farmer's market is 5 miles, and you are adding the distance to the bank, the journey from your house to the bank and then to the farmer's market must 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.