Work out the angles marked x in each diagram you must show your working

Answer:

-6

Step-by-step explanation:

1. Always do the parentheses first. solve 8-2 to get 6.

-(8-2) =  -(6) = -6

1. simplify inside parentheses

a) 8 - 2 = 6

2. multiply by whatever is outside the parentheses

a) (-1)(6) = -6

Let me know if you need me to clarify on something!

Answer:

b=3

Step-by-step explanation:

it is in the picture

Answer:

Step-by-step explanation:

=> 3(b - 4) = -3

=> 3b - 12 = -3

=> 3b = -3 + 12

=> 3b = 9

=> b = 9/3

=> b = 3

Answer:

5a + 15

Step-by-step explanation:

2a + 3(a + 5)

open brackets

2a + 3a + 15

5a + 15

Answer:

[tex]t=\frac{2C}{c1-c2}[/tex]

Step-by-step explanation:

[tex]C=\frac{1}{2}t(c1-c2)\\2(C)=2(\frac{1}{2}t(c1-c2))\\2C=t(c1-c2)\\\frac{2C}{c1-c2}=\frac{t(c1-c2)}{c1-c2}\\t=\frac{2C}{c1-c2}[/tex]

Answer:

[tex]t=\frac{2C}{c_{1}-c_{2}}[/tex]

Step-by-step explanation:

[tex]C=\frac{1}{2}*t(c_{1}-C_{2})\\\\[/tex]

Multiply both sides by 2,

[tex]2*C=2*\frac{1}{2}*t*(c_{1}-c_{2})\\\\2C=t*(c_{1}-c_{2})\\\\\frac{2C}{(c_{1}-c_{2})}=t\\\\\\t=\frac{2C}{c_{1}-c_{2}}[/tex]

Answer:

a

Step-by-step explanation:

Since we have a negative slope, that means the correlation for the scatter plot also has to be negative.

Since the only scatter plot that has a negative correlation is graph A, a is our answer.

Answer: The answer is that the length is square ft, and the width is  .

Step-by-step explanation:

The length and width of the wall of the barn are 18, 9

The area of rectangle is product of length and width

Given area of rectangle is 90 ft²

given length = 8 ft + 2ₓ width

l = 8 +2 w

area = l × w

90 = (8 +2 w) × w

90= 8w +2w²

2w²+ 8w -90 =0 or w²+4w - 45 =0

On solving w= 9, -5

as width cannot be negative so w= 9

l= 8+2×9

l=26

Thus the length and width of the wall of the barn are 18, 9

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Answer:

5/8

Step-by-step explanation:

1 man, 4 women out of 8 people total

Answer:

17600 people.

Step-by-step explanation:

Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.

The area of the parade route will be

5280 × 10 = 52800 ft^2

If the average person takes up 3 square feet of space, then, divide the area by 3. That is,

52800 / 3 = 17600 people.

Therefore, the estimate for the number of people who can attend the parade will be 17600 people.

Answer:

Answer as a fraction. Do not include spaces in your answer.

1st question

-31/15

2nd question

19/40

3rd = Answer as a decimal with four decimal places

0.8333…

4th = fraction

5th =rational

6th =rational

Step-by-step explanation:

edge 2021

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be reduced to 0.8333.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be written as shown below,

[tex]2.5 \times 0.\bar3[/tex]

= (25/10) × (1/3)

= 25/30

= 5/6

= 0.8333....

Hence, the given expression can be reduced to 0.8333.

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Answer:

Step-by-step explanation:

S = 180 × ( n - 2)

To solve for n divide both sides by 180°

That's

Add 2 to both sides in order to isolate n

That's

We have the final answer as

Hope this helps you

Answer: A. $7.14

Step-by-step explanation:

price × percentage of sales tax=amount of tax

89.25 × 8%=$7.14

Hope this helps!! :)

Please let me know if you have any question

Answer:

f(x)=2600x+1500 at least I think because it's 2600 per person

Tu tenías $825.

Dado que tu tenías $50, tu mamá te dio $100, tu papá te dio $500, tus tíos te dieron $100 y tu tenías otros $75, para determinar cuanto dinero tenías en total se debe realizar la siguiente operación matemática, consistente en una suma:

Por lo tanto, en total tu tenías $825.

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Answer: 2 circles and a rectangle

Step-by-step explanation:

Answer:

f(3) = 24

Step-by-step explanation:

substitute X for 3.

F(3) = 3 * (2) ^3

= 24

Answer:

x-6 = -4

Step-by-step explanation:

3x - 8= -2

Add 8 to each side

3x - 8+8= -2+8

3x = 6

Divide by 3

3x/3 = 6/2

x =2

We want to find x-6

2-6 = -4

Answer: - 4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6/3

x = 2

so, therefore x - 6 => 2 - 6 = -4

Answer:

12 + (1.50 multiplied by x)

Step-by-step explanation:

You have 12 dollars as the base. For every x days (x is the amount of how many days) he'd save $1.50. For one day, he'd save 1.50 plus his 12 dollars. Two days, he'd save 12 + (1.50 x x). Three, it'll be 12 + (1.50 x x) and so on.

I hope this helped. :)

Answer:

55

Step-by-step explanation:

98+27+x=180

Answer:

Step-by-step explanation:

x + 98° + 27° = 180

x + 125° = 180°

x = 55°

Answer:

420 inches of space in all equal length width and height

Step-by-step explanation:

Because 4+3+7 = 14 x 30

it all equals up to 420

Mr. Jones will need 420 inches of space in all equal length, width, and height.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have been given that the tissue box dimensions are 4, 3, and 7

If the class brought in a total of 30 boxes.

So the required space would be : (4+3+7)×30 = 14 × 30

it all equals up to 420.

Hence, he will need 420 inches of space in all equal length, width, and height.

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Answer:

6 + 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(3 + [tex]\sqrt{3}[/tex] )(2 + [tex]\sqrt{2}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

3(2 + [tex]\sqrt{2}[/tex] ) + [tex]\sqrt{3}[/tex] (2 + [tex]\sqrt{2}[/tex] ) ← distribute both parenthesis

= 6 + 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex]

Answer:

45°

Step-by-step explanation:

gradient of the line:

Let A (-1,-3) and B (5,3)

tan a = (yB - yA) / (xB - xA) = (3 - -3) / (5 - -1) = 6/6 = 1

--> the angle made by the line and positive direction of x-axis is:

[tex]a = { \tan}^{ - 1} (1) = 45[/tex]

Answer:112

Step-by-step explanation: Line SW is 180 degrees since it is a straight line. Subtract angle TBU 18 and angle UBW 50 from line SW 180 to get angle SBU which is 112.

Answer: The average difference of weights of all 48 eggs from mean eight is 0.08.

Step-by-step explanation:

The mean absolute deviation of a data interprets the mean distance between each data point and the mean.

When this distance goes larger it means data has greater variability

Given, 48 large eggs have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces.

It means that the average difference of weights of all 48 eggs from mean eight is 0.08.

Answer:

C

Step-by-step explanation:

The slope is 1400. And the y intercept is 5000 because when x=0 y=5000. And if you multiply 1400 by 4 and then add 5000 you get 10,600 lbs for the weight at 4 weeks.

The slope is 1400 and the y-intercept is 5000 of the linear equation which is the correct answer would be option (C) y = 1400x + 5000; 10,600 lbs.

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

We have to determine the slope and y-intercept of the linear equation that models this data,

Week       Weight (lbs)

0                 5000

1                 6400

2                 7800

3                 9200

Slope  = (7800 - 6400)/(2 - 1) = 1400

There is a 1400 slope.

And since y=5000 for x=0, the y-intercept is 5000.

So the equation of a baby whale’s weight at 4 weeks is y = 1400x + 5000

Hence, the correct answer would be option (C)

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Answer:

Step-by-step explanation:

-2x + 5 = 3

-2x = -2

x = 1

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

Answer:

9 7/12

Step-by-step explanation:

1 3/4 + 3 1/3 + 4 1/2

1 + 3 + 4 = 8

8 + 3/4 + 1/3 + 1/2

8 + 9/12 + 4/12 + 6/12

8 + 19/12

8+ 1 7/12

9 + 7/12

9 7/12