Complete the two-column proof using the answers in the bank. Given: DF ≅ EF FG bisects ∠DFE Prove: ∆DFG ≅∆EFG

Please explain the anwser, because I don't know how to do this correctly.

Complete The Two-column Proof Using The Answers In The Bank. Given: DF EF FG Bisects DFE Prove: DFG EFGPlease

Answers

Answer 1

Answer:

Reasons:

1. Given

2. Given

3. Definition of bisector

4. Reflexive property

5. SAS Congruence

Step-by-step explanation:

This is quite easy to solve. All that you're expected to do is to complete the reason that justifies each statement given in the two-column proof.

Let's complete the proof as follows:

1. Statement: [tex] DF \cong EF [/tex]

1. Reason: Given

We know this statement is true because we are given in the question.

2. Statement: FG bisects <DFE

2. Reason: Given

We also know this because we are told so in the question, as shown in the diagram given.

3. Statement: [tex] \angle 1 \cong \angle 2 [/tex]

3. Reason: Definition of bisector

We know this because an angle bisector divides an angle into two equal halves. Therefore, the definition of bisector justifies why it was stated that [tex] \angle 1 \cong \angle 2 [/tex]

4. Statement: [tex] \overline{FG} \cong \overline{FG} [/tex]

Reason: Reflexive property.

5. Statement: ∆DFG [tex] \cong [/tex] EFG

5. Reason: SAS Congruence

Two sides (DF and FG) and an included angle (angle 1) of ∆DFG is congruent two corresponding sides (EF and FG) and an included angle (angle 2) of ∆EFG. Therefore, ∆DFG [tex] \cong [/tex] EFG by the Side-Angle-Side (SAS) Congruence Theorem.


Related Questions

please help can yall solve this

Answers

I understand this!! The answer is 15. Hope this helps!!

A box of 11 transistors has 4 defective ones.
A) If 2 transistors are drawn from the box together, what is the probability that both transistors are defective?
B) If 2 transistors are drawn from the box together, what is the probability that neither transistor is defective?
C) If 2 transistors are drawn from the box together, what is the probability that one transistor is defective?

Answers

Answer:

(a) 0.1325

(b) 0.4045

(c) 0.463

Step-by-step explanation:

Let X denote the number of defective transistors.

The proportion of defective transistors is, p = 4/11 = 0.364.

All the transistors are independent of the others.

The random variable X follows a binomial distribution.

(a)

Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]

(b)

Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]

(c)

Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]

22 What is the circumference of the circle? Use 7 for yr. 35 cm 44 cm 55 cm​

Answers

Answer:

B) 55 cm

Step-by-step explanation:

it’s correct from EDGE

a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?​

Answers

the number of passengers is not a multiple of 2, 3 or 5 but it is a multiple of 7

The lowest multiple of 7 that is not a multiple of 2, 3 or 5 is 7

The next multiple after 7 that is not a multiple of 2, 3 or 5 is 49

7 x 1 = 7
7 x 2 = 14 ( can be divided by 2 )
7 x 3 = 21 ( can be divided by 3 )
7 x 4 = 28 ( can be divided by 2 )
7 x 5 = 35 ( can be divided by 5 )
7 x 6 = 42 ( can be divided by 2 )
7 x 7 = 49

A restaurant bill is $56.39 calculate 20%

Answers

Answer:

$11.29. $56.39 divided by 5, which is 20 percent, gives you around 11.287. Round up, and you get $11.29

Step-by-step explanation:

Answer:

11.278 Is the exact answer.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Write the expression represented by the following:
The quotient of a number and 7, increased by 5

Answers

Answer:

x (divistion symbol) 7 + 5

Step-by-step explanation:

Solve plz, this is due Tomorrow!!

Answers

.

Step-by-step explanation:

25) h=11

26). two sides are same = 12cm

27). time = 15 hours

28). veronica travelled = 6+1 = 7 days

29). number of tickets buyed by people each showing : 231

30) ©

what is the answer for 6.8×10² ​

Answers

Answer:

680

Step-by-step explanation:

Answer:

680

Step-by-step explanation:

10 to the  2nd power is 10 times 10 which is 100.

Now, 6.8 times 100 is 680.

Hope this helps you!!

