Below are two parallel lines with a third line intersecting them.
34°

Answer:40

Step-by-step explanation:

Answer: A = 216; B = 35

Step-by-step explanation:

Based on the information given in the question, we can then make it into a mathematical equation. This will be:

A + B = 251 ....... i

A - B = 181 ....... ii

From equation i,

A = 251 - B

Put the value of A into equation ii

A - B = 181

(251 - B) - B = 181

251 - B - B = 181

251 - 2B = 181

2B = 251 - 181

2B = 70

B = 70/2

B = 35

Since A = 251 - B

A = 251 - 35

A = 216

Answer:

16.46

Step-by-step explanation:

subtract 315.24-200=115.24

then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.

Answer:

11:45

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The line a is an illustration of a linear function

From the complete figure, we have the following points on line a

(x,y) = (0,2) and (2,4)

The slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{4 - 2}{2 - 0}[/tex]

Evaluate

m = 1

Hence, the slope of line a is 1

This is calculated as

y = m(x - x1) + y1

So, we have:

y = (x - 0) + 2

Evaluate the difference and the product

y = x + 2

Hence, the equation of the line a is y = x + 2

See attachment for the graph of line a

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Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

if the question is asking what is X then the answer is

X - 3 >-25

X >-25+3

X >-22

Answer:

37.4

Step-by-step explanation:

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

Answer: 4

Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.

Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.

Answer:

Step-by-step explanation:

First solve for the common ratio:

[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]

Use the geometric summation equation to solve for sum:

[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]

The sum of the first 6 terms of the following series is 540.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

The common ratio of the sequence is;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]

The sum of the first 6 terms of the following series is;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]

Hence, the sum of the first 6 terms of the following series is 540.

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Answer:

9 and -5

Step-by-step explanation:

Answer:

1. 12

2. 0

3. 9

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

120/30=4

12 volunteers already signed up.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

She knows that finishing the shed will take 120 work hours.

let n be the number of volunteers.

So, 1/n - 1/(n+1)= 1/120

(n+1-n)/n(n+1)= 1/120

1/n²-n = 1/120

n² - n= 120

n² - n -120= 0

n= 11.46 and n= -10.46

Thus, 12 volunteers already signed up.

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Answer: 30

Step-by-step explanation:

4 (12 - 7 ) + 10

Do 12 - 7 first.  It'll equal 5

4(5)+10

Now multiply 4 and 5.

It'll be 20.

20+10 =30

Answer:

30

Step-by-step explanation:

4(12-7)+10          or:         4(12-7)+10

48-28+10                          4(5)+10

20+10                                 20+10

30                                        30

you can do it either way  hope this helps

Answer:

21.5 feet

Step-by-step explanation:

d = Distance of the bottom of the tower to the point of observation

x = Height of the top section of the tower

a = Height of bottom section

b = Total height of tower

[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]

[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]

[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]

The height of the top section of the tower is 21.5 feet.

Answer: I believe it is the X axis. <3

Step-by-step explanation:

Answer:

choice 1) 2x - 7

Step-by-step explanation:

(8x - 28)/4 = 2x  -7

Answer:

X = -1, 3

Step-by-step explanation:

Answer:

A and B are equivalent to -96x + 120

Step-by-step explanation:

-96x + 120

A. 8 (-12x + 15)

8 * -12x = -96x

8 * 15 = 120

8 (-12x + 15) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

B. -12 (8x - 10)

-12 * 8x = -96x

-12 * -10 = 120

-12 (8x - 10) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

C. -8 (12x + 15)

-8 * 12x = -96x

-8 * 15 = -120

-8 (12x + 15) = -96x-120

-96x + 120 ≠ -96x - 120

Not Equivalent

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

28/4=7 therefore, each ticket is $7.

Answer:

B, C

Step-by-step explanation:

A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.

B is right due to the fact that each ticket is $7 if you divide $28 by 4.

C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)

D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:66

Step-by-step explanation:

66

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches