HELP FAST!
This is an explain your reasoning question. You will need to show all your work and explain how you arrived at your answer.

HELP FAST! This Is An Explain Your Reasoning Question. You Will Need To Show All Your Work And Explain

Answers

Answer 1

Answer:

m∠R = 72°

Step-by-step explanation:

As ΔPQR and ΔUVW are congruent, m∠R = m∠W.

Equate the expressions for the two angles and solve for x:

⇒ m∠R = m∠W

⇒ 10x - 18 = 8x

⇒ 10x - 18 + 18 = 8x + 18

⇒ 10x = 8x + 18

⇒ 10x - 8x = 8x + 18 - 8x

⇒ 2x = 18

⇒ 2x ÷ 2 = 18 ÷ 2

⇒ x = 9

Substitute the found value of x into the expression for m∠R:

⇒ m∠R = 10x - 18

⇒ m∠R = 10(9) - 18

⇒ m∠R = 90 - 18

⇒ m∠R = 72°

Therefore, m∠R = 72°.


Related Questions

Find the equation of the line that passes through the points (-1,7) and (-3,8) in the form of: a) y=mx+b. b) ax+by+c=0?

Answers

Answer:

-0.25 or -1/4

Step-by-step explanation:

y2-y1/x2-x1

8-7/-3-1

1/-4

-0.25

The midpoint M of UV has coordinates (5, 6). Point U has coordinates (10, 5). Find the
coordinates of point V.
Write the coordinates as decimals or integers.

Answers

The coordinates of point V is ( 15/2, and 11/2).

What is the Midpoint of a Line Segment?

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁, Y₁ and  X₂, Y₂ is calculated using the:

According to the given information:

Point M has Coordinates (5, 6).

point U has coordinates (10, 5).

We know that to find the Midpoint of a Line Segment:

( X₁+X₂)/2  , (Y₁ +  Y₂ )/2

Now Putting the value in the formula;

MU = ( X₁+X₂)/2  , (Y₁ +  Y₂ )/2

      = (5 + 10)/2 , (6 + 5)/2

      = 15/ , 11/2

Therefore, The coordinates of point V ( 15/2, 11/2).

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6. Write two equivalent rates for each comparison. a) 5 goals in 10 games b) 10 km jogged in 60 min c) 6 pizzas eaten in 30 min d) 10 penalties in 25 games​

Answers

The equivalent rates for each of the given options are;

A) 1 goal in 2 games

10 goals in 20 games

B) 1 km jogged in 6 min

5 km jogged in 12 min

C) 1 pizza eaten in 5 minutes

2 pizzas eaten in 10 minutes

D) 2 penalties in 5 games​

20 penalties in 50 games​.

What are the equivalent rates?

We want to write two equivalent rates for the given rates.

It should be noted that different rates that have the same value are equivalent rates. You can find an equivalent rate the same way you find equivalent ratios which is to divide or multiply the numerator and the denominator by the same number.

A) 5 goals in 10 games can also be written as;

5/10 = 1/2 = 10/20

These equivalent rates are;

1 goal in 2 games

10 goals in 20 games

B)  10 km jogged in 60 min;

10/60 = 1/6 = 5/12

These equivalent rates are;

1 km jogged in 6 min

5 km jogged in 12 min

C) 6 pizzas eaten in 30 min;

6/30 = 1/5 = 2/10

These equivalent rates are;

1 pizza eaten in 5 minutes

2 pizzas eaten in 10 minutes

D)  10 penalties in 25 games​;

10/25 = 2/5 = 20/50

These equivalent rates are;

2 penalties in 5 games​

20 penalties in 50 games​.

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Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.

Answers

Answer:

-4.9, negative four and eight ninths, four and seven tenths, 490%

Step-by-step explanation:

4 7/10 =approx. 4.7

-4 8/9 = -4.888889

490% = 4.9

-4.9

Natalie has a piece of red ribbon that is 79.39 inches long and a piece of brown ribbon that is 2.05 inches long. How much longer is the red ribbon?

