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2 years ago

What is the value of x and what type of angle is it ?

Mathematics

1 answer:

meriva2 years ago

6 0

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

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Divide.

STatiana [176]

Answer:

189

Step-by-step explanation:

Step 1: the output value is 105

x=1.8% 105=100 (1) x=1.8% (2)

4 0

2 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation

Olenka [21]

Answer:

y = $\frac{49}{3}$

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 7 when x = 3

k = $\frac{y}{x}$ = $\frac{7}{3}$ , thus

y = $\frac{7}{3}$ x ← equation of variation

When x = 7, then

y = $\frac{7}{3}$ × 7 = $\frac{49}{3}$

8 0

2 years ago

Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

Here is a balanced hanger diagram in which a circle has a mass of 3 grams and a square has a mass of 2 grams.

iris [78.8K]

Answer:

(

)

(

)

(

)

(

)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Simplified form of 12x-1 = 2(6+5x) +7

horrorfan [7]

X=10

12x-1=12+10x+7
2x=20
X=10

4 0

2 years ago