Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that, 
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. 
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon. 
A pentagon is shown inside a regular hexagon. 
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square. 
- Area of second shaded region = Area of the square - Area of equilateral triangle   
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region 
 Hence,        
⇒ Shaded area  = area of the hexagon – area of the pentagon + area of the  square – area of the equilateral triangle.
   
Learn more about area of a shape here:
brainly.com/question/16501078
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Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA 
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134 
 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x
with our equation being y = 5x + 5
hope this helps <3