Question

last week, there were 225 student absences at northview high. the table below summarizes them by the day of the week on which they occurred. this information is also presented as a circle graph. find the central angle measure, ( x^circ ), for the tuesday slice in the circle graph. do not round.

day	number of absences
tuesday	45
wednesday	54
thursday	27
friday	54

Explanation:

Step1: Find total absences

Sum the number of absences: \(45 + 45 + 54 + 27 + 54 = 225\) (matches the given total).

Step2: Calculate proportion for Tuesday

Proportion of Tuesday absences: \(\frac{45}{225}\)

Step3: Find central angle

Central angle \(x = \frac{45}{225} \times 360^\circ\)
Simplify: \(\frac{1}{5} \times 360^\circ = 72^\circ\)

Answer:

\(72\)