Given 2 and 4 are vertical angles

prove 2 and 4.

Statements and reasons.

help

Given 2 And 4 Are Vertical Anglesprove 2 And 4.Statements And Reasons. Help

Answers

Answer 1

∠2 and ∠4 are vertical opposite angles and they are congruent.

How to prove vertical angles?

Vertically opposite angles are congruent.

Therefore, let proof ∠2 and ∠4 are vertical angles

Hence,

m∠2 + m∠3 = 180

∠2 and ∠3  are linear pair.

m∠3 + m∠4 = 180

∠3 and ∠4  are linear pair.

∠2 and ∠4 are vertical angles

m∠2 + m∠3 = m∠3 + m∠4

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Answer 2

Answer: View picture below!

Step-by-step explanation: Just did it!

Given 2 And 4 Are Vertical Anglesprove 2 And 4.Statements And Reasons. Help

Related Questions

Suppose that the total cost of flatiron TVs is given by the function TC(Q) = 500Q + 300 dollars, where Q is the number of TVs produced. Find TC(10).

Answers

The value of TC(10) is 5300 Dollars

Given function is TC(Q) = 500Q +300 dollars

We need to calculate the value for TC (10)

As we know that the equation given is TC(Q) = 500Q + 300 dollars

Q is the number of TVs produced

Therefore, The value of Q is 10 for TC(10)

Substituting the value of Q

in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,

TC(10) = 500(10)+300 dollars

∴ TC (10) = 5000+300 dollars

∴ TC (10) = 5300 dollars

Hence the value of TC(10) is 5300 Dollars

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PLEASE HELP ME!!!!!!!!!

Answers

Answer:

option 4 and option 3 are the answers respectively

Answer:

[tex] \sqrt{ {2}^{3} } \\ \sqrt{3} \\ .............[/tex]

what are x and 8 in the linear equation? 8/x+5=50/25

A.One is variable and one is a coefficient

B.One is a constant and one is a coefficient?

C.Both are variables.

D.both are constants.

Answers

B because both are variables

Which of the following is the graph of y = -2√x-3+2?

Answers

I presume you meant [tex]y=-2\sqrt{x-3}+2[/tex].

The graph is shown in the attached image.

Steps for solving 5(2x-8)= 20 are shown.
5(2x-8)= 20
10x-40-20
10x-40+40-20 + 40
10x = 60
10x 60
10
10
X-6

Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property

Answers

The one which is not part of the solution is option D. Using the commutative property.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

5(2x-8)= 20

By Using the distributive property

10x-40-20 = 0

Combining like terms

10x-40+40-20 + 40 = 0

Dividing both sides by 10 to isolate the variable

10x = 60

x = 6

Thus, we can see that all the options are included except option D.

So, the one which is not part of the solution is option D. Using the commutative property.

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A count of patients needing a blood transfusion in the emergency room at a city hospital would best be modelled by what
distribution?
A. geometric
B. continuous
C. normal
D. Poisson

Answers

The count of patients needing a blood transfusion can be modelled as a continuous distribution.

What is a continuous distribution?

A continuous distribution is a distribution that can take on an infinite number of possible values. A continuous distribution is not defined at specific values. The number of patients can be 1 or 10 or 50 or even 0.

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Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1).

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

The parabola has roots at x=3 and x=-1, so its vertex is halfway between those points, at x=1, and so the y-coordinate of the vertex is -(1-3)(1+1)=4.

Another point that lies on the parabola is (-1, 0).

supposed an individual has a body fat percentage of 17.5% and weighs 164 lbs. how many pounds of his weight is made up of fat? round your answer to the nearest tenth.

Answers

The amount of pounds of his weight is made up of fat is 28.7lbs

Percentages and values

Given the following parameters

Total weight of body = 164lbs

Percentage fat = 17.5%

Determine the amount made up of fat

Fat amount = 17.5% of 164

Fat amount = 0.175 * 164

Fat amount = 28.7lbs

Hence the amount of pounds of his weight is made up of fat is 28.7lbs

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A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width of the bedroom

Answers

Answer: Length = 13 ft. , Width = 9 ft.

