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A pie chart shows the expenditure of a household. Food expenditure is represented by angle x, medication by 90 degrees, and another category by 70 degrees. Rent expenditure is the remaining category.

Mathematics

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To solve this problem, we need to determine the angles for each category of expenditure and then use the given financial information to find the total expenditure.

Step 1: Identify the angles for each category.
From the pie chart, we have:

  • Angle for Food: Afood=xA_{\text{food}} = x
  • Angle for Medication: Amedication=90∘A_{\text{medication}} = 90^\circ
  • Angle for an unlabeled category (let's call it 'Other'): Aother=70∘A_{\text{other}} = 70^\circ
  • Angle for Rent: ArentA_{\text{rent}} (This is the remaining sector)

The sum of angles in a circle is 360∘360^\circ.

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