How are nuclear reactions important to the universe?Justify your answer.

pls help this is due in 15 minutes :(

Answers

Answer 1

Answer:

its very important in science because without atoms the universe would have not been created and our sun and our own planets

Answer 2

The nuclear reactions generally occurs in the deep part of the earth called the core. It is the fusion reaction which produce huge amount of energy to the universe. So the nuclear reactions important to the universe.

What is a nuclear fusion?

The process in which two lighter nuclei fuse together to form a heavier nucleus with the simultaneous release of a huge amount of energy is defined as the nuclear fusion. Some mass is always lost which is converted into energy in accordance with Einstein's equation.

It is the fusion reactions which are common in the interior of stars. The energy of our sun is believed to arise from a number of complex fusion steps. The sun is the ultimate source of energy in the universe which is due to the fusion reaction.

The nuclear reactions are responsible for the nucleosynthesis which means the formation of the elements in the universe.

To know more about nuclear reactions, visit;

https://brainly.com/question/3246846

#SPJ3


Related Questions

In the data table, distance is measured in meters and time is in seconds. Calculate the boy’s average velocity using the equation

average velocity= total distance / total time

Answers

Answer:

23.59 for the average pls give brainliest sis

Answer: 23.59

HOPE THIS HELPS :D

Br
A tow truck pulls a 1,500 kg car with a net force of 2,000 N. What is the
acceleration of the car? DO NOT FORGET CORRECT UNITS.

Answers

Answer:

a = F/m = 4000/1500 = 2.66m/s^2

Explanation:

A tow truck pulls a mass of 1500 kg with a force of 2000 N then the acceleration of the truck will be equal to 1.33 m/s².

What is Force?

A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.

Being such a vector quantity, a force does have magnitude and direction. The SI unit metric newton is used to measure it (N). The letter F stands for force.

According to Newton's second law's original formulation, an object's net force is equal to the speed that its momentum is changing over time.

As per the given information in the question,

Mass of car, m = 1500 kg

Force, F = 2000 N

Then, the acceleration will be,

F = m × a

a = 2000/1500

a = 1.33 m/s²

To know more about Force:

https://brainly.com/question/13191643

#SPJ2

is it true that mass is a measure of the force of gravity on an object​

Answers

Answer:

yes it is true

Explanation:

where are the new skin cells made

Answers

Answer:

epidermis

The top 18 to 23 layers of your skin are made of dead cells. New skin cells form at the bottom of the epidermis, which is the top part of your skin. Skin cells change shape. They start off kind of fat and square.

Explanation:

In order to get the most benefits from exercise with the least amount of risk, you should

Answers

Answer:

always stretch before you exercise

Explanation:

If a 6kg bird is pushed by the wind with a force of 10 N. how fast does the bird
accelerate?

Answers

Answer:

a=1.667 m[tex]s^{-2}[/tex]

Explanation:

F=ma, here force is given as 10N and mass of bird is 6kg, so using the formula acceleration can be calculated as follows

∴ F=ma

1N= 1 kg m[tex]s^{-2}[/tex]

[tex]a=\frac{F}{m}[/tex]

[tex]a=\frac{10 kg ms^{-2} }{6 kg}[/tex]

∴ a= 1.667 m[tex]s^{-2}[/tex]

Melanie is given an unknown substance by her teacher. Melanie’s teacher tells her that the substance has a bitter taste. Melanie also observes that the substance is slippery. These properties indicate that the substance may be which of the following?

Answers

Answer:

base

Explanation:

I hope this helps

Answer:base

Explanation:

Se tiene una esfera gaussiana que encierra a un cubo de lado "a" que tiene una carga neta q. ¿Cuál es el flujo de campo eléctrico sobre la superficie de la esfera gaussiana?

Answers

Answer:

Φ =    Q/ε₀

Explanation:

Una esfera Gaussiana, es una esfera imaginaria en cuya superficie el campo eléctrico es constante. El campo eléctrico es el producido por la carga que está encerrada por la superficie. De tal modo que si tenemos un cubo con una carga neta igual a Q y la asumimos ubicada en el centro del cubo (que es el centro de la esfera gaussiana de radio x), tendremos:

El flujo eléctrico es:

Φ = ∫ E*dS = Q/ε₀       Esta es la primera ecuación de Maxwell como E es constante por definicion

El area de una esfera es: A(s) = 4*π*x²

E * 4*π*x² = Q/ε₀

E = Q/4*π*ε₀* x²

La distancia que hay del centro del cubo a un vertice (x) es:

x² = a² + a²

x = √2a²

x = a*√2

Sustituyendo x por su valor  

E =    Q/4*π*ε₀*2*a²

Entonces

Φ =    Q/4*π*ε₀*2*a²* ∫ dS

Φ =    [Q/4*π*ε₀*2*a²] *[4*π*2*a²  ]

Φ =    Q/ε₀

A rocket is shot out of a navy battleship to test a new rocket. It takes 16 seconds for the rocket
to reach its destination after leaving the barrel. If its final velocity was found to be 200 m/s,
then what was the rocket's acceleration?

