Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
If their are 32 kids and their are 8 slices in a pizza then just divide 32 by 8 and you get 4. 4 pizzas for each student to get 1 slice each.

<u>We </u><u>have</u><u>, </u>
- Line segment AB
- The coordinates of the midpoint of line segment AB is ( -8 , 8 )
- Coordinates of one of the end point of the line segment is (-2,20)
Let the coordinates of the end point of the line segment AB be ( x1 , y1 ) and (x2 , y2)
<u>Also</u><u>, </u>
Let the coordinates of midpoint of the line segment AB be ( x, y)
<u>We </u><u>know </u><u>that</u><u>, </u>
For finding the midpoints of line segment we use formula :-

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>
- The coordinates of midpoint and one of the end point of line segment AB are ( -8,8) and (-2,-20) .
<u>For </u><u>x </u><u>coordinates </u><u>:</u><u>-</u>





<h3><u>Now</u><u>, </u></h3>
<u>For </u><u>y </u><u>coordinates </u><u>:</u><u>-</u>





Thus, The coordinates of another end points of line segment AB is ( -14 , 36)
Hence, Option A is correct answer
In the triangle ABE
step 1
Find out the measure of angle AEB
m by form a linear pair
mm
step 2
Find out the measure of angle ABE
m by alternate interior angles
step 3
Find out the measure of angle x
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
msubstitute given values
x+100+30=180
x=180-130
<h2>x=50 degrees</h2>
The answer is B. one hundred four and thirty two ten-thousandths