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melisa1 [442]
3 years ago
10

1. Find value of x and measure of each angle.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

x=10, 120

Step-by-step explanation:

5x+70=7x+50

-5x        -5x

70=2x+50

-50     -50

20=2x

----  ----

2      2

10=x

5(10)+70=7(10)+50

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The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Arturiano [62]

Answer:

(4x - 3)(3x² + 1)

Step-by-step explanation:

Given

12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )

= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term

= (4x - 3)(3x² + 1) ← in factored form

8 0
3 years ago
(3x + 3x²) + (2x² + 2x)?​
Galina-37 [17]

Answer:

=5x2+5x

Step-by-step explanation:

Let's simplify step-by-step.

3x+3x2+2x2+2x

8 0
3 years ago
2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea
Maru [420]

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = \frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = \frac{4. 25 + 4. 75}{2}

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = |(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |

MAD = 1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that  the mean and median are the most common measures of center.

A measure of variability is a single number that is  used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

#SPJ1

5 0
2 years ago
The question is in the picture, someone please answer this.
Lemur [1.5K]

Answer:

1) 25x + 15y = 750

2) 25. On a graph it would look like : (25,0)

3) 15.  On a graph it would look like : (15,0)

4) 25x - 750 = 15y or 15y - 750 = 25x

Step-by-step explanation:

6 0
3 years ago
Having some trouble with this...pls help (in fraction form)
Yuri [45]

Answer:

\frac{17}{6} or 2\frac{5}{6}

Step-by-step explanation:

1.Find the Least Common Denominator (LCD)

 LCD = 6

2.Make the denominators the same as the LCD.

   2+\frac{1*3}{2*3}  + \frac{1*2}{3*2}

3.Simplify. Denominators are now the same

   2+\frac{3}{6} + \frac{2}{6}

4. Join the denominators

   2+\frac{3+2}{6}

5.Simplify

   2\frac{5}{6} = \frac{17}{6}

4 0
3 years ago
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