Answers

the acceleration was 200 m/s or 69420

A sheet of BCC iron 1.5-mm thick was exposed to a carburizing atmosphere on one side and an carburizing atmosphere on the other side at 725°C. After having reached steady state, the iron was quickly cooled to room temperature. The carbon concentrations at the two surfaces were determined to be 0.012 and 0.0069 wt%. Calculate the diffusion coefficient if the diffusion flux is 3.6 × 10-8 kg/m2-s, given that the densities of carbon and iron are 2.25 and 7.87 g/cm3, respectively.

Answers

Answer:

Diffusion coefficient D = 2.6613 × 10⁻¹¹ m²/s

Explanation:

From the given information:

Carbon concentration [tex]C_c[/tex] = 0.012

Iron concentration [tex]C_{Fe}[/tex] = 100 - 0.012 = 99.988

Density of carbon = 2.25 g/cm³

Density of iron = 7.87 g/cm³

We can convert the carbon concentrations from weight percentage to kilograms carbon per meter cubed by using the formula.

[tex]C^*_c = \dfrac{C_c}{\dfrac{C_c}{\rho_c}+\dfrac{C_{Fe}}{\rho_{Fe}}}\times 10^3[/tex]

[tex]C^*_c = \dfrac{0.012}{\dfrac{0.012}{2.25 \ g/cm^3}+\dfrac{99.988}{7.87 \ g/cm^3}}\times 10^3[/tex]

[tex]C^*_c = \dfrac{0.012}{0.00533 \ g/cm^3 + 12.71 \ g/cm^3} \times 10^3[/tex]

[tex]C^*_c = 0.9437 \ kgC/m^3[/tex]

However; for 0.0069 wt% C

[tex]C^*_c = \dfrac{C_c}{\dfrac{C_c}{\rho_c}+\dfrac{C_{Fe}}{\rho_{Fe}}}\times 10^3[/tex]

[tex]C^*_c = \dfrac{0.0069}{\dfrac{0.0069}{2.25 \ g/cm^3}+\dfrac{99.9931}{7.87 \ g/cm^3}}\times 10^3[/tex]

[tex]C^*_c =0.5429 \ kgC/m^3[/tex]

Thus; the diffusion coefficient can be computed by using the formula:

[tex]D = - J \begin {bmatrix} \dfrac{x_A-x_B}{C_A-C_B}\end {bmatrix}[/tex]

[tex]D = - (3.6 \times 10^{-8} \ kg/m^2-s) \begin {bmatrix} \dfrac{-15^{-3} \ m }{0.9437 \ kgC/m^3 - 0.5429 \ kgC/m^3}\end {bmatrix}[/tex]

D = 2.6613 × 10⁻¹¹ m²/s

A child appears to be running into the street aheadIt takes 23 seconds for the driver to react and begin to brake, but this time at a rate of - 7.5 m/s ^ 2 . What is the stopping distance for the car in this situation?

Answers

Answer:

Explanation:

Given

acceleration a = - 7.5 m/s^2

time t = 23secs

Required

Stopping distance S

First let us get the initial velocity if the child using:

v = u +  at

Note that v = 0

0 = u -7.5(23)

u = 7.5 * 23

u =172.5m/s

Using the equation of motion to get the stopping distance:

v² = u²+2aS

0 = u²+2aS

-u² = 2aS

-172.5² = 2(-7.5)S

29,756.25 = 15S

S =29,756.25/15

S = 1,983.75m

Hence the stopping distance is 1,983.75m

length measures the amount of matter in a substance or an object. true or false ?​

Answers

Answer:

false

Explanation:

Answer:
False
Explanation:

carl walks a distance of 100 meters at a speed of 4 m/s. how much time does it take? ( please show step-by-step explanation )​

Answers

Answer:

25s

Explanation:

To find the amount of seconds it takes, you divide 100 (the meters) by 4 (the meters per second) the meters then cancel out, and you are left with 25 s

convert 72km\hr into SI unit

Answers

Answer:

hello we can't convert 72 into s18 because that is another one and another one

Explanation:

0 please Marks as brainleast

DESPERATE WILL GIVE BRAILIST
Which of the following is NOT an agent of change in the rock cycle?
A. Cooling and crystallization
B. Weathering and erosion
C. Cementation and compaction
D. Drying and decaying

Answers

Answer:

A

Explanation: I don't think I ever heard of Crystalization being apart of the rock Cycle but I could be wrong hope this helps

Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?

