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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 which response is true

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.
The distance from your house to the bank and then the farmer’s market is greater than 5 miles.
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Answer 1

Based on the information provided about the inverted triangle diagram:

• The distance from your house (upper left vertex) to the farmer's market (lower right vertex) is clearly marked as 5 miles.
• The additional distance from the house to the bank (lower left vertex), which is not specified in your statement, must be added to reach the total distance from the house to the bank and then to the farmer's market.

If we assume the following:

• The house to the bank distance = x miles
• The bank to the farmer's market distance = y miles (must be inferred)

The total distance traveled from the house to the bank and then to the farmer’s market would be x + y miles.

Given that the only clear distance stated is the 5 miles directly from the house to the farmer's market, we can assume that the statement referring to this context must take into account additional distance from the bank.

Since we know that the total distance includes the distance to the bank plus the existing distance from the bank to the farmer's market, we can conclude that:

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

Thus, the true statement is:

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