Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
<h3> 1/2 x perimeter x apothem</h3>
<em>Perimeter = the sum of the lengths of all the sides </em>
<em>Suppose length of one side = x</em>
<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>
<em />
Since the polygon have 6 sides so
perimeter = 6x
<h3>x = 2(8√3)/√3</h3>
x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
<h3>1/2 x 96 x 8√3</h3>
384√3 in²
Answer:
x = 9
Step-by-step explanation:
when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.
since vertical angles are always congruent, 3x - 8 is equal to 2x + 1
3x - 8 = 2x + 1
add 8 to each side
3x = 2x + 9
subtract 2x from each side
x = 9
check your answer:
3x - 8 = 2x + 1
3(9) - 8 = 2(9) + 1
27 - 8 = 18 + 1
19 = 19
Check the picture below. part 1 and 2 are there.
part 3)
