Choose the statement that is not true based on these diagrams.

38° + m∠2 + 108° = 180°

m∠A + 108° + 34° = 180°

m∠A = m∠2

m∠2 = 34°

Answer:

a + b = 16 or -16.

Step-by-step explanation:

a - b =  4

ab = 60  so a = 60/b

Substituting for a in the first equation:

60/b - b = 4

60 - b^2 = 4b

b^2 + 4b - 60 = 0

(b + 10)b - 6) = 0

b = 6, -10.

Therefore, from the first equation:

When b = -10 . a + 10 =4 giving a = -6 or

When b = 6, a -  6 = 4 giving a = 10.

So  when a = -6, b = -10  and

when a = 10, b = 6.

So a + b is either 16 or -16.

Answer:

20 t shirt

Step-by-step explanation:

In order to find the range we first have to list the numbers from least to greatest:

16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 24, 25, 25

range = largest value - smallest value = answer

range = 25 - 16 = 9

range = 19

so, our final answer would be 19.

~ i hope this helps you have a good day/night afternoon~ ~-gabby~

Answer: The answer is 23.

Step-by-step explanation:

Answer:

32.1869

Step-by-step explanation:

multiply 20 by 1.609

multiplying miles by 1.609  will give you the answer

Answer:

20 miles =32.1869

Step-by-step explanation:

For an approximate result multiply the length value by 1.609.

Answer:

sin(θ) = [tex]\frac{\sqrt{55} }{8}[/tex]

Step-by-step explanation:

See the attachment.

Cosine is adjacent over hypotenuse, so since cos(θ) = 3/8, then the adjacent side of the triangle is 3 and the hypotenuse is 8.

Since is opposite divided by hypotenuse. To find the opposite side, which is the unlabelled side on the graph, we need to use the Pythagorean Theorem:

x = [tex]\sqrt{8^2-3^2} =\sqrt{64-9} =\sqrt{55}[/tex]

So, sin(θ) = [tex]\frac{\sqrt{55} }{8}[/tex].

Hope this helps!

Answer:

B

Step-by-step explanation:

The following statement is true regarding a representative sample

"It is a group that is fairly proportional to the population".

What is the representative sample?

A representative sample is a subset of a population that is selected in such a way that it accurately reflects the characteristics of the entire population. The goal of a representative sample is to ensure that the sample is as representative as possible of the population as a whole so that the results of a study based on the sample can be generalized to the population.

A representative sample is not necessarily at least 1/2 of the total population (Option A) or focused on a specific group within the population (Option B). It is simply a group that is fairly proportional to the population, meaning that it contains a similar mix of characteristics as the population as a whole.

Hence, the correct answer would be an option (C).

To learn more about representative samples click here:

https://brainly.com/question/15085839

#SPJ3

Answer:

[tex]9 \times 2 - 16 \\ 18 - 16 = 2[/tex]

Given:

Number of mice and frequency

Mean = 7

To find:

The value of x.

Solution:

Number of mice = X

Frequency = Y

XY = Multiply X and Y values.

X         Y            XY

5         4            20

6         13           78

7         16           112

8          x            8x

9          6            54

Sum of Y = 4 + 13 + 16 + x + 6

               = 39 + x

Sum of XY = 20 + 78 + 112 + 8x + 54

                  = 8x + 264

Mean formula:

[tex]$Mean = \frac{\Sigma XY }{\Sigma Y}[/tex]

[tex]$7=\frac{8x+264}{39+x}[/tex]

Do cross multiplication.

[tex]7(39+x)=(8x+264)[/tex]

[tex]273+7x=8x+264[/tex]

Subtract 264 from both sides, we get

[tex]9+7x=8x[/tex]

Subtract 7x from both sides, we get

[tex]9=x[/tex]

The value of x is 9.