Step-by-step explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

(x)(x + 4) = 117

x^2 + 4x = 117

x^2 + 4x - 117 = 0

(x - 9)(x + 13)

x = 9, -13

x = 9 (measurement cannot be negative)

Length

x + 4

9 + 4 = 13

Identify how the two trianiges are congruent. Fill in the blank below the triangles with SSS, SAS, ASA, AAS, or HL. If the two triangles are not
congruent, type not congruent.
A4X4
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Question 2 (1 point)

Answers

Answer:

Blank 1 = SAS

Blank 2 = HL

Black 3 = ASA

Blank 4 = SSS

SAS - when two corresponding sides and one corresponding angles are equal HL - in a right angle triangle when corresponding hypotenuse and length are equal ASA - when 2 corresponding angles and one corresponding side are equal when all the sides of triangle is equal to other.

Which statement is true?
A. The number 31 is prime, but 37 is composite.
B. The number 29 is prime, but 37 is composite.
C. The number 31 is prime, but 33 is composite.
D. The number 33 is prime, but 35 is composite.

Answers

Answer:

C

Step-by-step explanation:

A and B are wrong because 37 is prime. 31 is prime and 33 is divisible by 11 and 3 so C

The answer is C. The number 31 is prime, but 33 is composite.

complete the pattern 2, 6, 21, 88, ...

Answers

Answer:

445

Step-by-step explanation:

I think it is 445 because each term is +1 and time is the number of terms you want to find.

So

(2+1) time 2 = 6

(6+1) time 3 = 7

(88+1)  time 5 = 445

1
Which equation is equivalent to 1/4 + x = -5/4? Select all that apply.

X= 6/4
X= -6/4
X=-1/4=-5/4
X=-3/2
X=-3/4

Answers

Answer:

1/4 + x = (-5)/4

x = -5/4 - 1/4

x = (-5)-1 /4

x = (-6)/4

Simplify that a chemical is mxing two acid solutions one of 45% concentration and the other of 55% cencetration which of the following concentration could not be obtained
47 49 53 59

Answers

The concentration could not be 59.

What is concentration?

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.

Given:

solutions one of 45% concentration

other of 55% concentration.

The concentration should lie between 45 % to 55 %.

This is because it is not possible to get a mixture concentration which is lower than the lower concentrated acid or higher than the higher concentration acid.

Hence, Mixture concentration must be between 45% and 55%.

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Please help


Follow the steps to find the area of the shaded region.


First use the formula below to find the area of the whole sector.


Sector Area= ( angle of sector/360). R2


Sector Area = ? Cm^2
Round to four decimal places.

14 cm

46°

14 cm

Answers

The area of the sector, to 4 decimal places, is: 78.6794 cm².

How to Find the Area of a Sector of a Circle?

Area of sector = ∅/360 × πr².

Given the following:

∅ = 46°Radius (r) = 14 cm

Area of sector = 46/360 × π(14²)

Area of sector ≈ 78.6794 cm²

The area of the sector is approximately 78.6794 cm².

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You invest $2100 in an account at 1.5% per year simple interest. The equation
that represents this scenario is:
A(n) = 2100 + (n-1)(0.0152100)
How much will you have in the account in year 6? Round your answer to the
nearest dollar.
OA. $2289
о C. $2258
D. $2132
B. $17,850

Answers

Answer:

My guess would be D

Step-by-step explanation:

Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w). Kimberly starts one from seed but the package says it will grow 2 cm per week. How many weeks will it take for Kimberly’s plant to equal the height of Juliette’s?

Answers

12.
12cm already and in 12 week it will grow 12cm more so total 24cm in week
On other hand the seed will grow 2cm per week so in 12 week it will be 24 cm

Please help and fast for brainliest

The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:

Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.

The number of gallons of white paint mixed with 1 gallon of green paint is ______.

Answers

Answer:

3 gallons

Step-by-step explanation:

For every value of green ( 'x') ....white is 3 times as much

  for 1 gallon green     ====> 3 gallons white

6. Find the surface area of the cylinder pictured. Use 3.14 for pi.
6 m
8m
A: 904.3 square meters
B: 527.5 square meters
C: 301.4 square meters
D. 226.1 square meters

Answers

Answer:

given - a cylinder

height = 8m

radius = 6m

To find - surface area

Solution -

Surface area of the cylinder = 2 Pie r h

= 2* 3.14 * 6 * 8

= 6.28 * 48

= 301.4 sq meters

four big water bottles can hold 8 gallaons how much can 10 big water gallons hold

Answers

4 can hold 8 gallons = 8/4 = 2 big bottle per gallons.

For 10 big bottles = 10 x 2 = 20 gallons.

