Which part of the proof does the fourth statement and reason represent?

Given: AB ≅ BC
BC ≅ EF

Prove: EG = AB + FG

A line contains point A, B, C.

A 2-column table has 6 rows. Column 1 is labeled Statements with entries line segment A B is-congruent-to line segment B C, line segment B C is congruent to line segment E F, line segment A B is-congruent-to line segment E F, A B = E F, E G = E F + F G, E G = A B + F G. Column 2 is labeled reasons with entries given, given, transitive property, definition of congruent segments, segment addition, and substitution.

It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.

Answers

Answer 1

Answer:

It is part of the argument.

Step-by-step explanation:

AB + BC = AC.

So, the line segment EG , F lies on the line segment;

Therefore, by segment addition postulates we have below:

EG = EF + FG

By substitution AB=EF

EG = AB + FG                

~~~~~~~~~~~~~~~~~~~~

Given: AB ≅ BC

BC ≅ EF

Prove: EG = AB + FG

~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer 2

Answer:

It is part of the argument.

Step-by-step explanation:

The answer above is correct.


Related Questions

Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.

Answers

Answer:

25π

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]. In this case, [tex]r[/tex] is 5, to the area will we [tex]25\pi[/tex].

Tony spent $60.54 and bought 3packs if notebooks and a calculator.How much does a pack of notebooks cost if a calculator costs $45.87

Answers

They Could Cost Around 4.00$

PLEEEAAAAAASE HELP!
What is the answer to this question?

Answers

Answer:

23 units

Step-by-step explanation:

Perimeter is the sum of side lengths

Let's find the sides first

AB = √(-2- 2)² + (-4+1)² = 5BC = (2 - (-1)) = 3CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32

Perimeter is

P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number

Denny bought a boquet f 20 flowers that cost $12 Roses cost $0.75 each Carnatons cost $0.50 each how many roses(r) and how many carnations(c) are in denny's bouget?

r+c=20
0.75r+0.5c=12

Answers

Answer:

Highest common factor of 63 and 45 is 9.

Therefore there can be 9 bouquets each with 5 roses and 7 carnations

Step-by-step explanation:

hope this helped!


There are 300 seeds in a packet of flower seeds.
Each seed will grow into a white flower or a yellow flower or a red flower.
The probability of a seed growing into a white flower is 0.62
45 of the seeds are expected to grow into yellow flowers.
One of the seeds is chosen at random from the packet.
What is the probability that this seed will grow into a red flower?
(3 marks)

Answers

Answer:

.23

Step-by-step explanatio

45 of the seeds will be yellow. So the probability of a yellow flower is

45/300 = .15

Total probability = probability of white + probability of yellow + probability of red

or

1 = P(W) + P(Y) + P(R)

we know P(W) = .62. So let x = probability of a red flower

1 = .62 + .15 + x

1 = .77 + x

x = .23

I don't know the answer lol​

Answers

Answer:

The answer is B

Step-by-step explanation:

Heeeeeeeeeelllppppppp

Answers

Answer:

C

Step-by-step explanation:

Reflect over y axis translation down & left.

it’s the first one reflection then rotation

To find the value of an expression is to what?

A) Variable
B) squared
C) evaluate
D) algebra

Answers

Answer:

evaluate

Step-by-step explanation:

um duh

but I hope I helped in some way

it’s C, to evaluate

A forest covers 42,000 acres. A survey finds that 0.7 ​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

6,000,000

Explanation:

42,000 acres is the area you get after you multiply the number of acres of old-growth trees by 0.7%. So you would divide 42,000 by 0.7% to get the number of acres of old-growth trees.

# of acres of old-growth trees * 0.7% = 42,000

# of acres of old-growth trees = 42,000/0.7%

# of acres of old-growth trees = 6,000,000

PS. 0.7% = 0.007

simplify the expression 14x^-2 for x is 7

Answers

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  [tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]

The length of a rectangle is 5 less than twice it’s width.The perimeter is 26 meters.Find the dimensions of the rectangle.

Answers

Let l be the symbol for length

Let w be the symbol for width

[tex]l = 2w - 5[/tex]

Our first equation is built according to the given that the length is twice the width subtracted by 5

Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)

So the perimeter of a rectangle is=l+l+w+w=2l+2w

[tex]2l + 2w = 26[/tex]

This will be our second equation;

I can make a system of equations of 2 unknowns using my 2 equations;