Step-by-step explanation:

[tex]m(arc \: JN) = 360 \degree - (60 \degree + 150 \degree) \\ \hspace{57pt}= 360 \degree - 210 \degree \\ \hspace{57pt} = 150\degree \\ \\ m \angle K = \frac{1}{2} \times m(arc \: JN) \\ \hspace{30pt}= \frac{1}{2} \times 150\degree \\ \hspace{30pt} = 75\degree \\ [/tex]

Answer:

73333.333

Step-by-step explanation:

100/4.5= 22.222

3300*22.222= 73333.333

Answer:

The bakery made a profit of $8,013 during the summer months

Step-by-step explanation:

A profit is made when income is greater than expenses while a loss is made when expenses are greater than income

A loss is a negative profit

In June

Income = $750

Expense:

rent = $890

Operating costs = $975

Total expense = $1,865

Profit = income - expense

profit = $750 - $1865

= -$1115

Therefore, a loss of $1115 was made in June

July

Income = $ 925

Expenses:

Rent = $890

Operating costs = $721

Total expenses = 1611

Profit = $925 - $1611

= -$686

A loss of $686 was made in July

August

Income = $11,250

Expenses:

Rent = $890

Operating costs= $546

Total expense = $1436

Profit = $11,250 - $1436

= $9,814

A profit of $9,814 was made in August

Now let's find the difference between the profit and losses that were made during the summer months. This will be the addition of the profit and losses of all three months

Remember that losses carry a negative sign

$9,814 -$686 -$1115 = $8,013

Therefore, the bakery made a profit of $8,013 during the summer months

Answer:

Omar

Step-by-step explanation:

to find the base, which i am to assume they want to find the triangle base based on the formula they are using,

you should multiply base * height, then divide by 2, since it is a triangle, you not solving for a rectangle.

dividing by 2 and multiplying by 1/2 is the same thing!

so,

1/2 (7* 24) is the right answer to finding the base!

Kari looked at he direct base of 7*28, however, that shape is actually a rectangle... so Kari is wrong because he multiplied that dimension by 1/2, which is the formula for a triangle.

Omar is correct because he chose the dimensions of a triangle, and properly used the triangle formula!

i hope this helped you out!

stay safe!

:)

Answer:

16

Step-by-step explanation:

the perimeter of the given rhombus is 8√5.

To find the perimeter of a rhombus, we need to calculate the sum of the lengths of all four sides.

Given the coordinates of the points touching the graph: (-5,-3), (-1,-1), (3,-3), and (-1,-5), we can calculate the distances between these points to find the lengths of the sides.

Let's calculate the lengths of the sides:

1. Side 1: Distance between (-5,-3) and (-1,-1)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-1 - (-5))^2 + (-1 - (-3))^2]

Length = √[4^2 + 2^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

2. Side 2: Distance between (-1,-1) and (3,-3)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(3 - (-1))^2 + (-3 - (-1))^2]

Length = √[4^2 + (-2)^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

3. Side 3: Distance between (3,-3) and (-1,-5)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-1 - 3)^2 + (-5 - (-3))^2]

Length = √[(-4)^2 + (-2)^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

4. Side 4: Distance between (-1,-5) and (-5,-3)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-5 - (-1))^2 + (-3 - (-5))^2]

Length = √[(-4)^2 + 2^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

Now, we can calculate the perimeter by adding the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 2√5 + 2√5 + 2√5 + 2√5

Perimeter = 8√5

Therefore, the perimeter of the given rhombus is 8√5.

Answer:

its

40 192 cm

Step-by-step explanation:

Answer:

40.192cm

Step-by-step explanation:

the circumference of a circle = ?

radius = 6.4cm

recall that,

circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x 6.4cm

circumference of a circle = 40.192cm

therefore the circumference of a circle whose radius is 6.4cm is evaluated to be equals to 40.192cm.

the answer to your question is option B 40.192cm

Answer:

35

Step-by-step explanation:

please mark brainiest

Answer to your question is:

B. 4

Explanation:

2 + 5 + 4 + 1 + 8 = 20

20 ÷ 5 = 4

The mean is found out by adding the scores given and dividing the total by the number of scores.

In the given question the mean of the scores is 4.

The mean is calculated to get an average about something that is given.