Answers

Answer:

On Earth, the acceleration due to gravity is 9.8 m/s/s. ... In other words, you weigh more on Earth; you would weigh less on the moon. For instance, if you take a 10 kg bowling ball to the moon, it would still have a mass of 10 kg. However, its weight would be much less because the moon's gravity is relatively weak.

Explanation:

Two blocks are arranged at the ends of a massless cord over a frictionless massless pulley as
shown in the figure. Assume the system starts
from rest. When the masses have moved a distance of 0.317 m, their speed is 1.33 m/s.
The acceleration of gravity is 9.8 m/s
2

What is the coefficient of friction between
m2 and the table?

What is the magnitude of the tension in the
cord?
Answer in units of N.

Answers

Answer:

The coefficient of friction between m₂ and the table is approximately 0.2703

The magnitude of the tension in cable is 28.737 N

Explanation:

The given parameters are;

The mass of the block on the table, m₂ = 5.8 kg

The mass of the hanging block, m₁ = 4.5 kg

The distance in which the block has moved = 0.317 m

The speed after the block moves = 1.33 m/s

The acceleration due to gravity, g = 9.8 m/s²

The coefficient of friction between m₂ and the table = μ

The acceleration, a, of the blocks is given from the formula of speed, v, of a body at a given distance, s, from rest as follows;

v² = 2 × a × s

Where;

v = 1.33 m/s

s = 0.317 m

Substituting the values gives;

1.33² = 2 × a × 0.317

a = 1.33²/(2 × 0.317) ≈ 2.79

The acceleration, a ≈ 2.79 m/s²

Therefore, we have the force acting on the system given as follows;

Weight of m₁ - Frictional force of m₂ = (m₁ + m₂) × a

4.5 × 9.8 - 5.8 × 9.8 × μ = (4.5 + 5.8) × 2.79

4.5 × 9.8 - 5.8 × 9.8 × μ = 28.737 N

(4.5 × 9.8)N -  28.737 N = 5.8 × 9.8 × μ

44.1 N -  28.737 N =56.84 N × μ

15.363 N = 56.84 N × μ

μ =  15.363 N/(56.84 N) ≈ 0.2703

The coefficient of friction between m₂ and the table = μ ≈ 0.2703

The coefficient of friction between m₂ and the table ≈ 0.2703

The magnitude of the tension in cable = (m₁ + m₂) × a = 28.737 N.

The magnitude of the tension in cable = 28.737 N

A dragster's top acceleration is 60m/s2. If it accelerates for 3 seconds from the starting line, how fast will it be going

Answers

Answer:

180 m/s

Explanation:

acceleration = 60 m/s2

time = 3 secs

u(initial velocity) = 0 m/s

v(final velocity) = ?

equation used is = v = u + at

0 + 60*3

v = 180 m/s

A dragster's top acceleration is 60 meters/second². If it accelerates for 3 seconds from the starting line, then the total distance covered by it would be

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a dragster's top acceleration is 60 meters/second². If it accelerates for 3 seconds from the starting line, then we have to find out the total distance traveled by it,

top acceleration of the dragster = 60 meters/second²

time period to accelerate = 3 seconds

By using the second equation of motion,

s = ut + 1/2at²

s = 0 + 0.5×60×3²

s = 270 meters

Thus, the total distance covered by the dragster would be  270 meters

To learn more about acceleration from here, refer to the link;

brainly.com/question/2303856

#SPJ2

create an acrostic poem for the words "INERTIA"

Answers

Answer:

I- In all circumstances,

N- Never relenting to pressure.

E- Ever remaining constant and stable,

R- Resisting any form of association with other things,

T- This force will always be the same.

I- In whatever manner or pattern the force may come from.

A- Always true to the core, never changing, never relenting.

Explanation:

An acrostic poem is the formation of a poem/ poetry by using certain letters of the word to form a poem. This means that certain letters of any given word will be used as the basis for the construction and formation of a poem.

