Q41. - Algebra 2

Question

Use the equation $\mathbf{d}=\mathbf{180}\left(\mathbf{c}-\mathbf{2}\right)$ that gives the total number of degrees $\mathbf{d}$ in any convex polygon with $\mathbf{c}$ sides.

Write this equation in slope-intercept form.

Step-by-Step Solution

Answer

The given equation in slope-intercept form is $d=180c-360$

Step 1 – State the concept

The slope intercept form of a straight-line equation is $y=mx+c$ where $m$ is the slope and $c$ is the y-intercept

Step 2 – List the given data

The given equation is $d=180\left(c-2\right)$, where $c$ is the number of sides of a convex polygon and$d$ is the total number of degrees

Step 3 – Write the equation

$d=180\left(c-2\right)$  (Given equation)

 $d=180c-360$   (Distributive property)

 So, the required equation in slope-intercept form is $d=180c-360$