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The problem asks us to find the central angle \(x^\circ\) for the portion of the pie chart representing DeWitt, based on the number of votes he received.

### Step-by-step approach:
1. **Total number of votes:** There are 4,700 votes in total.
2. **Votes for DeWitt:** DeWitt received 423 votes.
3. **Formula for calculating the central angle:**
   \[
   \text{Central angle} = \left( \frac{\text{Votes for candidate}}{\text{Total votes}} \right) \times 360^\circ
   \]
   Applying the values for DeWitt:
   \[
   x^\circ = \left( \frac{423}{4700} \right) \times 360^\circ
   \]

Let me calculate the exact value for \(x^\circ\).The central angle \(x^\circ\) for the portion of the pie chart representing DeWitt is \(32.4^\circ\).

Would you like further details on the calculation or any clarification?

Here are 5 related questions to expand on this:
1. How would the central angle change if DeWitt received 500 votes instead?
2. What would the central angle be for Mendez, who received 1081 votes?
3. How is the central angle related to percentages in a pie chart?
4. If the total number of votes were different, how would the formula for the central angle adjust?
5. Can you determine the sum of the angles for the remaining five candidates?

**Tip:** In a pie chart, the total of all central angles should always equal \(360^\circ\), which helps in verifying calculations.

Hallar la medida del ángulo central, x°, para la porción del gráfico circular que ocupa el candidato DeWitt. No redondear.

Learn how to calculate the central angle representing DeWitt in a pie chart. With 423 votes out of 4700 total votes, the step-by-step solution uses the formula for finding the central angle in a circle graph. Perfect for Grades 7-9.

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