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3 years ago

Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle

Mathematics

1 answer:

pashok25 [27]3 years ago

7 0

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.

$\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
2(30)=B\implies \blacktriangleright 60=B \blacktriangleleft$

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3 years ago

Find the zeros of polynomial function. f(x)=x^2-x-90

Fofino [41]

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So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.

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3 years ago

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Step-by-step explanation:

Let the first number be x and the second number be y.

From the first statement , it was said that one of the number is two more than the other , that is

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square of x is $x^{2}$ and the square of y is $y^{2}$ , the difference between thier squares implies

$x^{2}$ - $y^{2}$ = 24 .............. equation 2

solving the resulting simultaneous equations by substitution method:

From equation 1 , make x the subject of the formula , that is

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substitute equation 3 into equation 2 , we have

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