What is the mode of 10,9,10,9,10,8

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

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Answer:

D -- 210

Step-by-step explanation:

In degrees, 7π / 6 is 210°

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

210°

Step-by-step explanation:

To convert from radians to degrees :

Our radian measure is 7π/6.

Solving :

Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].

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Answer

Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.

Step-by-step explanation:

no step by step explanation

does that help??

The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

1) We have inequalities h > 150 and h < 160 for Lin height.

The height of the Lin varies between 150 cm to 160 cm because:

h ∈ (150, 160)

2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:

h < h' < 164

3) As the inequality for the Lin height: h > 150 and h < 160 or

h ∈ (150, 160)

And h < 164

So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.

Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

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Answer:

The answer is D.

Step-by-step explanation:

Find the boundary line, and then just shade the area.

y < 1/2x + 2

Answer:

d

Step-by-step explanation:

2023

Answer:

The data is more spread out so their is a greater variability in the data.

Step-by-step explanation:

The Mean absolute deviation is large, then the data is more spread out  and there is greater variability in the data.

Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".

According to the question,

Formula for Mean absolute deviation = summation of ( absolute value of   xₙ - x⁻ divided by number of data values),     where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .

When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.

Hence, the Mean absolute deviation is large then there is greater variability in the data.

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Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

1. [tex]\frac{2}{3} -\frac{4}{9}[/tex]

2. Multiply [tex]\frac{2}{3}[/tex] by [tex]\frac{3}{3}[/tex] to get a denominator equal to [tex]\frac{4}{9}[/tex]

3. [tex]\frac{2}{3} *\frac{3}{3} =\frac{6}{9}[/tex]

4. [tex]\frac{6}{9}-\frac{4}{9} =\frac{2}{9}[/tex]

The expression is:  [tex]\frac{2}{3}*\frac{3}{3} -\frac{4}{9}[/tex]

Answer:

6/9-4/9

Step-by-step explanation:

ez pls mark branliest

Answer:

the first one

Step-by-step explanation:

1 x -4 = -4

3 x -4 = -12

and so on

Answer:

r=1

Step-by-step explanation:

1 is lower than for. The sign also suggests that its could be 4 as well

Distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}[/tex]

Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).

[tex]d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5[/tex]

Thus, the distance between the two points is 8.5

Answer:

  25.5

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(49°) = x/(22.2 m)

Multiplying by the denominator, we get ...

  x = (22.2 m)tan(49°) ≈ 25.5 m

The unknown side is about 25.5 meters.

Answer:

Step-by-step explanation:

Width

Length

Answer:

$3,520

Step-by-step explanation:

If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:

The scale given is 1 in : 16 ft, therefore dimensions of room scaled up:

Therefore, the area of the Dining Room = 16 × 20 = 320 ft²

Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:

Total cost = area × cost per ft²

                = 320 × $11

                = $3,520

Answer: 21 ft

Step-by-step explanation:

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0

Answer:

32

Step-by-step explanation:

First, let's find angle 6 as we will need that to find angle 8.

angle 6 = 180 - 122 = 58(straight line angles equal to 180)

now sum of angles in a triangle = 180

so angle 8 = 180 - 90 - 58

                  = 32

Hope it helps:)

Answer:

32°

Step-by-step explanation:

We know that the exterior angle of the triangle is equal to the sum of the interior opposite angles.

Therefore,

< 1 + < 8 = 122°

Also, given that,

<1 = 90°

So,

< 1 + < 8 = 122°

90° + < 8 = 122

< 8 = 32°

Step-by-step explanation:

Pam made a mistake when multiplied fractions.

Correct way of multiplication involves the multiplication of both numerator and denominator.

She should have written

[tex]\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}[/tex]

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

Answer:

17

Step-by-step explanation:

85/5=17

8,00,000 + 10,000 + 2,000 + 4

Eight Lack Twelve Thousand And Four

800,000 + 10,000 + 2,000 + 4

Eight Hundred And Twelve Thousand And Four

ANSWER

solution

here,

Correct option is B)

Total age of 40 old students =40×15=600years.

Total age of 40 old and 10 new students =50×15.2=760years

∴ Total age of 10 new students =760−600=160years

∴ Required average age =

10

160

=16years

Answer:

16 years is the answer

Step-by-step explanation:

My account got deactivated I am about to cry

49, 36, 25, 16, 9, 4

============================================================

Explanation:

We always start with n = 1 when it comes to sequences and series problems.

Plug in n = 1 to get

[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]

The first term is 49, showing that the answer is choice C.

We can stop here, but I'll show how to do another one to help you get practice.  Plug in n = 2.

[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]

I'll let you compute the other terms.

Answer:

49,36,25,16,9,4

Step-by-step explanation:

First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.

Foil out the equation:

a=(n-8)^2

a=(n-8)(n-8)

a=n^2-8n-8n+64

a=n^2-16n+64

Now find the values by substituting values n>=1:

49=1^2-16(1)+64

36=4-32+64

etc.

Answer:

See below ↓↓↓

Step-by-step explanation:

Part A

Total length = Side 1 + Side 2

Part B

Length of 3rd side = Perimeter - [Side 1 + Side 2]

Part C

Yes, as the resulting polynomial has a finite value we can conclude that polynomials are closed under addition and subtraction.

Part A: The total length of the two sides of the triangle is [tex]5x^2+7x-4[/tex]. This is obtained by adding the given two sides.

Part B: The length of the third side is [tex]5x^3-x^2-8x+1[/tex]. This is obtained by subtracting the sum of two sides from the perimeter of the triangle.

Part C: Yes, the Part A and Part B answers show that the polynomials are closed under addition and subtraction. This is because the expressions have like terms.

Given that, a triangle has two sides of length [tex]3x^2-2x-1[/tex] and [tex]9x+2x^2-3[/tex]

The perimeter of the triangle is [tex]5x^3+4x^2-x-3[/tex]

Part A:

To find the total length of two sides, adding the two side

⇒ [tex](3x^2-2x-1)+9x+2x^2-3\\[/tex]

⇒ [tex]5x^2+7x-4[/tex]

(adding the like terms w.r.t their sign)

Part B:

To find the length of the third side, subtract the sum of two sides from the perimeter.

⇒ [tex](5x^3+4x^2-x-3)-(5x^2+7x-4)[/tex]

⇒ [tex]5x^3-x^2-8x+1[/tex]

Part C:

From Part A and Part B, it is proved that the polynomials undergo addition and subtraction. Hence, it is justified.

Therefore, Part A, Part B, and Part C were obtained.

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Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups

Answer:

153.86

Step-by-step explanation:

The area of a circle is π[tex]r^2[/tex].

Since the radius of that circle, and we are using 3.14 for π, we get:

[tex]3.14 * 7^2 = 153.86[/tex]

Answer:

Technically you should get :153.94

But for your answer choice its the 2nd one.

Step-by-step explanation:

area=πr^2

Which means that you would plug in 7 for r.

Which means it would look like this: area=π7^2

Next you would square 7 which comes out to 49

Lastly multiply 49 time π (3.14)

6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

h(x)=3x-2 in (0,7)

h(6)=3(6)-2=18-2=16