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A survey of 50 students asked whether they preferwinter, spring, summer, or fall. 35 students said theypreferred summer. Find the degree measure of thepart of the circle graph that represents summer?

A survey of 50 students asked whether they preferwinter, spring, summer, or fall. 35 students-example-1
User Zaffer
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1 Answer

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The total number of students is given as 50, and out of this total, 35 said they prefer summer.

This means on a circle graph, the degree out of a total of 360 degrees (total measure of degrees in a circle) that prefers summer is represented by a fraction of 35 over 50.

This is shown below;


\begin{gathered} Portion\text{ that prefer summer is represented by x} \\ \text{Therefore,} \\ (35)/(50)=(x)/(360) \\ \text{Cross multiply and you'll have} \\ (35*360)/(50)=x \\ 252=x \end{gathered}

The degree measure of the part of the circle that represents summer is 252 degrees

User Afshin Gh
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