PLEASE HELP!!!!!!!
The temperature is 56°F. The temperature decreases for 6 hours. Each hour, the temperature decreases by 3°F. Then the temperature rises 12°F in one hour. What is the temperature after 7 hours?

Answers

Answer:

50 degrees

Step-by-step explanation:

3 x 6 = 18

56 - 18 = 38

38 + 12 = 50

A rock is thrown upward with a velocity of 17 meters per second from the top of a 31 meter high cliff and it missies the cliff on the way back down when will the rock ve 8 meters from the ground level

Answers

Answer:

[tex]4.5\ \text{s}[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity =17 m/s

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = a

[tex]v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}[/tex]

Total height the rock is to fall when it is 8 meters from the ground is [tex]14.73+(31-8)=37.73\ \text{m}[/tex]

[tex]v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}[/tex]

Time taken to reach the maximum height is 1.73 s.

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}[/tex]

Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.

So, time taken from the moment of the throw to the point 8 m from the ground is [tex]1.73+2.77=4.5\ \text{s}[/tex].

Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes. When Charlie is consuming 20 apples and 80 bananas, if we put apples on the horizontal axis and bananas on the vertical axis, the slope of his indifference curve at his current consumption is:____________a. -8.b. -1/4.c. -20.d. -4.e. -1/8.

Answers

Answer:

D. -4

Step-by-step explanation:

The formula for calculating the slope of his indifference curve at his current consumption is expressed as:

M = -∆y/∆x

∆y is the change in y axis

∆x is the change in x axis

Since apples are put in the horizontal axis, ∆x = 20

Since banana are on the y axis, then ∆y = 80

Substituting the given values into the formula

M = -80/20

M = -8/2

M = -4

Hence the slope of his indifference curve at his current consumption is -4.

Option D is correct.

A biking track has a length of 3168 feet (ft). How long is this in miles (mi)?

First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Answers

Answer:

0.6 miles

Step-by-step explanation:

Given that,

A biking track has a length of 3168 feet (ft).

We need to find the distance in miles.

We know that, 1 mile = 5280 foot

1 feet = (1/5280) mile

Now, we can find the distance in miles by multiplying 3168 by (1/5280).

[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]

So, the distance covered is 0.6 miles.

What is the value of x 3x 2x 55

Answers

Answer:

25

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

100.6 + 296.5 using
mental math

Answers

Answer:397.1....i think

Step-by-step explanation:

Answer:

397.1

Step-by-step explanation:

I used mental math

swear no calculator or work done

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error?​

Answers

Answer:

David make his first error at Step 3

Step-by-step explanation:

We need to determine the error David made when finding the product of (-2.5)(-8.3)

He did the following steps

Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2: = (–8.3)(–2) + (–8.3)(–0.5)

Step 3: = (–16.6) + (–4.15)

Step 4: = –20.75

David made a mistake in Step 3

When we multiply (-1) with (-1) we get + instead of - sign. The correct step 3 would be:

Step 3: =(16.6)(4.15)

Step 4: =20.75

So, David make his first error at Step 3

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Answers

Answer:

what is it asking

Step-by-step explanation:

Find the perimeter of the similar figure 48cm 60cm

Answers

Answer:

make me brainlist pls! 240 is permimeter

Step-by-step explanation:

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of

Answers

Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation of the sampling distribution:

σ

¯

x

=

σ

n

=

696

36

=

116

2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.

Therefore:

The expected value of the sampling distribution is equal to the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The shape of the sampling distribution of

¯

x

is approximately normal. As the sample size is more than

30

.

3) The probability that the average life in the sample will be between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

3000

116

<

z

<

2809.76

3000

116

)

=

P

(

2.84

<

z

<

1.64

)

=

P

(

z

<

1.64

)

P

(

z

<

2.84

)

=

0.0482

Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability that the average life in the sample will be greater than

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

Using Excel: =NORMSDIST(-1.89)

5) The probability that the average life in the sample will be less than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

The expected value, standard deviation, and shape of the sampling distribution of will be 116.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Now,

Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Hence, The expected value, standard deviation, and shape of the sampling distribution of is,

⇒ Standard error = 696 / √ 36

                            = 696 / 6

                            = 116

Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.

