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3 years ago

The measures of two complementary angles are (3y − 1)° and (4y + 7)°. Determine the value of y. (Type number only)

Mathematics

1 answer:

blondinia [14]3 years ago

5 0

Answer:

y = 12

Step-by-step explanation:

Complementary angles sum to 90 , so

3y - 1 + 4y + 7 = 90

7y + 6 = 90 ( subtract 6 from both sides )

7y = 84 ( divide both sides by 7 )

y = 12

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A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

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Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

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From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

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Factoring:

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$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

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