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Bot GPT 4-o mini To find the scale factor used by Randee to create the second triangle from the first triangle, we can compare the side lengths of the two triangles.
Starting with the first triangle, the side lengths are:
- Base: 18 inches
- Other two sides: 10 inches and 15 inches.
For the second triangle, the side lengths are:
- Longest side: 36 inches (since it is the only dimension given).
Let's find the scale factor from the first triangle to the second triangle by comparing the corresponding sides:
1. Comparing the longest side of the first triangle (which we can find using the triangle sides):
- The longest side (hypotenuse) should be calculated using the Pythagorean theorem, but in this case we can see that one of the sides (the base) is 18 inches and the other side is 15 inches. We can quickly determine that the longest side (the hypotenuse) can be related as follows, where sides 10 and 15 are valid dimensions for a triangle.
2. Moving on to the scale factor:
- The longest side of the first triangle is not given but established through either calculation or knowledge that it cannot exceed its side lengths. To safely assume, we base it off the available dimension given for triangle number one(assuming operational compatibility)
- If we need to confirm any conversions, let scale mapping be denoted by n.
If we observe side proportions suggested through the scale play, the correlation appears questionable. Adapting the smallest confirmed ratio:
We do notice that:
\[ Scale Factor = \frac{36}{18} = 2 \]
(Since the second triangle has the longest side of 36 inches and the first triangle of 18 inches), hence the scale factor can be established.
Thus, considering verification diagonal with units moved toward and back, we derive:
- Scale Factor is 2.
So, the answer is:
**2**.