Question

The graphs below shows some properties of regular

Answer 1

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=$\frac{1-0}{4-3}= \frac{2-1}{5-4}=1$

Sum of all interior angles

• Slope=$\frac{360-180}{4-3}= \frac{540-360}{5-4}=180$

Measure of each angle

• Slope=$\frac{90-60}{4-3}\neq \frac{108-90}{5-4}\\30 \neq 18$

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

Answer 2

Answer:

C

Step-by-step explanation: