Can someone please help me​

Can Someone Please Help Me

Answers

Answer 1

Answer:

12x+8

Step-by-step explanation:

Hello,

we know all segment lengths except two

one missing is 3x+3-x-2=2x+1

the other one is 3x+1-x=2x+1

so the total is

x + 2x+1 + 2x+1 + x+2 + 3x+1 + 3x+3

= 12x + 8

Hope this helps


Related Questions

..........help lol xD

Answers

Answer:

equilateral

acute

Step-by-step explanation:

equilateral = all equal angles

acute = all angles less than 90

Answer:

D. Equilateral

Step-by-step explanation:

An equilateral triangle is a three sided shape with sides of the same size. Since all the sides in the image are 9cm, it is considered as an equilateral triangle.

Hope this helps

There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members. Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?" Number line with closed circle on 2 and shading to the left. Number line with closed circle on 2 and shading to the right. Number line with open circle on 2 and shading to the left. Number line with open circle on 2 and shading to the right. Question 2(Multiple Choice Worth 4 points) (07.06) A retirement community has a sign at its main entrance that says "Residents over the age of 55 welcome." Which of the following inequalities best represents the age of residents welcome in the retirement community? z > 55 z 9 a 12 k ≤ 12 k ≥ 12 pls answer all bc I'm giving a lot of points

Answers

Answer:

1. Number line with open circle on 2 and shading to the right.

2. z > 55

Step-by-step explanation:

Question 1

It is > 2, so is the number line with open circle on 2 and shaded to the right

Number line with open circle on 2 and shading to the right.

Question 2

over the age of 55  ⇔ z > 55

Answer:

What the person on top said

Step-by-step explanation:

There smart

without using a calculator, choose the statement that best describes the value of \sqrt{10}
10

square root of, 10, end square root.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
The value of \sqrt{10}
10

square root of, 10, end square root is between 222 and 2.52.52, point, 5.

(Choice B)
B
The value of \sqrt{10}
10

square root of, 10, end square root is between 2.52.52, point, 5 and 333.

(Choice C)
C
The value of \sqrt{10}
10

square root of, 10, end square root is between 333 and 3.53.53, point, 5.

(Choice D)
D
The value of \sqrt{10}
10

square root of, 10, end square root is between 3.53.53, point, 5 and 444.

Answers

Answer:

square root of,10,end square root is between 2.52.52,point,5and333

Answer:

Its choice B

Step-by-step explanation:

I got it from khan academy :)    

Between 4.5 and 5

pleaseeeeeeeeeee helllllllllpppppppppppp​

Answers

Answer:

a)16      (2*2*2*2= 16)

b)16  (-4*-4-16)(-+-=+)

c)500 (5*5*5=125        125*4=500)

d)0.49  (0.7*07)

e)480  (4^=16     9^=81  121^0=1          16+81 -1 =96     96*5=480)

f)5^2  or 25 (a^m/ a^n=a^m-n)

g) 11^14 (reason same as the f one)

h)8.20

i) 4(-4*16=64)

j)900

Help please! Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of MT? A.) 7 B.) 24 C.) 74 D.) 100

Answers

Hey there! :)

Answer:

C) 74 units.

Step-by-step explanation:

MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:

8y + 18 = 12y - 10

Subtract 8y from both sides:

18 = 4y - 10

Add 10 to both sides:

28 = 4y

Divide both sides by 4:

28/4 = 4y/4

y = 7 units. Plug this into the equation for MT:

8(7) + 18 = 74 units.

Answer:

74

Step-by-step explanation:

Set up the equations

8y + 18 = 12y -10

Combine like terms

28 = 4y

Divide each side by 4

y=7

Plug in the value of y in the equation of 8y + 18 since that's the value for MT

8(7) + 18 = 74

Hope this helps!

Can any one please help me I really need help please help me I need help

Answers

Answer:

$8000 worth of sales

Step-by-step explanation:

We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.

First, lets find how much made from his hourly pay.

40 * $15 = $600

Now subtract that from how much he needs,

$1000 - $600 = $400

He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.

If ∠R is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.

Answers

Answer:

To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.

Step-by-step explanation:

We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the "direct" formula (which is just a rearrangement of the c2 = a2 + b2 − 2ab cos(C) formula). It can be in either of these forms:

cos(C) =  a2 + b2 − c22ab

cos(A) =  b2 + c2 − a22bc

cos(B) =  c2 + a2 − b22ca

Answer:

Law of cosines, two sides and the included angle known

Step-by-step explanation:

double check that the question is exactly the same to make sure you get the question correct

"If ∠P is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for p."

HELP 25 PTS ASAP!!!!!! BRAINLIEST

Answers

We can solve for the y-intercepts of both f(x) and h(x) by plugging in 0 as x. f(0) = -6(0)-3 = -3

h(0) = -2cos(pi)-1 = -2(-1)-1  = 1

So the y-intercept of f(x) is -3 and of h(x) is 1. We can then conclude that h(x) has a greater y-intercept than f(x) because 1>-3.

Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube. Prove the relationship between the opposite angles of the given sides. (2 points; 1 point for the Given statement, 1 point for the Prove statement)

Answers

Answer:

m<ABC > m<ACB (angle property of a triangle)

Step-by-step explanation:

Given that: ΔABC

                  AB = AX

Prove: m<ABC > m<ACB

From the given diagram,

ΔABX is an isosceles triangle (two congruent sides and angles)

<AXB = m<ABX = [tex]90^{o}[/tex] (isosceles triangle property)

AC = AX + XC

Thus,

AC > AB

m<ABC = m1 + m3 ≥  [tex]90^{o}[/tex]

m<ACB < [tex]90^{o}[/tex] (acute angle property)

Therefore since in a triangle the longest side is opposite to the greatest angle, then;

m<ABC > m<ACB (angle property of a triangle)

work out 5^-2 x 3 square root 8

Answers

Answer:

6root(2)/25

Step-by-step explanation:

5^-2 = 1/25

3(root(8)) = 6(root(2))

so you get 6(root(2))(1/25)

= 6(root(2))/25

The required simplified value of the given expression is 0.34 or  6√2 / 25.

Given that,
Expression to simply ios given,
5⁻² x 3√8

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34

Thus, the required simplified value of the given expression is 0.34 or  6√2 / 25.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

consider a polynomial f(x)=ax^3 + bx^2 + x + 2/3.if x + 3 is a factor of f(x) and f(x) is divided by x + 2, then we get remainder as 5. find the values of a and b.

Answers

Answer:

a = 2/27

b = 13/27

Step-by-step explanation:

The given polynomial is presented as follows;

f(x) = a·x³ + b·x² + x + 2/3

Given that x + 3 is a factor, we have;

f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0

-27·a + 9·b - 3 + 2/3 = 0

-27·a + 9·b = 7/3........(1)

Also we have

(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5

Therefore;

a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5

-8·a + 4·b - 2 + 2/3 = 5

-8·a + 4·b = 2 - 2/3 = 4/3........(2)

Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;

-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3

-8·a + 12·a = 8/27

4·a = 8/27

a = 2/27 ≈ 0.0741

imputing the a value in equation (1) gives;

-27×2/27 + 9·b = 7/3

-2 + 9·b = 7/3

9·b = 7/3 + 2 = 13/3

b = 13/27 ≈ 0.481.

PLEASE HELP!!!
A sphere has a great circle whose area is equal to 16 Pi what is the volume of that sphere rounded to the nearest hundredth

Answers

Hi there! I haven't done math in a while but I do well and I hope this helps. First, we get our radius from our area, which is about 4 inches. From there, I used the volume formula and got the answer closest to C, or 267.95. Thanks, good luck :)

Please answer this now in two minutes

Answers

Answer:

[tex]7\sqrt{2}[/tex] meters

Step-by-step explanation:

This is a 45 45 90 triangle. This means that two sides of the triangle are equivalent. In this type of triangle, the two equal sides are represented by [tex]a[/tex] and the hypotenuse that you are trying to find (u) is represented by [tex]a\sqrt{2}[/tex]

Therefore, your answer is [tex]7\sqrt{2}[/tex] in simplest radical form.

Answer:

u= 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The missing side is u

sin 45°=7/u    switch u and sin 45°u = 7/sin°45

sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]

so :

u = 7*[tex]\frac{2}{\sqrt{2} }[/tex] u = 14/√2 u = [tex]\frac{7*\sqrt{2} ^{2} }{\sqrt{2} }[/tex] u = 7[tex]\sqrt{2}[/tex]

Complete the table below. You do not need to reduce fractions.

Answers

Greetings from Brasil...

Check the attachment for filling the table

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

Answers

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Answers

Answer:

-7, -8, -9, -10, etc.

Step-by-step explanation:

3(x – 4) ≥ 5x + 2

3x - 12 ≥ 5x + 2

3x - 5x ≥ 2 + 12

-2x ≥ 14

-x ≥ 7

x ≤ -7

Values of x in the solution set include -7, -8, -9, -10, etc.

Hope this helps!

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied
by what factor to produce the radius of sphere B?
o
+10000 N
o
o

Answers

Answer:

1.75

Step-by-step explanation:

The radius of Sphere A = 24 centimeters

The radius of sphere B = 42 centimeters

 [tex]\text{Radius of Sphere B} \div \text{Radius of Sphere A}=42 \div 24\\=1.75[/tex]

Therefore, The radius of sphere A is multiplied  by 1.75 to produce the radius of sphere B

Find the distance between y=−56x−1 and the parallel line that passes through (6,−4). Round your answer to the nearest tenth.

Answers

Answer:

The distance between the two parallel lines is y = -56·x - 1 and the parallel line that passes through the point (6, -4) is 5.91 units

Step-by-step explanation:

The parameters given are;

Equation of the line y = -56·x - 1

The point the parallel line passes = (6, -4)

Given that the slope and intercept form of a line is y = m·x + c

Where:

m = The slope = (y₂ - y₁)/(x₂ - x₁)

c = y- intercept

Comparing y = m·x + c with y = -56·x - 1 gives;

m = -56, c = -1

The equation of the parallel line is presented as follows

y - (-4) = (x - 6)(-56)

y = -56x +336 - 4 = -56x + 332

The formula for the distance, d, between two parallel lines is given by the following relation;

[tex]d = \dfrac{\left | c_1 - c_2\right |}{\sqrt{{a}^{2}+{b}^{2}} }[/tex]

Where:

c₁ and c₂ are the coordinates of the point constant y-intercept in both equations when the line equation is written as follows;

y = -56·x - 1 → y + 56·x + 1 = 0

a and  b are the x and y coefficients

Which gives;

[tex]d = \dfrac{\left | 1 - 332\right |}{\sqrt{{56}^{2}+{1}^{2}} }[/tex] which gives [tex]d = \dfrac{331 \cdot \sqrt{3137} }{3137} = 5.91[/tex]

Please please please urgent help❤️❤️❤️

Answers

Answer:

its G(2)

Step-by-step explanation:

Gg

The answer is G 2 bahaha d. Dnsisisjbd

A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly of all applications were from minority members, and exactly of the open positions were filled by members of the minority. Find the mean of , where is the proportion of minority member applications in a random sample of that is drawn from all applications. Find the standard deviation of . Compute an approximation for , which is the probability that there will be or fewer minority member applications in a random sample of drawn from all applications. Round your answer to four decimal places.

Answers

Answer:

a) Mean of sample proportion = 0.16

Mean of random sample that are minority member applications = 336

b) Standard deviation of p = 0.008

In number terms, it is 16.8 applications.

c) Probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications = 0.1057

Step-by-step explanation:

Complete Question

A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 16% of all applications were from minority members, and exactly 15% of the 2100 open positions were filled by members of the minority.

a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.

b. Find the standard deviation of p.

c. Compute an approximation for P (p ≤ 0.15), which is the probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications. Round your answer to four decimal places.

