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Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer:

The measure of the Reference angle is 30vdegrees and the second answer should be Tan(0)=1

Step-by-step explanation:

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Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?

Likurg_2 [28]

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

$y = 2x-3\\x + y = 24$

We solve the system of equations.

For this, we use substitution:

$x + (2x-3) = 24$

From here, we clear the value of x:

$3x - 3 = 24\\3x = 24 + 3\\3x = 27$

$x = \frac{27}{3}\\x = 9$

Answer:

Maggie is 9 years old

4 0

3 years ago

Read 2 more answers

Please help me with this problem!!!

Lilit [14]

$3 {}^{4x - 5} = ( \frac{1}{27} ) {}^{2x + 10} \\ note \: \: that = \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3} \\ \\ 3 {}^{4x - 5} = (3 {}^{ - 3} ) {}^{2x + 10} \\ 3 {}^{4x + 5} = 3 {}^{ - 3(2x + 10)} \\ equal \: \: bases = > equal \: exponents$