Answers

Red ribbon is 77.34 much longer than brown ribbon.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

The difference is the name given to the solution to a subtraction issue.

Given Data

Natalie has a piece of red ribbon that is 79.39 inches long

a piece of brown ribbon that is 2.05 inches long

Difference of red ribbon from brown ribbon:

= 79.39 - 2.05

= 77.34

Red ribbon is 77.34 much longer than brown ribbon.

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14. There are 3 teaspoons in a tablespoon. Show how to convert 15 teaspoons to tablespoons using a
ratio table and using a conversion factor.

Answers

There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.

What is a ratio table?

The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.

What is displayed in a ratio table?

Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.

You can use a ratio table to determine equal ratios and solve difficulties.

What is an example of a conversion factor?

A conversion factor is a kind of number that is used to multiply or divide one set of units into another.

If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.

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Which of the following values is less than −|62|?

71
53
−53
−71

Answers

Answer:

-71

Step-by-step explanation:

−|62| is equal to -62, and -71 is less than -62.

please help meeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!

Answers

Answer:

3 x 3 x 3 or 3 to the 3rd power :)

Step-by-step explanation:

Lets solve! :)

3 x 3 x 3

9 x 3

27

The volume of the tank would be 27s :)

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Draw triangle PQR with vertices P(1,2),Q(3, 3),R(2,6).find PQ.​

Answers

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 1~~)^2 + (~~3 - 2~~)^2} \implies PQ=\sqrt{( 2 )^2 + ( 1 )^2} \\\\\\ \implies PQ=\sqrt{ 4 + 1 } \implies PQ=\sqrt{ 5 }\implies PQ\approx 2.24[/tex]

please help me to solve this hard question.I need your help right now ​

Answers

Answer:

θ = 110.61°

Step-by-step explanation:

It's not that hard :)

Let a = θ/3

Then sin a = 3/5 = 0.6

a = sin⁻¹(a) = 36.87°

=> θ/3 = 36.87°

θ = 3 x 36.87

θ = 110.61°

40 squared is between which two positive consecutive integers

Answers

first find 40 squared

[tex] {40}^{2} \\ = 1600[/tex]

1598,1599, 1600, 1601,1602

You can see that 1600 is between 1599 and 1601

HELP ASAP NEEDS TO BE DONE BY TONIGHT

Answers

The linear function that contains the point (-4, -3) and is perpendicular to the line 4x + 5y = 15 is given by:

y = 5/4x + 2.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient m is the slope of the function, which is the constant rate of change.The coefficient b is the y-intercept of the function, which is the initial value of the function.

When two lines are perpendicular, the multiplication of their slopes is of -1, hence, considering the line is perpendicular to 4x + 5y = 15, we have that:

5y = 15 - 4x

y = 3 - 4/5x

Then:

-4/5m = -1

m = 5/4

Hence the rule is:

y = 5/4x + b

When x = -4, y = -3, hence the intercept b is found replacing these points into the equation as follows:

-3 = 5/4(-4) + b

-3 = -5 + b

b = 2.

Hence the equation is:

y = 5/4x + 2.

Both perpendicular equations are graphed at the end of the answer.

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(d) solve this differential equation explicitly, either by using partial fractions or with a computer algebra system. use the initial populations 350 and 450.

Answers

The answer would be 400 since it’s between 350 and 459

What is the scientific notation of 500,000,000,000

Answers

Answer:

The scientific notation for 500000000000 is 5 × 1011

Step-by-step explanation:

The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)

your mom is planning to put up fence in front of your house. If the perimeter of the lot is is X + 8x 16. What is the measure of the front side?​

Answers

Answer:

[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]

Which answer choice shows seventy and twenty-three thousandths written in standard form? A 70.023 B 70.230 C 7.023 D 70.0023

Answers

Answer:

A

Step-by-step explanation:

seventy and twenty-three thousandths = 70.023

Answer:

A

Step-by-step explanation:

thank

you

:D

In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.

