Answer by Mikaatkinsbootiful:

Answer:
2144.66 would be the correct answer
Step-by-step explanation:
Answer:
This looks like a quadratic root problem on first glance, lets simplify it.
Distribute the 3.
-5 + 3b + 27b - 15 + 9b^2
Simplify like terms of b.
-5 + 30b - 15 + 9b^2
Simplify constants
30b - 20 + 9b^2
Rearrange it so its easier to tell
9b^2 + 30b - 20
Now solve for the roots,
which gets you x = .5694 & x= -3.902
Let
x------> number of men in the dance recital
y------> number of women in the dance recital
we know that
-------> equation 
-------> equation 
Substitute equation
in equation 


therefore
<u>the answer is</u>
There are
in the dance recital
<em><u>Answer</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em><em><u> </u></em><em><u>opti</u></em><em><u>on</u></em><em><u> </u></em><em><u>3</u></em><em><u>r</u></em><em><u>d</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em><em><u> </u></em>
Step-by-step explanation:
∆FGE ~ ∆ JKL
i.e, Angle FGE = angle JKL = 63°
and angle GEF = angle KLJ = 29°
also, angle GFE = angle KJL = 88°
so, the ∆FGE ~ ∆ JKL by AA property of similarity !!
• not other options because if we take corresponding angle they are not equal
For eg. for ∆ EFG ~ ∆ JKL
the angle EFG must be equal to angle JKL to be similar !!
but they are not equal !!
so, they are not similar !!
and such ,all other options except 3rd is wrong !!