Here

n= number of scores= 5

Sum of scores = ∑x= 2+5+4+1+8= 20

Mean = x bar=  ∑x/n= 20/5= 4

For different distributions mean may or may not be the middle value.

https://brainly.in/question/8482715

https://brainly.com/question/12844003

The information given, y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches, is not enough to calculate the area of an object unless its shape is known. If it's a rectangular prism, the volume can be calculated. But without further information, we cannot provide a specific area calculation.

The type of area an object will have depends on its shape. For example, the area of a rectangle is given by width times height (w * h). Similarly, the volume of a rectangular prism would be length times width times height (l * w * h). However, the given dimensions in the question (y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches) are not enough to determine the shape of the object. We need additional information on how these dimensions are related to the shape of the object before we can calculate the area.

If for instance, this object is a rectangular prism, then we could calculate its volume. That volume would be y (depth) * z (width) * h (height). In this case with the provided values, the volume would be 11 inches * 14 inches * 7 inches = 1078 cubic inches.

Without more information on the object’s shape, we can’t make assumptions and provide a definitive calculation of the area.

https://brainly.com/question/34380164

#SPJ12

Answer:

33 1/3%

Step-by-step explanation:

When you roll a die, the possible outcomes are 1,2,3,4,5,6

getting a number less than 5: 1,2,3,4

P( getting a number less than 5)

         = number of outcomes that meet conditions / total outcomes

         =4/6

           = 2/3                                            

Then we flip a coin  heads or tails

We want heads

P (heads)  = number of outcomes that meet conditions / total outcomes

    = 1/2

Since the event outcomes do not depend on each other

P( getting a number less than 5) *P (heads) = 2/3 * 1/2 = 1/3

as a percent

= 33 1/3%

Answer:

the answer is 131.95m.

Answer:

Step-by-step explanation:

Circumference = πd                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

r = diameter/2

C= 42π = 42 XX22/7 =- 6x22=132m

Answer:

Step-by-step explanation:

51,480 is the answer.

Answer:

51,480

Step-by-step explanation:

66 x 26 = 1,716

1,716 x 60 = 102,960

102,960 x 1/2 = 51,480

Similar triangles are defined as two triangles having equal B. corresponding angles, shown by the congruence of vertical angles, alternate interior angles, and the application of the AAA theorem.

Similar triangles are two triangles with equal corresponding angles. According to the question, in the figure, two triangles named triangle ABC and triangle FCE are observed to be similar because they have three sets of congruent angles - vertical angles (Angle ACB \\<=\ Angle FCE), alternate interior angles (Angle CAB \\<=\ Angle CFE), and another set of alternate interior angles (Angle CBA \\<=\ Angle CEF).

This is summed up by the AAA (Angle Angle Angle) theorem which states that two triangles are similar if all their corresponding angles are congruent. An example will be two right triangles which are equal when the hypotenuse and an acute angle of one are equal, respectively, to the hypotenuse and an acute angle of the other. These principles help us understand the similarity of triangles in geometry.

Answer:

0.0769 or 7.69%

Step-by-step explanation:

Number of green crayons = 4

Number of yellow crayons = 6

Number of blue crayons = 3

Total number of crayons = 4 + 6 + 3

                                         = 13 crayons

[tex]Probability=\frac{\text{favorable outcome}}{\text{total number of outcome}}[/tex]

probability to get first green crayon P₁ = [tex]\frac{4}{13}[/tex]

Probability to get second crayon is blue P₂ = [tex]\frac{3}{12}[/tex]

P = P₁ × P₂

  = [tex]\frac{4}{13}\times \frac{3}{12}[/tex]

  = [tex]\frac{12}{156}[/tex]

  = 0.0769

Probability to get green then blue is 0.0769 or 7.69%

Answer:

to me should be statistical question

Step-by-step explanation:

not statistical would be only getting one answer but you could have the height in inches, centimeters, feet, meters, etc. which would count as more then one answer being statistical

Answer:

B. About 50% of the days in January had average temperatures between 66 and 75 degrees.

The box ranges from 66 to 75... meaning that most of the days were in those temperatures.

The lines mean that there were only a few days that were in those temperatures.

