"Jada is making a circle graph of her college tuition and fees. She spends 10% of her expenses on board. Since a circle has 360°, Jada knows that the central angle for that section of the graph is 36°. She thinks she can use what she knows about angle relationships to help her figure out the number of degrees for the central angle for the section of the graph that represents her room expenses. Which equation could be used to help her solve this problem?"
Answers
Answer:
Angle = (x / Total expense) * 360 °
Angle = (y%/100) * 360°
Step-by-step explanation:
10% fee = 36°
100% = 36 * 10 = 360°
Full expense is shown by 360°
Let say her room expense was x
total expense = 360°
Angle of measure for room expense = (room expense % /100)* 360°
= 9((Room expense /Total expense) *100)/100 ) * 360°
= (x / Total expense) * 360 °
If we say room expense was y %
Angle of measure for room expense = (y/100) * 360°
Answer: x + 36 = 90
Explanation: Since room and board together represent 25% of Jada's expenses, we know that the sum of the central angles of those two sections is 90°, which is
1/4 of the circle. Therefore, the equation x + 36 = 90 can be used to find the measurement of the central angle for Jada's room expenses. Two angles with a sum of 90° are called complementary angles.