Answers

The probability of selecting a female student with long hair is 45%

Let there be a total of 100 students in the class

Since 60% of the students are female, therefore out of 100 students 60 will be female students

Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair

Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class

= 45/100

So, there is a 0.45 or 45% chance that a female student with long hair is selected

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find the point that is 2/4 the way from A to B where A(-2, 5) and B(4, 9)

Pls help

Answers

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

What is the Segment Ratio Formula?

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

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You earn $100 per month and want to save 10% in a savings account. Use the savings
calculator to find out how much your total savings would be in 5 years if your account
has an annual interest rate of 1%. (Do not include the $ sign in your reponse) PLEASE HELPP

Answers

With the annual interest of 1%, the total saving after 5 years is $6060.

Interest:

Interest is the amount for a particular principal amount of money at some rate of interest.

Given,

You earn $100 per month and want to save 10% in a savings account.

Here we have to use the savings calculator to find out how much your total savings would be in 5 years if your account has an annual interest rate of 1%.

Through the given details we have identified that,

Monthly earning = $100

Saving per month = 10%

So, in amount it can be

=> 100 x 10/100 = $10

So, for one year the saving without interest is

=> 10 x 12 = 1200

So, When we add the interest of 1% for the year,

Then the interest amount for one year will be,

=> 1200 x 1/100 = 12

So, the total amount including interest for one year,

=> 1200 + 12 = 1212

So, the savings after 5 years will be,

=> 5 x 1212

=> 6060.

Therefore, the total saving amount after 5 years is $6060.

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improperly handled or undercooked poultry and eggs are the most frequent cause of salmonella food poisoning. salmonellosis can be deadly, although most individuals recover on their own. cases must be reported to the cdc, where they are closely monitored. the average number of salmonellosis cases per month in illinois is 2.56. if x is the monthly count of salmonellosis cases in illinois, what distribution does x follow, approximately?

Answers

The distribution that x follow approximately is a Poisson distribution

Given that the the average number of Salmonellosis cases per month in Illinois is 2.56

We now find the approximate distribution of X :

If outcomes the random variable are occurring on a certain time period or in a certain space, then random variable is called Poisson random variable.

In our case, X is the monthly count of Salmonellosis food poisoning cases , so outcomes are occurring on time period of month and are discrete.

Hence distribution of X : the monthly count of Salmonellosis cases follows a Poisson distribution.

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write an expression using exponents that represents the volume of a cube with egde length 4/7 yard. what is the volume of the cube?

Answers

Answer:

[tex]\sf \dfrac{64}{343} \ cubic \ yard[/tex]

Step-by-step explanation:

Volume of cube:

      [tex]\sf \boxed{\bf Volume \ of \ cube =a^3}[/tex]

Here, a is the edge of the cube.

[tex]\sf a =\dfrac{4}{7} \ yard[/tex]

 [tex]\sf Volume \ of \ cube = \dfrac{4}{7}*\dfrac{4}{7}*\dfrac{4}{7}[/tex]

                          [tex]\sf =\dfrac{64}{343} \ cubic \ yard[/tex]

Answer the following prompt using the continuous growth formula A=Pe^rt
You have received a report of a mysterious illness that seems to turn the infected humans into mindless zombies has broken out in a major American city. Since the hungry zombies prey upon innocent people, the outbreak grows continuously at a rate of 12% per day. The outbreak begins with 8 people.
1. Write the formula that matches this scenario.
2. How many zombies will there be after 5 days?
3. How many days will it take for the zombie population to reach 3,700,00 (about the population of Los Angeles, CA)?

Answers

The solution to the questions are

The formula of the scenario is A = 8 * e^0.12tThe number of zombies after 5 days is 15The number of days is 39

How to determine the formula?

The general formula is given as

A = Pe^rt

In this case, we have

P = Initial number of people

r = rate

t = time

From the question, we have

P = 8

r = 12% = 0.12

So, we have

A = 8 * e^0.12t

The number of zombies after 5 days

This means that t = 5

So, we have

A = 8 * e^(0.12 * 5)

Evaluate

A = 15

The number of days to reach 3,700,00

This means that A = 3,700,00

So, we have

8 * e^0.12t = 3,700,00

Divide by 8

e^0.12t = 46250

Take the logarithm of both sides

0.12t = log(46250)

This gives

0.12t = 4.7

Divide

t = 39

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while on vacation Francisco sent postcards and letters to his friends. he spent $3.18 on postage. a stamp for a letter costs 39 cents. How many postcards and letters did he send.

