Answer:
Area of the region = 15.03 in²
Step-by-step explanation:
Area of region between a regular hexagon with sides 6" and circle inscribed.
So Area of region = Area of regular hexagon - area of circle
Now area of regular hexagon = 
where a = side of the hexagon = 6"
Now area of regular hexagon =
= 93.53 square in.
Area of circle inscribed = πr²
Here r is the radius of the circle = 
r = 5"
So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.
Now area of region = 93.53 - 78.5 = 15.03 in²
Answer:

Step-by-step explanation:
<u><em>The question is</em></u>
Find the measure of angle x
we know that
In this problem
----> by alternate interior angles
Because, each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.
Answer:
0
Step-by-step explanation:
Isolate the variable x. First, distribute 3 to all terms within the parenthesis.
3(2x + 3) = 3(2x) + 3(3) = 6x + 9
6x + 9 = 9
Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. First, subtract 9 from both sides.
6x + 9 (-9) = 9 (-9)
6x = 0
Divide 6 from both sides.
(6x)/6 = (0)/6
x = 0
0 is your answer.
~
3x^2 + 21x
Is the answer without a doubt.
Since A is (-7,-4) and C is (7,3) for the x value from a to c is 14 for the y value from a to c is 7
Do 14 x 2/7 which is 4
Do 7 x 2/7 which is 2
then add (-7+4,-4+2) which is (-3,-2)