Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ( \$2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).
Use the following table to answer each question.
Monthly Water Bills
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline Jan & Feb & Mar & Apr & May & June & July & Aug & Sept & Oct & Nov & Dec \\
\hline $x_1$ & $x_2$ & $x_3$ & $x_4$ & $x_5$ & $x_6$ & $x_7$ & $x_8$ & $x_9$ & $x_{10}$ & $x_{11}$ & $x_{12}$ \\
\hline \$40 & \$42 & \$40 & \$38 & \$48 & \$50 & \$58 & \$62 & \$56 & \$46 & \$44 & \$44 \\
\hline
\end{tabular}
6. Using sigma notation find the mean water bill for the entire year. Round your answer to the nearest cent.
7. Using sigma notation find the mean water bill for the first 6 months of the year. Round your answer to the nearest cent.
8. Using sigma notation find the mean water bill from April through November. Round your answer to the nearest cent.
Answer (2)
C. Opposite angles of a parallelogram are congruent.
Angle 1 is congruent to angle 2 because they are opposite angles of the larger parallelogram. Angle 2 is congruent to angle 3 because they are opposite angles of the smaller parallelogram.
The answer to the proof question is C: Opposite angles of a parallelogram are congruent. This is due to the property that states that opposite angles in a parallelogram are equal to each other. This understanding is crucial for establishing angle relationships in the proof.
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