Solution

a) If the sample is a random sample, he proportion of the applications that will be minority member applications is still going to be approximately the same as the population proportion of the minority member applications.

Mean proportion = p = 0.16

The mean of the sample is then given with is given as

Mean = np

where n = sample size = 2100

p = mean proportion = 16% = 0.16

mean = 0.16 × 2100 = 336

b) The standard deviation of p is given as

σ = √[p(1-p)/n]

= √[0.16×0.84/2100] = 0.008

In real number terms,

= 0.008×2100 = 16.8 applications

c) Probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications

P(p ≤ 0.15)

We will use the normal approximation to the binomial distribution since, np and np(1-p) are both greater than 10.

Mean = 0.16

standard deviation = 0.008

To find P(p ≤ 0.15)

We first need to normalize or standardize 0.15

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.15 - 0.16)/0.008 = -1.25

To determine the required probability

We'll use data from the normal distribution table for these probabilities

P(p ≤ 0.15) = P(z ≤ -1.25) = 0.10565 = 0.1057 to 4 d.p.

Hope this Helps!!!

how do you find percentage lost

Answers

First: work out the difference (decrease) between the two numbers you are comparing. Then divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase. :)

Answer:

It depends

Step-by-step explanation:

It depends on the questions, some times you just substract the number from 100 which is the full percentage but sometimes it is like the example below.

lets say a city lost 2% of population each year population now?

98/100*98*100=0.9604= 96.04%

so the lost hear is 100-96.04=3.96

Add the opposite of 2 1 /2 to the sum of 1.25 and (−1 3/4 ).

Answers

Answer:

-3.0

Step-by-step explanation:

The opposite of 2 & 1/2 is the negation, or -2 & 1/2, or -2.5.

The sum of 1.25 (1 & 1/4 or 5/4) and -1 & 3/4 (-1.75 or -7/4) is -2/4 (or -0.5).

So if we add -2.5 to -0.5, we get -3.0.

Please help me Thank u

Answers

Answer:

Step-by-step explanation:

Fist let's have a look :

(AB) is parallel  with (CD) and there is a line crossing them both.

Now the first question : What is the size x ?

We notice that x and 53° are vertically opposite so they are corresponding angles so the size of x is 53°

The second question : what is the size of y ?

We notice that y and 53° are alternate angles so they are corresponding angles with same size y=53°

The trick is to khow the situation where we have  corresponding angles

Please answer this question now in two minutes

Answers

Answer:

y=x+5

Step-by-step explanation:

The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.D1d2, where d1 and d2 are the lengths of the diagonals Which are equivalent equations? Select two correct answers.

Answers

Answer:

d1=2A/d2

d2=2A/d1

Step-by-step explanation:

The options of this question are:

1. d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2Ad₁

Given:

A=1/2(d1*d2)

Multiply both sides by 2

We have,

2A=d1*d2

Divide both sides by d2

2A/d2=d1*d2/d2

2A/d2=d1

Therefore, d1=2A/d2

Similarly, from the previous equation

2A=d1*d2

Divide both sides by d1

2A/d1=d1*d2/d1

2A/d1=d2

Therefore,

d2=2A/d1

Options

2. d₁= 2A/d₂

4. d₁= 2A/d₂

Answer:

2 and 4 are the answers

Step-by-step explanation:

Four consecutive multiples of 3 have a sum of 78? What is the second largest number?

Answers

Answer:

26

Step-by-step explanation:

Let x be the first number

the second one is x+1 the third one is x+2 the sum is : x+ (x+1)+(x+2)= 78so : 3x+3 = 78 then : 3x = 75 finally x = 25 the second larger number is x+1 = 25+1 = 26

Help plz I will make u a barinllest

Answers

A I believe a is correct

Find the solution of this system of equations shown on the graph.

Answers

Answer:

(0, 6)

Step-by-step explanation:

The solution is the point of intersection of the lines.

(0, 6)

Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °

Answers

Answer:

ZX = 1.3 in

EG = 3.0 in

M∠X = 48°

M∠G = 25°

Step-by-step explanation:

As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal

Therefore if we say that

ZX = EF

So ZX = 1.3 in.  

