In the triangle shown, 
is a right angle.Explain why 
and 
are complementary.
What will be an ideal response?
The sum of the angles of a triangle is 180. With 
being a right angle. 
.
being a right angle. .Then 
. By subtraction, 
.
Thus, 
and 
are complementary.
Mathematics
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Graph the parabola or ellipse. Include the directrix that corresponds to the focus at the origin.r = 
A. 
B. 
C. 
D. 
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Use implicit differentiation to find dy/dx.xy + x = 2
A. - 
B. - 
C. 
D. 
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Use a calculator to solve the equation on the interval 0 ? ? < 2?. Round the answer to two decimal places.5 sin ? + 2 = 0
A. 3.55, 5.87 B. 1.98, 4.30 C. 2.73, 5.87 D. 1.98, 5.12
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Simplify the expression. Leave answers with exponents.57 ? 53
A. 2521 B. 2510 C. 510 D. 521
Mathematics