Learn more about the standard deviation visit:

https://brainly.com/question/475676

#SPJ5

14 + w is the same as which expression?

Answers

Answer:

w+14,

Step-by-step explanation:

giving brainliest !!!

Answers

It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.

An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answers

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

[tex]Height = 44800 ft[/tex]

[tex]Descending\ Rate = 3100ft/min[/tex]

Airplane 2:

[tex]Ascending\ Rate = 2500ft/min[/tex]

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]

It is minus (-) because the airplane is descending

[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

For Airplane 2, Its altitude at any height h is:

[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]

[tex]Airplane\ 2 = 2500 * m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Method 1:

For both heights to be equal, we have that:

[tex]Airplane\ 1 = Airplane\ 2[/tex]

This gives:

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Hence, the time they will be at the same altitude is 8 minutes

Substitute 8 for m in

[tex]Airplane\ 2 = 2500m[/tex]

[tex]Airplane\ 2 = 2500 * 8[/tex]

[tex]Airplane\ 2 = 20000\ ft[/tex]

Hence, they will be at the same altitude at 20000ft

Method 2:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]

This gives

[tex]44800 - 3100m - 2500m = 0[/tex]

[tex]44800 - 5600m = 0[/tex]

Collect Like Terms

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Method 3:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]

[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]

Cross Multiply

[tex]44800 - 3100m = 1 * 2500m[/tex]

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Hence;

Their altitudes must be 20000ft

Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.

Method 3 is the most difficult.

This is soo hard can someone please help

Answers

Answer:

f(x)=1/4x+8

y=1/4x+8

x=1/4y+8

1/4y+8=x

y+32=4x

y=4x-32

f^-1(x)=4x-32

PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fund will decrease by 5%. Determine the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years.

A.
$27,550

B.
$22,641

C.
$24,435

D.
$24,436

Answers

Answer:

c. $24,435

Step-by-step explanation:

[tex]30000(1 - .05)^{4} = 24,435.19[/tex]

The amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund.

To find the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years:

The money left after 4 years = 30000(1 - 0.05)⁴

After solving:

The money left after 4 years = $24,435

Thus, the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Clayton opens a savings account with 11 dollars he got from his grandmother

Answers

Answer:

The answer is "$3640.58"

Step-by-step explanation:

This question is incomplete, that's why we add another question in the attached file. Please find it.

P = [tex]\$ \ 1300[/tex] and effective per year is = interest rate per year = 7.2  

Total  [tex]\$ \ 1300[/tex] due after 8 years is P+PRT:

[tex]\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8[/tex]

[tex]\to Total \ X = \$ \ (7000-2048.8) \\\\[/tex]

[tex]= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\[/tex]

The number of dollars is X [tex]= \frac{4951.2}{1.36} = \$ \ 3640.58[/tex]

please answer as fast as possible see image

Answers

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

218.55

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

Please help me ? Please

Answers

Answer:

Step-by-step explanation:

Which tables give sets of values that satisfy the linear function y = 2x – 6

What is 5x + 1 - 2x - 3?

Answers

Answer:

3x - 2

Step-by-step explanation:

5x +1 -2x -3    Combine like factors with x

5x -2x = 3X

3x +1 -3         Combine like factors without x

1 -3 = -2

3x - 2



A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit

Answers

Answer:

-13??? weird question... do you mean celcius themometer?

Step-by-step explanation:

Answer:

The integer that represents 13 degrees below 0 is -13°F.

Step-by-step explanation:

This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.

P.S.

This question was asked by somebody else and I answered already so I am not copying the answer!

Hope this helps! :)

Can someone help me with this?

Answers

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

The sum of three consecutive odd integers is 153. Find the three odd integers.

First integer =


Second integer =


Third integer =

PLEASE HELPPPP!!