[tex]2l + 2w = 26[/tex]

[tex]l -2w = - 5[/tex]

Add the two systems together by adding everything that is before the equal sign together and everything after it together.

[tex]2l + l + 2w - 2w = 26 - 5[/tex]

[tex]3l = 21[/tex]

[tex]l = \frac{21}{3} = 7 \: meters[/tex]

To find the width substitute L=7 in any equation;

[tex]l = 2w - 5[/tex]

[tex]7 = 2w - 5[/tex]

[tex]7 + 5 = 2w[/tex]

12=2w

w=12/2=6

The app is bugging, the width is 6 meters and the length is 7 meters

Find the value of cos theta for the angle shown.

Answers

Answer:

Step-by-step explanation:

X = 4,0

hypotenuse = sqrt(4^2  + (-sqrt(33))^2 )

hypotenuse = sqrt(16 + 33)

hypotenuse = sqrt(49)

hypotenuse = 7

Cos(theta) =  4/ 7

The cos looks like it should be negative, but it is positive in quad 4.

One of the angle measures of a right triangle is 36°. Which of the following is the measure of one of the other two angles of the triangle?

Answers

Answer:

54

Step-by-step explanation:

90°-36°=54°
        Or

x+36+90=180°

x=180-126

x=54

Hope that helped! :)

Please help solve this problem

Answers

Answer:

BCA and DCA

Step-by-step explanation:

Because the angle are next to each other. If you look at the others, none of them have the other listed beside them

Plz Answer fast

Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?

A) Add -15 and 9.
B) Divide 4 by -15.
C) Subtract 4 from 3.
D) Multiply 9 by 3.

Answers

Answer:

the answer is A

Step-by-step explanation:

please make me brainliest

in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 laps in 30 minutes write a sin function to determine the distance between the observer and the red car at the minute graph the function.​

Answers

Answer:

Distance between  the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]

Step-by-step explanation:

Diameter of field = 500 m

Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]

Let R be the radius and the speed at which the car completes race be w

So,[tex]w=\frac{2\pi}{T}[/tex]

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]

So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]

Refer the attached figure

Angle between car and observer = wt

So, Distance between  the observer and the red car is give as A sin wt

So, Distance between  the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]

How do you do this question?

Answers

Answer:

None of the above

Step-by-step explanation:

According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges.  (Notice that if the limit does equal 0, the series doesn't necessarily converge).

According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.

The first series is a geometric series with r = -5/3.  So it diverges.

The second series is also a geometric series:

3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ

r = 3/2, so it diverges.

For the third series, the limit as n approaches infinity equals 1.  This fails the divergence test, so this series also diverges.

For the fourth series, the limit as n approaches infinity equals 1.  This fails the divergence test, so this series also diverges.

Mary fills a container with water. It holds 6 liters. How many milliliters does the container hold?

Answers

Answer:

the container that holds

6 liters= 6,000mL

When played, the middle C key on a piano has a frequency of 262 cycles per second.

What sine function represents this note when it is graphed with an amplitude of 0.5 unit?

Let x represent the number of seconds.



Enter your exact answer in the box.

f(x) =

Answers

Answer:

[tex]\displaystyle y = \frac{1}{2}sin\:524\pi{x}[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{1048}} \hookrightarrow \frac{\frac{\pi}{2}}{524\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = \frac{1}{2}cos\:524\pi{x},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{1048}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{1048}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{1048}} = \frac{\frac{\pi}{2}}{524\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one-half unit beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

If x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the middle C key on a piano has a frequency of 262 cycles per second.

Frequency = 262

It has an amplitude of 0.5 unit

Amplitude = 0.5

We have to find the function.

y=Asin(2πf(x))

A is amplitude and f is the function.

y=0.5sin(2π262(x))

y=0.5sin(52π(x))

Hence, if x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ3

hi can u guys help me thank u and its worth 50 points :)

Answers

Answer:

