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3 years ago

Angles 1 and 2 are supplementary.

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

m∡1 + m∡2 = 180

Step-by-step explanation:

m∡1 + m∡2 = 180

This is because supplementary means they add up to 180°.

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Find the average rate of change.<br><br> p(x) = 6x + 7 on [2, 2 + h] , h ≠ 0

siniylev [52]

Answer:

Step-by-step explanation:

This is [p(2+h)) - p(2) ] / ((2 + h - 2)

= [ 6(2) + h) + 7 - (6(2) + 7)] / h

= ( 12 + 6h + 7 - 12 - 7) / h

= 6h / h

= 6.

4 0

3 years ago

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Anastaziya [24]

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

Step-by-step explanation:

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Kryger [21]

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3 years ago

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

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3 years ago

Jordan invests £16200 into his bank account

atroni [7]

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

6 0

3 years ago