You're welcome if I'm correct.

The correct answer is about 50% of the days in January had average temperatures between 66 and 75 degrees.

A Box and Whisker Plot (also known as a Box Plot) is a visual representation of data distribution through quartiles.

In the graph given in the question we can clearly see that the interquartile range of the data is lying between the temperatures 66° to 75°, which means that 50% of days in January had the temperature between 66 to 75 degrees.

Hence, Option(c) is correct for the given question.

Learn more about quartiles on:

https://brainly.com/question/11850663

#SPJ2

Answer:

A' (-3,7)

B' (0,10)

C' (12,10)

D' (-2,-4)

Step-by-step explanation:

A' (-6+3 , 3+4) = (-3,7)

B' (-3+3 , 6+4) = (0,10)

C' (9+3 , 6+4) = (12,10)

D' (-5+3 , -8+4) = (-2,-4)

Answer:

B

Step-by-step explanation:

If you set x to hours and y to the amount of miles, you can multiply the hours to the numbers and equal out your miles. So, if 8 hours is multiplied to 50, it equals out the 400 miles.

Answer:

3124

Step-by-step explanation:

Answer: -273

Step-by-step explanation: To determine the 72nd term, we will want use our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 + (n - 1)d[/tex]

Since we want to find the 72nd term, the [tex]^{a}n[/tex]

in the formula will be changed to [tex]^{a} 72[/tex].

Also, the 72 will be substituted in for the n

that is inside the set of parentheses.

Then [tex]^{a} 1[/tex] will be the 1st term given in our sequence or 11.

Lastly, the d outside the parentheses is the difference between

each of the terms in the sequence which is -4.

So we now have [tex]^{a} 72 = 11 + (72 - 1)(-4)[/tex].

Now we have all the information we need.

Now we can simplify from here.

Make sure to apply your order of operations because

this is where a lot of students make mistake.

Start simplifying inside the parentheses!

(72 - 1) is going to be 70.

So we have [tex]^{a} 72 = 11 + (71)(-4)[/tex].

Then, we have to multiply before we add.

So (71)(-4) is going to be -284.

So we have [tex]^{a} 72 = 11 + (-284)[/tex].

Solving from here, 11 + (-284) simplifies to -273.

This means that the 72nd term of this sequence is -273.

The graph of the quadratic function g(x) = -x^2 + 9x - 20 will be a downward opening parabola with vertex at (4.5, 0.25), x-intercepts at (4, 0) and (5, 0), and a y-intercept at (0, -20). To graph it, label the axes as 'f(x)' and 'x' and scale them to include these critical points.

The student wants to identify the graph of the quadratic function g(x) = –x2 + 9x – 20. To do this, first note that the standard form of a quadratic function is ax2 + bx + c, where a, b, and c are constants.

In this case, a = -1 (which makes the parabola open downward), b = 9, and c = -20.

The vertex form of a quadratic function is f(x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. To find the vertex, we can use the formula h = -b/(2a).

For g(x), this gives h = -9/(2 * -1) = 4.5.

We can then find the value of k by substituting h back into g(x), which gives us k = -4.52 + 9(4.5) - 20.

Therefore, k = 0.25.

The vertex of the parabola is at (4.5, 0.25), and because a is negative, the parabola opens downward. The x-intercepts (or roots) of the parabola can be found by factoring the quadratic equation or using the quadratic formula. In this case, the x-intercepts are (4, 0) and (5, 0). Lastly, the y-intercept occurs when x = 0, which for g(x) is -20.

To label the graph, we'd use 'f(x)' for the vertical axis and 'x' for the horizontal axis. The scale of the axes depends on the maximum and minimum x and y values of the graph, which in this instance would include at least the vertex, x-intercepts, and y-intercept.

Answer:

x=3

Step-by-step explanation:

44-29=15

5*3=15

The value of x in the equation 29 + 5x = 44 is solved by isolating x to find that x = 3.

To solve the equation 29 + 5x = 44 for x, you should start by isolating the variable on one side. Here's a step-by-step process:

Therefore, the value of x in the given equation is 3.