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Oliga [24]
3 years ago
8

1. Find the value of x if m arc ADC= (4x + 4)° and m angle ABC= 150°.

Mathematics
1 answer:
Arada [10]3 years ago
8 0
The answer of the question is 74
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Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
3 years ago
Use the menu provided to answer the following question. If a student purchased 1 can of juice, 2 slices of pizza, 1 bag of peanu
pochemuha

Answer:

$8.25

Step-by-step explanation:

1.25+(2.25x2)+1.00+(1.25x2)=8.25

3 0
3 years ago
Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.
jarptica [38.1K]
\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby 
\begin{array}{llll}
\textit{now, we can do a quick synthetic}\\
\textit{division, since the divisor is}\\
x-3
\end{array}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrl}
3&&2&-5&2\\
&&&6&3\\
--&&--&--&--\\
&&2&1&\boxed{5}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
\textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1
4 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of each line.
gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-2}

The negatives cancel out which leave \frac{1}{2}

So the gradient is \frac{1}{2}


Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1  = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = \frac{1}{2}(x - 2)

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y =  -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
Which expression is equivalent to 2x2+(4x-6x2)+9-(6x+3)
olya-2409 [2.1K]

Answer:

-4x^2 -2x+6

Step-by-step explanation:

2x^2+(4x-6x^2)+9-(6x+3)

Distribute the minus sign

2x^2+4x-6x^2+9-6x-3

Combine like terms

2x^2 -6x^2 +4x -6x +9-3

-4x^2 -2x+6

8 0
3 years ago
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