In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis.
In step 4, multiplication is done.
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =

Area of large shaded circle =

Area of 4 small shaded circles =

Total area of shaded circles =

Shaded area as a fraction of that of the outer circle
Answer: 50%
Step-by-step explanation:
In 2010 the percentage of fatal accidents was 16%.
This is 34% less than it was in 2000 because the text says that the 2010 percentage was 16% after being reduced by 34% from 2010.
The percentage of fatal accidents in 2000 is therefore:
= 2010 fatal percentage + Percentage reduced from 2000
= 16% + 34%
= 50%
Think of this as (1/5)x - 4 = -75, where x is the number that we are trying to figure out. To figure this out, we want to get x by itself, so we can go:
(1/5)x=-71
x=-71*5
x=-355
So your number is -355
A square is a geometrical figure that has 4 congruent sides and angles. This means all side lengths and angles are the same.
A rectangle is a geometrical figure that has 4 similar sides but are not the same length. However, a rectangle does have congruent angles. A rectangle has 2 sides that are double the other 2 sides, in which both of each (length & width) have the same measurement.
I hope this helps!