To find the missing value \( x \) in the table of equivalent ratios, we need to identify the relationship between the values provided.
The values given in the table seem to represent equivalent ratios. Let's look at the pattern in the table:
- The first column (1, 3, \( x \)) indicates the first part of the ratio.
- The second column (7, 21, 35, 49) indicates the second part of the ratio.
From the first row, we have:
\[ 1:7 \]
From the second row, we have:
\[ 3:21 \]
Now, we can see that \( 3 \) is \( 3 \times 1 \), and \( 21 \) is \( 3 \times 7 \). This indicates that the second ratio is three times the first.
Now, we want to find \( x \) that maintains the same ratio.
Observing the values in the second column again, they appear to be multiples of \( 7 \):
- \( 7 \times 1 = 7 \)
- \( 7 \times 3 = 21 \)
- \( 7 \times 5 = 35 \)
- \( 7 \times 7 = 49 \)
From that pattern, it looks like the first column should continue as odd numbers (1, 3, 5, 7). The missing value \( x \) should be \( 5 \).
Thus, \( x \) is:
\[ x = 5 \]
The completed table should look like this:
\[ \begin{array}{c|c} 1 & 7 \ 3 & 21 \ 5 & 35 \ 7 & 49 \ \end{array} \]
So, the missing value \( x \) is 5.
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