The answer is the second option

Step-by-step explanation:

because the first two numbers 3 and 4 are a and b on a triangle and 6 is the hypothos

Three more than "n" is no more than -8.

Pls Help

Answers

Answer:

n + 3 ≤ -8

Step-by-step explanation:

"three more than n" means n + 3" is no more than n" means less than or equal to, so this symbol: ≤"-8" just means -8n + 3 ≤ -8

Answer: n + 3 is greater than or less than to -8


The symbol ≤ means less than or equal to.


I hope this helped remember any number that has a negative combined with a positive depending on the number it will rise or fall. In this matter we are adding a positive to a negative so the number gets closer to 0.

Can someone explain how to do this, I don't need a direct answer I just need an explanation.

Answers

Answer:

m[tex]\angle[/tex]STW = 40° m[tex]\angle[/tex] TSV = 140°

Step-by-step explanation:

Here it is given that ,l ines PV , QW and RX are parallel .That is ,

[tex]\longrightarrow PV \ || \ QW \ || RX [/tex]

And we would like to find out the value of ,

[tex]\longrightarrow m\angle STW \ \& \ \angle TSV [/tex]

As we know that when a transversal intersects two parallel lines then ,

Corresponding angles are equal .Also this is used as an axiom to prove that two lines are parallel .The sum of co- interior angles is 180° .

Here ,

[tex]\angle STW [/tex] and [tex]\angle TUX [/tex] are corresponding angles .So they must be equal.

[tex]\longrightarrow x = 2y \dots (i)[/tex]

Again here [tex]\angle VST[/tex] and [tex]\angle STW[/tex] are co- interior angles. So ,

[tex]\longrightarrow x + (x +5y) = 180^o \dots (ii) [/tex]

Substitute the value from equation (i) into (ii) ,

[tex]\longrightarrow 2y + 2y +5y =180^o \\[/tex]

[tex]\longrightarrow 9y = 180^o\\[/tex]

[tex]\longrightarrow y =\dfrac{180^o}{9}\\[/tex]

[tex]\longrightarrow y = 20^o [/tex]

[tex]\rule{200}4[/tex]

Therefore , we may find out the required angles as ,

[tex]\longrightarrow m\angle STW = x \\ [/tex]

[tex]\longrightarrow m\angle STW = 2y\\ [/tex]

[tex]\longrightarrow m\angle STW = 2(20^o)\\ [/tex]

[tex]\longrightarrow \underline{\underline{m\angle STW = 40^o}} [/tex]

[tex]\rule{200}4[/tex]

Again ,

[tex]\longrightarrow m\angle TSV = x + 5y \\ [/tex]

[tex]\longrightarrow m\angle TSV = 40^o 5(20^o)\\[/tex]

[tex]\longrightarrow m\angle TSV = 40^o + 100^o\\ [/tex]

[tex]\longrightarrow \underline{\underline{ m\angle TSV = 140^o }} [/tex]

And we are done!

[tex]\rule{200}4[/tex]

Lo necesito para hoy porfa ¿25/10 en decimal?

Answers

26/10 in decimal is
0.25

Please help if you can

Answers

Answer:

B

Step-by-step explanation:

the values of t from the table are 7 times the corresponding values of s , so

t = 7s

Write 689,802,473 in numerals​

Answers

Step-by-step explanation:

Tulis 689.802.473 dalam angka

six hundred eighty nine million eight hundred two four hundred and seventy three

sorry if wrong

Which value of x makes 7+5(×-3)=22

Answers

Answer:

x=6

Step-by-step explanation:

7+5(×-3)=22

expand the brackets:

7 + 5x - 15 = 22

simplify:

5x - 8 = 22

add 8 to both sides:

5x = 30

divide both sides by 5

x = 6

hope this helps

brainliest plz?

x

Answer:

7+5 (x-3)=22

7+5x-15=22

5x+ -8=22

5x=30

x=6

Step-by-step explanation:

PEMDAS

First distribute in the parentheses

Then add like terms together

once you have -8, add it on both sides

then divide 5 from both sides to leave the unknown variable by itself

Finally you have the answer

I hope this helps! :)

Which graph shows the amount of money in purse A?

Answers

what graph? theres no picture

PLS HELP
What type of graph should be used to show weight change over 6 months? _____
A. Line graph
B. Bar graph
C. Pie chart
D. Both A and C

Answers

Answer:

Bar graph

Step-by-step explanation:

Hopes this helps

Is the discriminant of f positive, zero, or negative ?

Answers

Answer:

Negative

Step-by-step explanation:

A quadratic that does not touch the x-axis always has a negative discriminant.

Answer:

positive

Step-by-step explanation:

[tex]As\ shown\ in\ the\ figure[/tex]

[tex]when\ g(x)=0,\ have\ 2\ real\ roots\ (b^2-4ac > 0,\ \ have\ 2\ real\ roots)[/tex]

[tex]So\ the\ discriminant\ of\ g\ positive[/tex]

I hope this helps you

:)

1) Which number is IRRATIONAL?
A) 4
B) 16
C) 32
D) 64

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

The square root of 4 is 2.

The square root of 16 is 4.

The square root of 32 is 5.65685425.

The square root of 64 is 8.

Therefore [tex]\sqrt{32}[/tex] is irrational.

Hope this helped! :)

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