Given the partially filled-in table with some missing values, let us address how to fill in the missing elements step-by-step.
Here is a detailed step-by-step solution with the necessary reasoning:
1. Analyze the given data:
We have a 4x4 table with the following values:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
1 & 75 & 70 & \\
\hline
A & & & 6 \\
\hline
F & & & B \\
\hline
& E & 10 & 80 \\
\hline
\end{array}
\][/tex]
2. Identify potential constraints or patterns:
- Notice that we have several named placeholders (A, B, E, F) and a few numerical values.
- Rows sum, columns sum, or some specific arithmetic relations might be the patterns involved.
3. Assume no additional pattern is identified:
Without any given sum constraint or specific arithmetic rule, the table cannot be further completed systematically.
Therefore, given the available information and constraints, we conclude that it is not possible to determine the missing values without additional context or rules.
Thus, the solution is that the values for the placeholders cannot be determined.