The acrostic poem for the word "INERTIA" is as follows-

I- In all circumstances,

N- Never relenting to pressure.

E- Ever remaining constant and stable,

R- Resisting any form of association with other things,

T- This force will always be the same.

I- In whatever manner or pattern the force may come from.

A- Always true to the core, never changing, never relenting.

I- In all circumstances,

N- Never relenting to pressure.

E- Ever remaining constant and stable,

R- Resisting any form of association with other things,

T- This force will always be the same.

I- In whatever manner or pattern the force may come from.

A- Always true to the core, never changing, never relenting.

What is an inertia?

The inertia of any object is defined as when any object is at rest then it will be always at rest until and unless the external force is not applied on it. Also, if it is in motion, it will always in the motion until and unless an external force is not applied on it to stop it.

An acrostic poem is the formation of a poem/ poetry by using certain letters of the word to form a poem. This means that certain letters of any given word will be used as the basis for the construction and formation of a poem.

The acrostic poem for the word “INERTIA” is as follows-

I- In all circumstances,

N- Never relenting to pressure.

E- Ever remaining constant and stable,

R- Resisting any form of association with other things,

T- This force will always be the same.

I- In whatever manner or pattern the force may come from.

A- Always true to the core, never changing, never relenting.

To know more about inertia, follow

https://brainly.com/question/1140505

What is an application of this model?
А
It highlights the artistic abilities of scientists.
B
It illustrates the basic structure of an atom. .
С
It shows how the parts of an atom interact.
D
It demonstrates how atoms form and function.

Answers

Lol sorry i judt want points

A car drives off a cliff at 30 m/s. The car lands 100 meters
from the base of the cliff. How tall is the cliff?

Answers

Answer:

Height of the cliff, H = 54.66 m

Explanation:

Given that,

Speed of the car, u = 30 m/s

The car lands 100 m from the base of the cliff.

We need to find the height of the cliff.

First we will find the time time needed for the car to reach the bottom of the cliff. It can be calculated as :

[tex]t=\dfrac{h}{v}\\\\t=\dfrac{100}{30}\\\\t=3.34\ s[/tex]

Let H is the height of the cliff. Using second equation of motion as follows

[tex]H=v_yt+\dfrac{1}{2}gt^2\\\\H=\dfrac{1}{2}gt^2\\\\H=\dfrac{1}{2}\times 9.8\times (3.34)^2\\\\H=54.66\ m[/tex]

So, the cliff is 54.66 m tall.

Match the number in this mathematical expression with the number significant digits they have .



18.34cm +9.02603cm -20.2cm +150cm

1. 150cm. a.4

2. 9.02603 cm. b.6

3. 18.34cm. c. 2

4. 20.2cm. d.3

Answers

Answer:

Please check your question well. Otherwise I think there's no matching.

Free Fall Problems
1.)
A pencil is dropped from the top of a very tall bridge and hits the ground 3.2 s later
A) With what velocity did the pencil hit the river below?
B.)
How far did the pencil fall?||

Answers

Answer:

50.2m

Explanation:

Given parameters:

Time taken for the pencil to hit the ground  = 3.2s

Unknown:

Final velocity = ?

height of fall  = ?

Solution:

To solve this problem, we should apply appropriate motion equations;

A.

        V = U  + gt

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

t is the time taken

  Insert the parameters and solve;

        V = 0 + 9.8 x 3.2  = 31.36m/s

B.

             h = ut  + [tex]\frac{1}{2}[/tex]gt²

   h is the height of fall

 

 Insert the parameters and solve;

           h =  [tex]\frac{1}{2}[/tex] x 9.8 x 3.2²  = 50.2m

A swimmer can travel 2.30 m/s in still water. The swimmer heads directly west across a steam whose current is 1.20 m/s n. What is his velocity relative to the ground

Answers

Answer:

velocity relative to the ground = 2.54 m/s

Explanation:

given data

still water Vx = 2.30 m/s

across a steam Vy = 1.20 m/s

solution

we get here first velocity relative to the ground is express as

velocity = [tex]\sqrt{Vx^2+Vy^2}[/tex]      ...............1

put here value and we get

velocity  = [tex]\sqrt{2.3^2+1.20^2}[/tex]

velocity = 2.54 m/s

two asteroids crashed. The crash caused both asteroids to change speed. Scientists want to use the change in speed and motion to figure out which asteroid has more mass. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the asteroids changed their motion.

