Since we know that all angles in a triangle add up to $180^{\circ}$ , we can solve for $x$ and substitute it back into $(x-5)^{\circ}$ to find $m\angle O$ .

$\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}$

Remove the parentheses and combine like terms.

$\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}$

Add $12$ to both sides of the equation.

$\begin{aligned}12x-12&=180\\12x&=192\end{aligned}$

Divide both sides of the equation by $12$ .

$\begin{aligned}x=16\end{aligned}$

Now that we have the value of $x$ , we can substitute it back into $(x-5)^{\circ}$ to find $m\angle O$ .

$\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}$

7 0

3 years ago

GEOMETRY. HOW TO GRAPH

Lemur [1.5K]

Answer would be y = 1/2x -1.
the y-intercept is given by the point, and to find slope, u flip the flip the slope it gave u and flip the sign too. its called finding the reciprocal.

5 0

3 years ago