in triangle ABC A-B= 15 degree, B-C= 30 degree find A,B,C

Answers

Answer 1

Answer:

A=80 , B=65, C=35

Step-by-step explanation:

A-B=15 ⇒A=B+15

B-C=30⇒-C=30-B ⇒C=B-30

the sum of angle of a triangle = 180

A+B+C=180 ( substitute A and C)

B+15+B+B-30=180

3B-15=180

3B=180+15

B=195/3=65

C=B-30 ⇒ C=65-30=35

A=B+15=65+15=80

check : A+B+C=180

             80+65+35=180 ( correct)


Related Questions

2x.tg60= 10+csc30 plis

Answers

Answer:

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

Step-by-step explanation:

I'm assuming the angles are in degrees.

[tex]2x \tan(60\º)=10+\csc(30\º)[/tex]

[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\sin(30\º)} $[/tex]

[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\frac{1}{2} } $[/tex]

[tex]$2x\cdot \sqrt{3}=10+2} $[/tex]

[tex]$x=\frac{12}{2\sqrt{3}} $[/tex]

[tex]$x=\frac{6}{\sqrt{3}} =\frac{6\sqrt{3}} {3} }=2\sqrt{3} $[/tex]

How do we solve 56x + 79 if x = 23? (30 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT FIRST GETS BRAINLIEST.

Answers

Hello friend!

The answer is: 1367

First, since x = 23, we rewrite the problem.

56(23) + 79 = ?

Now we need to figure out 56 time 23

56 times 23 = 1288

Now we have 1288 + 79.

1288 + 79 = 1367

Answer:

1,367

Explanation:

Step 1 - Input the value of x in the given expression

56x + 79

56(23) + 9

Step 2 - Multiply fifty six by twenty three

56(23) + 79

56 × 23 + 79

1,288 + 79

Step 3 - Add

1,288 + 79

1,297

Therefore, the answer to the given expression is 1,367.

I got this wrong please help me get the right answer in the first little box marked in red. thx

Answers

Answer:

The inverse is 1/2x +2

Step-by-step explanation:

f(x) = 2x-4

y= 2x-4

To find the inverse

Exchange x and y

x = 2y-4

Solve for y

Add 4 to each side

x+4 = 2y

Divide by 2

x/2 + 4/2 = 2y/2

1/2x +2 = y

The inverse is 1/2x +2

Pls answer this urgently

Answers

Answer:

The pic there has a step by step explanation

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[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]

[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]

[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]

[tex]= \frac{992640625^t6}{1265625}[/tex]

[tex]= \frac{922640625tttttt}{1265625}[/tex]

[tex]= 729t^6[/tex]

Answer : [tex]729t^6[/tex]

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Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?

Answers

Answer:

greatest number of solutions is 2

Step-by-step explanation:

one is a parabola, the other is a line

so it can intersect in 0, 1, 2 points

PLZ HELP!!!! ASAP !!!!

Answers

Answer:

(A)

Sin á = a/c

Cos ∅ = a/c

Tan á = a/b

(B)

Sin á = a/c

Cos á = b/c

Tan á = a/b

Therefore á=

(inverse sin) a/c

Or

(Inverse cos) b/c

Or

(Inverse tan) a/b

(C)

If b = 12 and c = 13

then a =√(c²-b²)

= 5

Hence 5/13 = a/c

Therefore sin á = cos ∅ = a/c = 5/13

Can someone tell me if this is correct? I said neither is correct.

Answers

Answer:

Neither is correct

Answer:

You are right.

Step-by-step explanation:

Neither transformation gives the triangle FGE.

solve 3(11)× =3,993 for x​

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{x = 3}[/tex]

Given the equation:

[tex]3(11)^{x} = 3993[/tex]

Divide both sides by 3:

[tex](11)^{x} = 1331[/tex]

Rewrite both sides of the equation with a base of 11.

[tex]1331 = 11^{3}[/tex], therefore:

[tex](11)^{x} = 11^{3}[/tex]

x = 3.

Answer:

121

Step-by-step explanation:

121 x 33 = 3993

Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality. lies in the shaded regions of both the top and bottom inequalities. does not lie in the shaded region of the top or bottom inequalities.

Answers

Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

If you want to learn more, you can read:

https://brainly.com/question/20067450

Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulness C. to create demand D. to meet all consumer needs

Answers

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. How much money does Mr Lim have?​

Answers

Answer:

Mr. Lim will have $2500

Step-by-step explanation:

Given:

The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;

Mr. Lim has $450 more than what Mr. Tan has;

Mr. Chan has double the amount of money than what Mr. Tan has.

Therefore, if we assume that the amount of money Mr. Tan has as x, then...

Total money = Mr. Tan + Mr. Lim + Mr. Chan

therefore,

8650 = x + (x + 450) + 2x

8650 = x + 2x + x + 450

8650 = 4x + 450

8650 - 450 = 4x

8200 = 4x

8200/4 = x

2050 = x

As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.

I hope this helped you :)

Please help me answer I need an answer asap:3

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

it's 115

Answer:

115 degrees.

Step-by-step explanation:

< DBC = (180 - 40) / 2 = 70    ( as it is a base angle of an isosceles Δ)

< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).

So < EBC = 70 + 45 = 115 degrees.

Solve the system of equations algebraically. 5x-3y=6 and 6x-4y=2 a. many solutions c. no solution b. (8,14) d. (9,13)

Answers

Answer:

d. (9, 13)

Step-by-step explanation:

5x-3y=6  /*6

6x-4y=2  /*(-5)

30x - 18y = 36

-30x +20y = - 10

            2y = 26

              y = 13

5x-3y=6

5x - 3*13 = 6

5x - 39 = 6

5x = 45

x = 9

(9, 13)

If an octagon is 24, how many is a pentagon?

Answers

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If an octagon is 24, how many is a pentagon?

Ans : Pentagon has 5 sides.

( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )

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The pentagon is 15, when octagon is 24.

What is Polygon?

A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).

Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.

Here, given that, Octagon = 8 sides = 24

So, 1 side= 3

Then, we get, pentagon = 5 sides = (5×3) = 15

Hence, the pentagon is 15.

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A graph has Quantity Demanded on the x-axis, from 0 to 60 in increments of 10, and Price on the y-axis, from 0 to 20 dollars in increments of 2 dollars and 50 cents. 2 lines with identical negatives slopes are shown. Line D is slightly lower than line D 1. This graph shows the quantity of t-shirts demanded at D and D1. The change in quantity demanded caused by a change in the price of t‐shirts is shown as a shift to the right of the demand curve. a shift to the left of the demand curve. movement along the demand curve.

Answers

Answer:

Movement along the demand curve

Step-by-step explanation:

edge 2021.

The change in price as shown in the graph is shown as movement along the demand curve.

What is demand and supply?

The terms demand and supply are common themes in economics. They show the relationship between the amount that a seller wants to sell and the amount that a buyer wants to buy. A number of factors affect the demand curve.

The change in price as shown in the graph is shown as movement along the demand curve.

Learn more about demand and supply: https://brainly.com/question/13353440

What is the missing reason in the proof?
Statements
Reasons
1. AB / CD; BC // DA 1. given
2. Quadrilateral ABCD 2. definition of parallelogram
is a
3. AB CD; BC = DA 3. opposite sides of a
parallelogram are >
4. AC AC
4. reflexive property
5. AABC 2 ACDA 5. ?
perpendicular bisector theorem
Pythagorean theorem
HL theorem
SSS congruence theorem

Answers

Answer:

The correct option is;

SSS congruency theorem

Step-by-step explanation:

Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and  side BC is congruent to side DA and also that side AC is congruent to side CA, we have;

Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).

The missing reason in the proof is: SSS Congruence Theorem.

What is the SSS Congruence Theorem?SSS means side-side-side, meaning two triangles have three pairs of congruent sides.According to the SSS Congruence Theorem, two triangles with three pairs of congruent sides must be congruent to each other.

Thus, ΔABC and ΔCDA has been shown to have three pairs of congruent sides, therefore, the missing reason in the proof is: SSS Congruence Theorem.

Learn more about SSS Congruence Theorem on:

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761.8 x 10^-8 Express the number in scientific notation. A) 7.618 x 10^-6 B) 7.618 x 10^-8 C) 7.618 x 10^2 D) 7.618 x 10^6

Answers

Answer:

[tex]\huge\boxed{A)\ 7.618\times10^{-6}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot10^n[/tex]

where

[tex]1\leq a<10;\ n\in\mathbb{Z}[/tex]

We have

[tex]761.8\times10^{-8}[/tex]

We need to move the decimal point two places to the left.

[tex]\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})[/tex]

use

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]=7.618\times10^{2+(-8)}=7.618\times10^{-6}[/tex]

Answer:

a

Step-by-step explanation:

A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead she hikes for 8 miles along a bearing of N27°W which brings her to the Muffin Ridge Observatory. From there, she knows a bearing of S38°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquach Point, to the nearest tenth of a mile?

Answers

Answer:

9.05 mile

Step-by-step explanation:

From the information given :

Let represent S for Sasquatch Point

Let C represent Chupacabra Trailhead

Let M represent Muffin Ridge Observatory

The diagram for the bearing of the information given can be seen in the attached file below.

At angel C = 90° -27° =  63°

The Alternate angles are shown in the second diagram below.

