Answer:
1.(b)
2.(b)
3. (d) 4cm
4.(a)
Explanation :
The polygons will have the same shape and size, but one may be a rotated, or be the mirror image of the other.Polygons are congruent when they have the same number of sides, and all corresponding sides and interior angles are congruent.
Let's call bicycles 'b' and unicycles 'u'
Note that bicycles have 2 tires, and unicycles have 1 tire.
We can make two equations:
b = u + 8
2b + 1u = 46
Solving the first equation for u, we get:
u = b - 8
Plug that equation into the second, and we get:
2b + (b - 8) = 46
Subtract 2b on both sides.
1(b - 8) = 46 - 2b
Basically, I used b and your question used n.
The correct answer is: D. 1(n - 8) = 46 - 2n.
Remark
You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.
The fastest speed I can find is 100 meters in 46.91 seconds. That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.
Givens
Set up a proportion with the numbers found and given
Speed of ball / speed of swimmer = 21.12 / 1
Speed of ball = x
Solution
Speed of swimmer = 2.132 m/s
x / 2.132 = 21.12 / 1 Multiply Both sides by 2.132
x = 21.12 * 2.132 / 1
x = 45.02 m/s
Answer
45.02 m/s
I believe the value of log3 729 is 6
4/7, because both the numerator and denominator can be divisible by 3.