If you are looking for how many bottles can be filled with 10 gallons, the answer is 5.
Let x represent the gallons you are finding
If 4=8 then,
10=x
You cross multiply
4x = 10*8
4x /4= 80/4
x = 20

For the data set 7, 5, 10, 11, 12, the mean, X, is 9. What is the standard
deviation?

Answers

Answer:

The standard deviation is about 2.915

Step-by-step explanation:

Answer:

=  2.9154759474227

Step-by-step explanation:

can u welp me?


tnx in advance​

Answers

Irregular Figure

[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

Answer:

Figure Number 1.

Area of smaller square = [tex]\tt\underline{5cm}[/tex][tex]\tt{\times 5cm = }[/tex][tex]\tt\underline\green{25}[/tex] [tex]\tt{sq.cm}[/tex]

Area of bigger square = [tex]\tt{15cm \times}[/tex][tex]\tt\underline{ 15cm }[/tex][tex]\tt{=}[/tex] [tex]\tt\underline\green{225}[/tex] [tex]\tt{sq.cm}[/tex]

Total Area = [tex]\tt\underline\green{25sq.cm}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{225sq.cm}[/tex] [tex]\tt{=}[/tex] [tex]\normalsize \underline{\boxed{\tt \red{250}}}[/tex] [tex]\tt\underline{sq.cm}[/tex]

[tex]\\[/tex]

Figure Number 2.

Area of square A = [tex]\tt\underline{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{49}[/tex] [tex]\tt{sq.m}[/tex]

Area of square B = [tex]\tt{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\underline\green{49}[/tex] [tex]\tt{sq.m}[/tex]

Area of square B = [tex]\tt{14m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{14m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{196}[/tex] [tex]\tt{sq.m}[/tex]

Total Area = [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{196}[/tex] [tex]\tt{=}[/tex][tex] \normalsize \underline{\boxed{\tt \red{294}}}[/tex][tex]\tt{sq.m}[/tex]

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

To find the area of square use this formula [tex]\large\tt{A = s \times s}[/tex]. Means side of the square multiply to the same side of the square

[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

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૮₍´˶• . • ⑅ ₎ა

Which of the following is the number if sides a polygon can have to form a regular tessallation?
A. 5
B. 9
C. 3
D. 7

Answers

None of the options is true.

Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,

to form a pattern.

What is the polygon?

A polygon is said to be regular if all interior angles and all sides are equal.

The regular polygon of side 3, when joined together can be named: 3.3.3.

The regular polygon of side 4, when joined together can be named 4.4.4.

The regular polygon of side 6, when joined together can be named 6.6.6.

So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.

None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.

None of the options is true.

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A
Choose the correct statement about best-fit lines.
a.
A best-fit line is close to most of the data points.
b. A best-fit line describes the exact coordinates of each point in the data set.
C.
A best-fit line always has a positive slope.
d. A best-fit line must go through at least two of the data points.
Please select the best answer from the choices provided
Α
B
C
D

Answers

Answer:

Your answer would be A.

Step-by-step explanation:

okay so, with a best fit line, it needs to match up with your points. unless your points go up evenly. its not going to connect to all your points.

which choices are equivalent to the expression 3 square root of 5

Answers

Answer:

6.708.

Step-by-step explanation:

hope this helps

The Pythagorean Identity states that: (sin x)^2 + (cos x)^2 = 1

Given cos 0 = 5/3, find sin 0

sin 0 = ?/?

Simplify the fraction.

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:sin(\theta) = \cfrac{2}{3} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cos {}^{2} ( \theta) + \sin {}^{2} ( \theta) = 1[/tex]

[tex]\qquad \tt \rightarrow \: {\bigg( \cfrac{ \sqrt{5}}{3} \bigg) }^{2} + \sin {}^{2} ( \theta) = 1[/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{5}{9} + \sin {}^{2} ( \theta) = 1[/tex]

[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = 1 - \cfrac{5}{9} [/tex]

[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{9 - 5}{9} [/tex]

[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{4}{9} [/tex]

[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \sqrt \cfrac{4}{9} [/tex]

[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \pm \cfrac{2}{3} [/tex]

Generally, only positive value is taken :

[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \cfrac{2}{3} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

James is paid $18 an hour at his new job. He wishes to graph his total pay T, as a function of the number of hours, h. James works between 25 and 40 hours each week. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least Choose... , and the h-axis of his graph should go from 0 to at least Choose... .

Answers

Answer

T-axis of his graph should go from 0 to at least 720, and the h-axis of his graph should go from 0 to at least 40.