In order to determine the distance she will have to walk from the Muffin Ridge Observatory to Sasquatch Point, we use the sine formula:

[tex]\mathtt{\dfrac{sin \ C }{c} = \dfrac{sin \ S}{s}}[/tex]

[tex]\mathtt{\dfrac{sin \ 63 }{c} = \dfrac{sin \ 52}{8}}[/tex]

By cross multiply

8 × sIn 63  = c× sin 52

[tex]\mathtt{c = \dfrac{8 \times Sin 63}{Sin \ 52}}[/tex]

[tex]\mathtt{c = \dfrac{7.1281}{0.7880}}[/tex]

c = 9.0458 mile

c [tex]\simeq[/tex] 9.05 mile to  the nearest tenth

what is 136 1/50% of 231

Answers

Answer:

Step-by-step explanation:

136 1/50 % of 231 = 6801/50 % * 231

                             [tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]

                             = 314.2062

help help help me plZZZZZ ill give you brainly ;DDD

Answers

Answer:

the answer is 60.7

Step-by-step explanation:

60 to has a between numbers like given in the picture

so as number line it's

60.1 . 60.2 60.3 60.4 60.5 60.6 60.7 60.8 and continue

if u get any 3 digit number like 600 to 650 in number line

u do it like it the same 600.1 600.2.... and go on

Answer:

63½ or 63.5

Step-by-step explanation:

65-60=5

10points=5

1point=?

1×5/10= ½

that means the sequence continues after adding ½ i.e

60..60½...61...61½...62...62½...63...63½...64..64½...65

you have been asked the 8th number which is 63½

A piece of aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. What is its density of the aluminum rounded to the nearest hundredth? Only enter numerical values, which can include a decimal point.

Answers

Answer:

6.87 g/mL

Step-by-step explanation:

The density of an object can be found by dividing the mass by the volume.

[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]

We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.

[tex]m= 87.3 g\\\\v=12.7 mL[/tex]

Substitute the values into the formula.

[tex]d= \frac{87.3 g}{12.7 mL}[/tex]

Divide 87.3 g by 12.7 mL

[tex]d=6.87401575 g/mL[/tex]

Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

[tex]d= 6.87 g/mL[/tex]

The density of the aluminum is about 6.87 grams per milliliter.

Solve the inequality for x.
7 > 2x+9

Answers

Answer:

x<-1

Step-by-step explanation:

[tex]7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1[/tex]

Point F lies on line EG and point M lies on line EN. If F, E, and M are collinear, what must be true of these rays?

Answers

Answer:

Step-by-step explanation:

Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line. Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line.

Someone pls help & at least try to show a little work . I will be marking someone brainliest ! & thank you sm i appreciate you !

Answers

Answer:

4+7x=32

7x=32-4

7x=28

x=4

Step-by-step explanation:

Answer:

This is how I calculated it.

If the total is $912

And the equipment costs $612.

I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)

Each uniform costs $25

So I did $300:25= 12

The School purchased 12 uniforms.

Have a nice day.

Select the correct answer. Frank created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Frank drew?

Answers

The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

Frank created a scatter plot and drew a line of best fit, as shown.

From the graph, the two points are taken that are (0, 16) and (3, 15).

(x₁, y₁) → (0, 16)

(x₂, y₂) → (3, 15)

Then the equation of line will be

y – 16 = -1/3(x – 0)

       y = -(1/3) x + 16

Then the correct option is D.

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Question 5 of 5
Select the correct answer.
Which of these tables represents a function?

Answers

Answer:

the answer is w

Step-by-step explanation:

the answer to that question is w

Answer: y

Step-by-step explanation:

there can not be two of the same number in the x row

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?

Answers

List all the different combinations with total cost:

Airplane  + van = 350 + 60 = $410

Airplane  + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?

Answers

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

Answer:

$809.92

Step-by-step explanation:

(see attached for reference)

Recall that the formula for compound interest (compounded continuously) is

A = P e^(rt)

where,

A = final amount (we are asked to find this)

P = principal = given as $600

r = interest rate = 5% = 0.05

t = time = 6 years

e = 2.71828 (mathematical constant)

Substituting the known values into the equation:

A = P e^(rt)

= 600 e^(0.05 x 6)

= 600 (2.71828)^(0.30)

= $809.92

Can guys please help me, please solve E

Answers

Answer:

Step-by-step explanation:

h(x)=12/x

h(a)= 12/a  ( a is a variable number just replace x with a)

Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?