Answers

Answer: 8

Step-by-step explanation: 3.18 divided by 0.39 is 8 (without the decimals)

Eli used the place value strategy to add the numbers 4.69 and 7.7.

What is the very first step he should do to add these numbers correctly?

Answers

The addition according the place value is 12.39

What is place value?

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its location in the number, which might result in a number having two comparable digits with distinct values.

Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, hundreds, and so on. For instance, 5 in 3458 has a place value of 5 tens, or 50. However, 5 thousands, or 5,000, is used to represent the place value of 5 in 5781. Understanding that a digit can have the same value regardless of where it appears in the number is crucial.

Given:

Eli used the place value strategy to add the numbers 4.69 and 7.7.

So, to add using place value strategy we use place value to break the addends into tens and ones.

Now, we add the tens and ones individually to find the whole sum.

So, breaking 4.69

at ones = 4

at tenth = 6

at hundredth = 9

In 7.7

at ones= 7

at tenth = 7

at hundredth = 0

Now, adding according to the place value

=(0 + 9 ) x 1/100 + (7 + 6) x 1/10 + (4 +7) x1

=9/100 + 13/10 + 11

=0.09 + 1.3 + 11

=12.39

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Use an integer or a fraction to describe a slope of this line please!

Answers

Answer:

Step-by-step explanation:

rearrange the distance Formula d=rd to solve for time​

Answers

Answer:

[tex]t=d/r[/tex]

Step-by-step explanation:

Assuming you meant [tex]d=rt[/tex], dividing both sides by [tex]r[/tex] yields [tex]t=d/r[/tex].

Solve.
7. Maria walks at a speed of 2 1/2 miles per hour. How long will it take her to walk a
10-mile trail?

Answers

Answer:

4 hours :)

Step-by-step explanation:

Lets multiply to solve :)

1 hr: 2 1/2

2 hrs: 5

3 hrs: 7 1/2

4 hrs: 10 hrs

it will take 4 hours to walk 10 miles :)

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for the month of april in a certain​ city, 48​% of the days are cloudy. also in the month of april in the same​ city, 26​% of the days are cloudy and snowy. what is the probability that a randomly selected day in april will be snowy if it is cloudy​?

Answers

53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.A typical definition of probability is the ratio of favorable outcomes to all other outcomes in the sample space.The formula for the probability of an event is P(E) = (Number of favorable outcomes) (Sample space).

So,

The probability that the day is cloudy: 48/100The probability that the day is snowy and cloudy: 26/48

The probability that day will be snowy and cloudy at random selection:

48/100 × 26/481248/480053/300

Therefore, 53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

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The coordinates of the point H are (−2,2) and the coordinates of point I are (6,2). What is the distance, in units, between the point H and point I?

Answers

the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

We are given the coordinates of the point as:

H = (- 2, 2)

I = (6, 2)

We need to find the distance between the two points.

We get that:

x₁ = - 2

y₁ = 2

x₂ = 6

y₂ = 2

Distance formula is given as:

Distance = √(y₂ - y₁)² + (x₂ - x₁)²

Substituting the values in the formula, we get that:

D = √(2 - 2)² + (6 + 2)²

D = √ 0² + 8²

D = √8²

D = 8 units.

Therefore, the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

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The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Complete parts a and b. H equals 98 ft a. Write the ratio of height of the building to the number of floors. ​ Then, find the unit​ rate, and explain what it means in this situation.

Answers

If H equals 98 ft and the number of floors of the building is 7 then the unit rate will be 14 feet.

Define ratio:

Ratios are defined as the comparison between two or more quantities or things.

In this question, we will compare the height of the building with the number of floors it has.

