Question

1. describe and correct the students error. solve for x. (6x - 11)° 107° 6x - 1 = 107 6x = 96 x = 2

Explanation:

Step1: Identify the correct equation

The angles $(6x - 11)^{\circ}$ and $107^{\circ}$ are corresponding angles (assuming the lines are parallel), so the correct equation should be $6x-11 = 107$.

Step2: Solve the equation for x

Add 11 to both sides of the equation:
$6x-11 + 11=107 + 11$
$6x=118$
Then divide both sides by 6:
$x=\frac{118}{6}=\frac{59}{3}\approx19.67$

Answer:

$x = \frac{59}{3}$