Answers

Answer:

(2, -7)

Step-by-step explanation:

Other Questions
plz help ASAP! thank u the telephone numbers in a telephone book is Categoricalor Quantitative? Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, ... In a simple random sample of 800 people age 20 and over in a certain country, the proportion with a certain disease was found to be 0.165 (or 16.5%). Complete parts (a) through (c) below. a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the disease? (Round to four decimal places as needed.) b. Find the margin of error, using a 95% confidence level, for estimating this proportion. m=______(round to three decimal places as? needed.)c. Report the 95% confidence interval for the proportion of all Americans age 20 and over with diabetes. Please formalize the argument seen in the following passage:look round the world: contemplate the whole and every part of it: you will find it to be nothing but one great machine, subdivided into an infinite number of lesser machines, which again admit of subdivisions to a degree beyond what human senses and faculties can trace and explain. all these various machines, and even their most minute parts, are adjusted to each other with an accuracy which ravishes into admiration all men who have ever contemplated them. the curious adapting of means to ends, throughout all nature, resembles exactly, though it much exceeds, the productions of human contrivance; of human designs, thought, wisdom, and intelligence. since, therefore, the effects resemble each other, we are led to infer, by all the rules of analogy, that the causes also resemble; and that the author of nature is somewhat similar to the mind of man, though possessed of much larger faculties, proportioned to the grandeur of the work which he has executed. by this argument a posteriori, and by this argument alone, do we prove at once the existence of a deity, and his similarity to human mind and intelligence 6. If the equations kx - y = 2 and 6x - 2y = 3 have a solution then state the value of k a) K = 3 b) k 3 c ) K 0 d) k = 0 7. 21. What are the two main ways of working with clay? 2. Using semiannual compounding, what is the value to you of a 9% coupon bond with a par value of $10,000 that matures in 10 years if you require a 7% return plz help me asap!!!!!What is the equation of the linear function represented by the table?xy5142111845y = negative x + 9y = negative x + 13y = x + 13y = x + 9 There were 96 people in a queue to get into a fun fair. There were at least4 children between any 2 adults.What was the largest possible number of adults in the queue? Which value would complete the last cell?(1 point)3.0100.025.04.0 Please answer this in two minutes Read the excerpt from The Ancient City.Why does the author include details about two typesof tunics?The basic article of clothing was the tunic. There weretwo types. The exomis, worn by slaves and thosedoing manual work, was fastened at the left shoulderwith a pin or knot, leaving the right shoulder bare, andwas tied at the waist with a girdle. The chiton was amore refined version, fastened at both shoulders.O to demonstrate that new fashions were important inrefined Greek cultureO to show that clothing style depended on a person'srole in societyto illustrate that women and men wore differentkinds of clothingO to explain that Greek-style tunics were also worn bypeople in other societies Read the passage from The Beginnings of the Maasai.Our relationship with Enkai is essential to the tribe. Enkai is neither male nor female. The sky god is powerful, but can change from nurturing to vengeful depending on our behavior. Sometimes Enkai is Enkai Narok, the Black God, happy with us and blanketing the sky with dark clouds that pour out rain to nourish the plains. When angry, though, Enkai becomes Enkai Nonyokiethe Red God. In these times, the sun grows incredibly hot until the earth dries up and becomes barren. Because of this, we work to keep Enkai happy.Which information from this passage about Enkai is most important to include in a summary of the overall story? Which of the following is not true concerning Internet websites_____ are:4. Suppose that the distance of fly balls hit to the outfield (in baseball) is normallydistributed. We randomly sample 27 fly balls. Their recorded distances in feet234, 310, 285, 249, 210, 311, 265, 290, 308,254, 295, 287, 231, 302, 325, 308, 221, 237,312, 277, 259, 223, 340, 204, 214, 303, 309Let X be the distance of a fly ball.Use Excel to calculate the following:a. (1 pt) mean of the sample, x =b. (1 pt) standard deviation of the sample, s =C. (2 pts) Calculate the t-score at a 96% confidence level:d. (2 pts) Calculate the Error Bound (EBM), using the formula, EBM =(t)(s//n)e. (1 pt) At 96% confidence level, provide the confidence interval (CI) for themean distance in feet of a fly ball.hantor 92D How did Queen Victoria react tothe idea of being a constitutionalmonarch?A. She accepted it.B. She objected but was forced to accept the role.C. She vigorously fought against this role. from The Voice that Challenged a Nation: What information does this excerpt further convey about segregation? Arriving in Savannah after an overnight trip, Marian and her mother were greeted warmly by school officials and were put up at the home of the college president. That evening an audience of nearly a thousand people turned out for the concert in Savannahs new Municipal Auditorium, whites sitting in the boxes and dress circle, blacks in segregated orchestra or gallery seats. [Marian] Anderson, the soloist, has one of the most remarkable voices ever heard in Savannah, reported the Savannah Morning News. Question 47 options: a) Marian encounters segregation, even when she is the star performer. b) Savannah offers better living conditions for African-Americans. c) Marians performance in Savannah inspires the audience to end segregation. d) People dislike the performance because Marian is African-American. Stepwise regression is a variable screening method, not a model building method.A. TrueB. False Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$