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2 years ago

I’ll give 50 points if you can help

Mathematics

2 answers:

Alex17521 [72]2 years ago

7 0

Answer:

x = 6 degrees

Step-by-step explanation:

A straight line is 180 degrees and we can make out three angles the form it, this means the three of them add to 180 using the straight angle theorem:

5x + x + 54 + 90 = 180

6x + 144 = 180

6x = 36

x = 6

lbvjy [14]2 years ago

5 0

Answer:

Simplifying

5x + x = 54

Combine like terms: 5x + x = 6x

6x = 54

Solving

6x = 54

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '6'.

x = 9

Simplifying

x = 9

Step-by-step explanation:

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Write 10 9 as a decimal. Round to the nearest thousandth if necessary.

svet-max [94.6K]

Answer:

If you mean 10/9 then the answer should be 1.1 repeating itself

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If f(x) = x2 - 2x and g(x) = 6x + 4 for which value of x does (t +g)(x)=0

Vinil7 [7]

Answer:

-2

Assumption:

Find the value of x such that $(f+g)(x)=0$ .

Step-by-step explanation:

$(f+g)(x)=0$

$f(x)+g(x)=0$

$(x^2-2x)+(6x+4)=0$

Combine like terms:

$x^2+4x+4=0$

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.

$(x+2)(x+2)=0$

$(x+2)^2=0$

So we need to solve:

$x+2=0$

Subtract 2 on both sides:

$x=-2$

Let's check:

$(f+g)(-2)$

$f(-2)+g(-2)$

$((-2)^2-2(-2))+(6(-2)+4)$

$(4+4)+(-12+4)$

$(8)+(-8)$

$0$

0 was the desired output of $(f+g)(x)$ .

7 0

2 years ago

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have