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what number can you multiply each original length by to get each length…

Question

what number can you multiply each original length by to get each length in the scaled copy? original scaled copy 5 2 3 6 4 8 original 3 5 4 scaled copy 6? 8

Explanation:

Step1: Calculate the ratio for the first pair

To find the multiplier, divide the scaled - copy length by the original length. For the first pair (original length 5 and scaled - copy length 2), the ratio is $\frac{2}{5}=0.4$. For the second pair (original length 3 and scaled - copy length 6), the ratio is $\frac{6}{3} = 2$. For the third pair (original length 4 and scaled - copy length 8), the ratio is $\frac{8}{4}=2$. Since we need a single multiplier for all lengths, we take the common ratio. The common ratio for the non - first pair is 2. Let's check if the first pair is an error. If we consider the correct proportion, for the side of length 5 in the original, if the multiplier is 2, the scaled - copy length should be $5\times2 = 10$ (the 2 in the first row of the table might be a misprint). Using the consistent ratio from the other two pairs.
We divide the scaled - copy lengths by the original lengths: $\frac{6}{3}=2$, $\frac{8}{4}=2$.

Answer:

2