Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation

Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
There are 13 diamonds in the deck, so
ways of drawing 3 diamonds.
There is a total of
ways of drawing any 3 cards from the deck.
So the probability of drawing 3 diamonds is

where
.
These are not similar. For them to be similar, they need to exist in proportion to each other for every single side. The ratio of the 12:9 sides is 4:3 when reduced. The ratio of the other 2 sides is 5:3. They all have to have the same ratio for them to be similar.
Answer:
72+ 18x
Step-by-step explanation:
9x+72+5x+4x
72+ 18x
Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012