Explanation

We know form our problem that  is the total pay,  is the number of hours, and $18 is the rate per hour, so putting it all into an equation we get:

We also know that James works between 25 and 40 hours each week, so we can replace the number of hours in our equation to get how much he can make per week:

- For

- For

Now we know that he can make between $450 and $720 working between 25 and 40 hours per week. So, to best show this information the T-axis should go from 0 to at least 720; otherwise, we won't be able to show values between $450 and $720. Similarly, the h-axis should go form 0 to at least 40; otherwise, we wont be able to show values between 25 and 40 hours.

\frac{7}{4x}+\frac{5}{4x^2}
4x
7

+
4x
2

5

Answers

The expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]

What is Expression ?

Expression is a mathematical statement consisting of variables , constants and mathematical operators .

It is given in the question to solve the expression

[tex]\rm \dfrac{4x}{7} + \dfrac{5}{4x^2}[/tex]

Taking LCM , LCM = 28x²

[tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]

Therefore the expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]

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28.6% of city employees ride the bus to work.Last year,29.7% of city employees rode the bus to work.What is the relative change from last year to this year

Answers

The number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

28.6% of city employees ride the bus to work. Last year,29.7% of city employees rode the bus to work.

The relative change will be calculated as follows:-

Relative change =  Present year data - Last year's data

Relative change = 28.6 - 29.7

Relative change  = -1.1%

Therefore the number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.

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e:f=3:7
f:g=2:3
Work out e:g in simplest form

Answers

The value of e:g is 2:7.

what is Ratio?

A ratio indicates how many times one number contains another.

Given:

e:f=3:7

f:g=2:3

Now take LCM of 2 and 7 i.e., 14.

e/f= 3/7= 3*2/7*2= 6/14

and, f/g= 2/3= 2*7/3*7= 14/21

So,

e/g= e/f *f /g

     = 6/14*14/21

     = 6/21

e:g = 2:7

Hence, the value of e:g is 2:7.

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According to the law governing mortgage loan brokers, what is the maximum commission Broker Dan can charge for securing a $15,000 second mortgage for a period of 4 years? it would usually be considered socially acceptable to use slang:with friends or family members.None of the choices are correct.O at a retail job that deals with customer service.in a formal, academic, public speech.with people of authority like teachers and police officers. In the early 1800s, British engineer Richard Trevithick invented the firstrailway steam locomotive. By 1850, Britain had more than 6,000 miles ofrailroad track. These two events are an example of which type ofrelationship? Read the excerpt from "Lather and Nothing Else."I went on lathering his face. My hands began to tremble again. The man could not be aware of this, which was lucky for me. But I wished he had not come in. Probably many of our men had seen him enter the shop. 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(8 points)COLUMN A1. ?______ cenas el pollo o el pavo?2. ?______ toma in refresco, seor Lobato?3. _______ comparte la arroz con pollo4. _______ comparto la carne de verdi para cenar COLUMN B a. Yob. Usted c. Td. Ella What is multiple-point perspective? A. A technique in which two or more vanishing points are used to create the illusion of depth on a flat surface B. The ability to see things in three dimensions (length, width, and depth) C. The combination of a color with white to make it lighter, the opposite of shade D. A technique in which objects are made to seem farther away with the adjustment of color hues and reduction in the size of the objects What is multiple - point perspective ? A. A technique in which two or more vanishing points are used to create the illusion of depth on a flat surface B. The ability to see things in three dimensions ( length , width , and depth ) C. The combination of a color with white to make it lighter , the opposite of shade D. A technique in which objects are made to seem farther away with the adjustment of color hues and reduction in the size of the objects transform each graph below.(a) The graph of y=f(x) is shown. Draw the graph of y= f(2x).(b) The graph of y=g (x) is shown. Draw the graph of y=1/2g(x). Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. write a letter to your elder brother suggesting him not to go abroad for the employment In Act II of Julius Caesar, which character says, Thrice hath Calpurnia in her sleep cried out 'Help, oh, they murder Caesar!" Brutus Cassius Caesar Decius Explain how the shapes shown have been sorted.Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal. If all angles on two triangles are congruent then can we prove their congruency through ASA? If so whats the proofs I use The equation of a line is y = 1.5x 2. What are its slope and y-intercept? 12% profit on a computer is Rs.540.(i) Find the cost price of the computer. (ii) Find the sale price of the computer. r,u,t,s are positive RXS=15SXT=3TXV=7RXV=??