Answer:
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Step-by-step explanation:

Answer: FIRST OPTION.
Step-by-step explanation:
Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.
By definition each interior angle of a Regular polygon,is:
(In degrees)
Where "n" is the number of sides of the polygon.
Observe the Regular polygon given in the exercise.
Since it has 6 sides, you can conclude that it is an Hexagon. Then:

Substituting into
and evaluating, you get:

Knowing this, you can write the following equation:

Finally, you must solve for "x" in order to find its value. This is:

Answer:
x = ±sqrt(5/2)
Step-by-step explanation:
6x^2−2=13
Add 2 to each side
6x^2−2+2=13+2
6x^2 = 15
Divide each side by 6
6/6x^2 = 15/6
x^2 = 5/2
Take the square root of each side
sqrt(x^2) = ±sqrt(5/2)
x = ±sqrt(5/2)
Turn y - 4 = -2/3(x - 6) into a linear equation.
y - 4 = -2/3(x - 6)
y - 4 = -2/3x + 4
+4 +4
y = -2/3x + 8
The equation that is perpendicular to y = -2/3x + 8 is y = 3x + 4 as shown in the image below using a graph.