Corrected Question
The graphs below shows some properties of regular polygons. When compared with the independent variable, how many of the other three columns of the graphs represent a linear relationship?
(A)0 (B)1 (C)2 (D)3
Answer:
(C)2
Step-by-step explanation:
Given the independent variable (Number of sides of the polygon), we notice that out of the three other columns:
Number of Diagonals
- Slope=[tex]\frac{1-0}{4-3}= \frac{2-1}{5-4}=1[/tex]
Sum of all interior angles
- Slope=[tex]\frac{360-180}{4-3}= \frac{540-360}{5-4}=180[/tex]
Measure of each angle
- Slope=[tex]\frac{90-60}{4-3}\neq \frac{108-90}{5-4}\\30 \neq 18[/tex]
Therefore, the measure of each angle does not represent a linear relationship.
Only 2 columns represent a linear relationship.
The correct option is C.
See below for the table
