If the polygons are similar then the sides are in proportion.

Therefore we have the equations:


Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Answer: 
Explanation:
Multiplying by 1/2 is the same as dividing by 2.
For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say 
The fraction 1/2 converts to the decimal form 0.5, which means 
Answer:
Step-by-step explanation:
A.AAS
B.
∠TSU=∠RQU
∠TUS=∠RUQ
TU=RU
Answer:
They need to deposit $31,172.49
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time the money is invested or borrowed for, in years.
In this problem
We want to find P for which
when 
So





They need to deposit $31,172.49