Answers

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

[tex]n+(n+2)+(n+4)=153[/tex]

Solve for n. Combine like terms:

[tex]3n+6=153[/tex]

Subtract 6 from both sides:

[tex]3n=147[/tex]

Divide both sides by 3:

[tex]n=49[/tex]

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153

Other Questions
In your first paragraph, describe general properties of waves. Your description should focus on the relationship between energy, matter, and waves. 0/1 Patrick has $375 in his account. This is $90 more than his brother Ralph has in his account. Write an equation using x to find the amount of money in Ralph's account. please help me this is due soon!! ill mark brainiest :)) i also need a reason why please!! What is said by Mrs. Shaw Graves (Aunt Sally) that shows how slaves were dealt with likeproperty? Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade Which of the following is the equation that represents the line in the graph below? A- x=3y, B- x=3, C- y=3, D- y=3x Why do some candidates for president receive more media coverage than others?A.The media can only cover those viewed as legitimate contenders because there are often dozens of candidates in the early stages of the election.B.More coverage is given to candidates who are physically attractive even if they cannot win the election.C.Candidates who have views that support the interests of the media get more coverage than those who do not.D.Those candidates who are not in the lead receive more coverage in an attempt to make sure that Americans are aware of everyone running for office. An executive order, essentially a direct law from the President, is allowed to be granted due to?A. Executive Power B. Ordinance Power C. Appointment Power D. Removal Power 5- 1/2x = 5/8x+2Pls I need this for classwork due at 11:59 A student experiments with two solutions containing the same solute concentrationsin a beaker that is divided by a semipermeable membrane, as shown.In which direction will the water move so that the concentrations of the solutionsremain constant on both sides of the membrane?A in both directions at different ratesB in both directions at the same ratesC toward the right side of the beakerD toward the left side of the beaker PLEASE THIS IS URGENT It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series? I am a senior in high school who's graduating in 5 months. I honestly have no idea what I want to major and all I know is that I don't want medicine nor engineering. However, I don't know what to study. Like I don't want to study something that I won't find a job for, so please help, any advices? Jordan just wrote a secret message program in python that converts the number 7,095 to 1s and 0s. Which number system is Jordan converting to?BinaryDecimalDigitalHexadecimalPLEASE ANSWER CORRECTLY I WILL MARK BRAINLIEST FOR THE CORRECT ANSWER what do you think Odysseus greatest obstacles will be on his journey home? "I have so worked upon my imagination as really to believe that about the whole mansion and domain there hung an atmosphere peculiar to themselves and their immediate vicinity--an atmosphere which had no affinity with the air of heaven, but which had reeked up from the decayed trees, and the gray walls, and the silent tarn---a pestilent and mystic vapor, dull, sluggish, faintly discernible, and leaden hued." "I have so worked upon my imagination as really to believe that about the whole mansion and domain there hung an atmosphere peculiar to themselves and their immediate vicinity--an atmosphere which had no affinity with the air of heaven, but which had reeked up from the decayed trees, and the gray walls, and the silent tarn---a pestilent and mystic vapor, dull, sluggish, faintly discernible, and leaden hued." Which vocabulary word below BEST describes the mood of the sentence above? PLEASE HELPAnswer two questions about Equations A and b A:2x1=5xB:-1=3x =5x=3x 1) How can we get Equation BBB from Equation AAA?Choose 1 answer:Choose 1 answer:(Choice A)AAdd/subtract the same quantity to/from both sides(Choice B)BAdd/subtract a quantity to/from only one side(Choice C)CRewrite one side (or both) by combining like terms(Choice D)DRewrite one side (or both) using the distributive property2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?Choose 1 answer:Choose 1 answer:(Choice A)AYes(Choice B)BNoOur mission is to provide Noor Inayat Khan contains a list of the information that Noor communicatedbetween July and October of 1943. What does this information best show?Question 2 options:that these months were the turning point in World War IIthat Noor could transmit radio messages with great speedthat it was important for Noor to stay in France despite the dangerthat many types of information could be sent by using Morse Code Why are green plants special?a.they never get eatenb.they make their own foodc.they change colors at nightd.they only grow in water Dartmouth Assessment Centre screens and trains employees for a computer assembly firm in Halifax. The progress of all trainees is tracked and those not showing the proper progress are moved to less demanding programs. By the tenth repetition, trainees must be able to complete the assembly task in 1 hour or less. Torri Olson-Alves has just spent 5 hours on the fourth unit and 4 hours completing her eighth unit, while another trainee, Julie Burgmeier, took 4 hours on the third and 3 hours on the sixth unit. Should you encourage either or both of the trainees to continue? Why?