Answer:
72º
Step-by-step explanation:
In order to calculate this you have to remember that the center angle of any polygon measures 360º, so what we do is just divide those 360 by the number of angles that you will find in the polygon, the number of angles equals the number of sides, so the pentagon has 5 sides, it will also have 5 angles. So we just divide the 360/5=72
So the smallest angle of rotational symmetry that maps a regular pentagon onto itself will be 72º
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have 

substitute
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:
Bottom right
Step-by-step explanation:
All angles different, and all angles are smaller than 90 degrees
Answer:
Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=3/2.
Step-by-step explanation:
The associative property of multiplication deals with moving the parentheses around different terms. The numbers remain in the same order. If you move the numbers’ order around, you’re using the commutative property. (They “commute” to a different place in the expression).
So 2(8 * 5) is regrouped and simplified
2(8 * 5) = 2(40) = 80