Question
Find the simplified ratio in the smaller triangle of the graph shown below.
Slope = 1.5
Slope = 2/3
Slope = 2
Slope = -2
Slope = 1.5
Slope = 2/3
Slope = 2
Slope = -2
Answers
GPT-4o mini
To analyze the given slopes and find their corresponding ratios, we need to first understand what they represent in a triangle context.
1. **Slope = 1.5:** This is a rise over run ratio of 1.5, which means for every 1 unit the triangle runs horizontally, it rises 1.5 units. The ratio can be expressed as 3:2 (since 1.5 can be expressed as 3/2).
2. **Slope = 2/3:** This correlates to a rise of 2 units for every 3 units run horizontally. The ratio is 2:3.
3. **Slope = 2:** This indicates a rise of 2 units for every 1 unit run horizontally. The ratio is 2:1.
4. **Slope = -2:** This indicates a downward slope. The rise is -2 for a run of 1, which can be expressed as -2:1.
To summarize the slopes and ratios found in the smaller triangle of the graph:
- Slope = 1.5 corresponds to a simplified ratio of **3:2.**
- Slope = 2/3 corresponds to a simplified ratio of **2:3.**
- Slope = 2 corresponds to a simplified ratio of **2:1.**
- Slope = -2 corresponds to a simplified ratio of **-2:1.**
Overall, to find a final "simplified ratio" based on the context may depend on which slopes or triangles are considered in combination.
Without a specific triangle or graph provided, the answer will remain connected to these calculated ratios defined by their corresponding slopes. If more context is provided about how these slopes interact with the triangle, a more refined ratio can be calculated.
1. **Slope = 1.5:** This is a rise over run ratio of 1.5, which means for every 1 unit the triangle runs horizontally, it rises 1.5 units. The ratio can be expressed as 3:2 (since 1.5 can be expressed as 3/2).
2. **Slope = 2/3:** This correlates to a rise of 2 units for every 3 units run horizontally. The ratio is 2:3.
3. **Slope = 2:** This indicates a rise of 2 units for every 1 unit run horizontally. The ratio is 2:1.
4. **Slope = -2:** This indicates a downward slope. The rise is -2 for a run of 1, which can be expressed as -2:1.
To summarize the slopes and ratios found in the smaller triangle of the graph:
- Slope = 1.5 corresponds to a simplified ratio of **3:2.**
- Slope = 2/3 corresponds to a simplified ratio of **2:3.**
- Slope = 2 corresponds to a simplified ratio of **2:1.**
- Slope = -2 corresponds to a simplified ratio of **-2:1.**
Overall, to find a final "simplified ratio" based on the context may depend on which slopes or triangles are considered in combination.
Without a specific triangle or graph provided, the answer will remain connected to these calculated ratios defined by their corresponding slopes. If more context is provided about how these slopes interact with the triangle, a more refined ratio can be calculated.