Now the same is applied for other sides and angles

EG = XY

So, EG = 3.0 in

M∠X = M∠E

hence, M∠X = 48°

For the M∠ G,

The angle is

= 180° - 107° - 48°

= 25°

Hence, the M∠ G is 25°

Franklin's grandmother opened a savings account with $275 to help him save money for college. Franklin will deposit $55 each month. His grandmother will deposit $40 each month. If Franklin makes no additional deposits or withdrawals, which equation can be used to find A, the amount of money in Franklin's savings account after p months?

Answers

Answer:

X = 275 + 95p

Step-by-step explanation:

Hello,

This question requires us to write an expression to find how much he would've saved over a certain period of time.

Initial deposit = $275

Franklin's monthly deposit = $55

Franklin grandmother's deposit = $40

Let the amount he would've saved over a certain period of time p = x

X = 275 + (55 + 40)p

X = 275 + 95p

Eg, how much would he have saved in 5 months

X = 275 + 95(5)

X = 275 + 475

X = $750

I.e in 5 months, he would've saved $750

Other Questions
This is the 3rd paragraph The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)a. not all women are strongb. not all the children can be above averagec. not all Norwegian bachelor farmers are good lookingd. half the children must be below average Can somebody plz help me Copy the countdown function from Section 5.8 of your textbook. def countdown(n): if n >> countup(-3) -3 -2 -1 Blastoff! Write a Python program that gets a number using keyboard input. (Remember to use input for Python 3 but raw_input for Python 2.) If the number is positive, the program should call countdown. If the number is negative, the program should call countup. Choose for yourself which function to call (countdown or countup) for input of zero. Provide the following. The code of your program. Output for the following input: a positive number, a negative number, and zero. An explanation of your choice for what to call for input of zero. a fertile area in a desert with a steady water supply Based on this diagram, in this ecosystem fungi and bacteria are the:primary consumers.primary producers.tertiary consumers.decomposers. You never say what you are thinking, ____?A. do weB. don't weC. don't youD. do you Use what you have read about western women's suffrage to create a table of the key milestones on the way to womens suffrage in the United States. Put the milestones in chronological order from the top to the bottom. Be sure to cover all 10 Western states. The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles. When 45.8 g of K2CO3 react with excess HCI, 46.3 g of KCl are formed. Calculate the theoretical and % yields of KCI. Accounts receivable $29,500 Long-term notes payable $20,000 Accounts payable 13,500 Office supplies 4,800 Buildings 48,000 Prepaid insurance 4,680 Cash 7,900 Unearned services revenue 6,000 Required:Compute Chavez Company's current ratio using the above information. Is an avalanche a primary or secondary effect of an earthquake Which error must be corrected to follow MLA guidelines?Book titles should be followed by commas.Dates of publication should be introduced by colons.Book titles should be italicized.Dates of publication should include days and months. Ladders, Inc. has a net profit margin of 5.5 % on sales of $ 48.5 million. It has book value of equity of $ 41.8 million and total book liabilities of $ 28.2 million. What is Ladders' ROE? ROA? Note: Assume the value of Interest Expense is equal to zero. Use x=1 to identify the value of each expression. In my bondage and My Freedom by Frederick Douglass ,what impact does learning to read have on douglass? Please help!!! f(x) = x2. What is g(x)? In what way did Catharine Beecher expect women to make social changes?A. By appearing in public to speak for social causesB. By showing that women were better than menC. By getting men to take over the domestic matters of the homeD. By acting nice so that men would be willing to give them what theywantedSUBMIT Adam runs for 10 minutes at 30 miles per hour. How far does he run? What was Stephen Douglas position on slavery during his debates with Abraham Lincoln? Popular sovereignty should allow each state to decide whether to be a free state or a slave state. Slavery is morally wrong and should be abolished across the nation. Slavery would die on its own with or without the support of American voters. African Americans deserve all of the rights listed in the Declaration of Independence.