Let
x--------> the number of blue beads
y--------> the number of red beads
we know that

-------> equation 
------> equation 
equate equation
and equation 

find the value of x

therefore
the answer is
Ivan has

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have

In order to find XY, we have

So, the ratio for the sine is

They must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary
Answer:
2(x+6)(x+6)
Step-by-step explanation:
splitting the middle term:
2x²+12x+12x+72
then2x(x+6)+12(x+6)
=(2x+12)(x+6)
=2(x+6)(x+6)(by takin common factor out)
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