We are given;

the height of building 'h' = 98 ft

Number of floors = 7 floors

Ao we can compare their ratios as follow

ratio = 98 feet / 7 floors

Now, in order to get the unit ratio. we will divide the numerator by the denominator.

Unit rate = 14 feet/floor

Thus, each floor of the building has a height of 14 feet.

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Other Questions
please help. urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! In the text below awnser the following question= Which details could the reader cite to show that Marys parents were too self-involved to take good care of her? Select all that apply.1.Her father had held a position under the English Government and had always been busy and sick.2.Her Ayah kept the child out of sight as much as possible.3.She had a little thin face and a little thin body, thin light hair and a sour expression.4.Her mother had been a great beauty who cared only to go to parties and amuse herself. text: When Mary Lennox was sent to Misselthwaite Manor to live with her uncle, everybody said she was the angriest child they had ever seen. It was true, too. She had a little thin face and a little thin body, thin light hair and a sour expression. Her hair was yellow, and her face was yellow because she had been born in India and had always been ill in one way or another.Her father had held a position under the English Government and had always been busy and sick. Her mother had been a great beauty who cared only to go to parties and amuse herself. She had not wanted a little girl at all, and when Mary was born she handed her over to the care of an Ayah. Her Ayah kept the child out of sight as much as possible.One hot morning when Mary was about nine years old, she awakened feeling very angry. She felt crosser still when she saw that the servant who stood by her bedside was not her Ayah.Why did you come? she said to the strange woman. I will not let you stay. Send my Ayah to me.The woman looked frightened, but she only stammered that the Ayah could not come. When Mary threw herself into a passion and beat and kicked her, she looked only more frightened and repeated that it was not possible for the Ayah to come.There was something mysterious in the air that morning. Nothing was done in its regular order and several of servants seemed missing. Those Mary did see slunk or hurried about with scared faces.But no one would tell her anything and her Ayah did not come. She was actually left alone as the morning went on, and at last she wandered out into the garden and began to play by herself under a tree near the veranda.She pretended that she was making a flower-bed, and she stuck big scarlet hibiscus blossoms into little heaps of earth, all the time growing more and more angry. She muttered to herself the names she would call her Ayah when she returned. how much interest would $1,000 earn in 1 year at an annual rate of 2% compounded annually 1: Find the equation of a polynomial with given zeros Read the situation and then decide which form of you in Spanish you would use. You are talking to your pet dog.A. tB. ustedC. vosotrosD. ustedes The main idea of Ephesians 6:1-3 is _____. What term was used to describe the multiple, proprietary databases with years of data and varying datafields that are part of a federated approach to access data in existing applications?. Which property is illustrated by the statement? K(mp) = (km)p Write an equation for the line parallel to the given line that contains C.8C(-1,8); y=8/9x-7y= help me write a love song due soon please help!!!!1st person gets a crown History 3.6.3 Classical Era Civilizations and world religionsHow did the golden ages of Athens and Han China come to an end ? 7. You bought a Gatorade and 4 bags of apples for $5.50. Write the equation that determines how mucheach bag of apples was if the Gatorade cost $2.50. How were Chandra Gupta and Asoka different? Which progressive government reform allowed voters to demand a special election to remove an elected official from office before his or her term had expired?. Choose an example of figurative language from Fern Hill and explain its meaning in your own words. 1. the first method that you will need to create is to calculate the y value of a line, given by the slope(m), the x value (x) and the y intercept (b). your method should be named linevaluefory with a return type of double. y. your method should accept 3 parameters, all of type double. the first parameter will be the slope of the line (name this parameter m), the second parameter should be the x value (name this parameter x) and the last parameter should be the y intercept (name this parameter b). the formula to calculate the y value is y how would you do this? 1. Given the sequence: {5, 7, 9, 11, ...}Which explicit formula generates this sequence?Whats the answer what is the answer? Which of the followingstatements is TRUE about theforebrain?A. The forebrain is the largest area of the brain.B. The forebrain is the hard protective coveringof the head.C. The forebrain is where the spine connects tothe base of the brain.