Asteroid 1 has more mass than Asteroid 2.
Asteroid 1 and Asteroid 2 are the same mass.
Asteroid 1 has less mass than Asteroid 2.

Answers

Answer:

The answer is asteroid 1 has more mass

Explanation:

If the initial speed of both asteroids before the collision is equal, then the asteroid with more mass has more momentum before collision while the asteroid with lesser mass has greater momentum after the collision.

What is law of conservation of linear momentum?

According to the principle of conservation of linear momentum, the sum of the momentum before the collision must equal the sum of the momentum after the collision.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where m₁ and m₂ is the mass of the objects that collided, u₁ and u₂ is their initial speed and v₁ & v₂ is their final speed.

The linear momentum is the product of the mass of the object times the velocity of that object. Conservation of momentum is a property exhibited by any object where the total amount of momentum never changes.

The principle of conservation of linear momentum states that if two objects collide with each other, then the total momentum before and after the collision will remain the same if there will be no external force acting on the colliding objects.

Therefore, the linear momentum of both asteroids will be conserved as no external force acting on them. The asteroid with more mass has more momentum before collision while the asteroid with lesser mass has greater momentum after the collision so that total momentum remains conserved.

Learn more about the law of conservation of linear momentum, here:

https://brainly.com/question/17140635

#SPJ5

A baby drops a ball from her hand resting on the serving tray of her high chair. at the
exact same time, she knocks another ball from the same tray at the exact same height.
Which of the following statement or statements is / are true?
1. Both balls strike the ground at the same time.
II. The dropped ball reaches the ground first.
III. The knocked ball reaches the ground first.
IV. Both balls strike the ground at the same speed
O I and IV
O ll only
I only
O Ill only

Answers

Answer:

Both balls strike the ground at the same time, and both balls strike the ground at the same speed.

Explanation:

A red ball rolls for 6 meters across a sticky level surface and slows down to a stop. the ball was rolling at 36 meters per second when it began to roll across the sticky surface. find the acceleration, velocity final, the velocity initial, the velocity average, the distance the ball rolled, and the time of the balls roll across the sticky surface

Answers

Answer:

The initial velocity of the ball is given as 36 m/s

The final velocity of the ball is given as 0 m/s

The distance the ball rolled is given as 6 meters

The acceleration is 108 m/s²

The time the ball rolls across the sticky surface is 1/3 seconds

The average velocity is 18 m/s

Explanation:

The initial velocity of the ball, u = 36 m/s

The final velocity of the ball, v = 0 m/s

The distance the ball rolled, s = 6 meters

The acceleration, a, is given by;

v² = u² - 2×a×s, where v = 0

u² = 2 × a × s

a = u²/(2 × s) =  36²/(2 × 6) = 108 m/s²

The time the ball rolls across the sticky surface is given by the following equation;

v = u - a×t, v = 0

∴ u = a×t

t = u/a = 36/108 = 1/3 seconds

The time the ball rolls across the sticky surface = 1/3 seconds

The average velocity = Distance/time = 6/(1/3) = 18 m/s

The average velocity = 18 m/s.

erica wants to attend a a public four- year unviersity

Answers

Answer:

go girl

Explanation:

i'm feom public uni too

1. How does Newton’s first law prove that planets are moving in a circular pattern?
2. How does Newton’s third law prove that Earth is moving and the Sun is not?
3.Using Newton’s law of gravitation and the third law of motion, argue qualitatively how the ratio between the orbital period and the radius of a planet do or do not change, based upon Kepler’s third law of motion.

Answers

Answer:

Explanation:

Newton's First Law of Motion states that a body in motion keeps the same motion unless acted upon by an outside force. Likewise, if it is not moving, it remains that way unless a force acts on it.

DUE TODAY HELP ME WRITE A ESAAY NOW

I WILL MARK YOU AS BRAINLEST
it is about science
like how a scientists work
or how to be a scientist

essay is 500 words

Answers

Answer:

Explanation:

Try adding what process they have to go through to become a scientists the try adding some things that you think they work on in the labs.

Other Questions
During a sale, a dress is marked down from a selling price of $80 to a sale price of $64. What is the percent markdown? Which of the following was a positive accomplishment of the Coronado expedition? a. It led to the first European contact with the Pueblos. b. It explored from Mexico to Kansas. c. It led to the first Europeans to see the Grand Canyon. d. all of the above i hope whoever sees this has a good day how much beef would a sea captaintake on a 3 month voyage PLEASE HELP!!! Choose the correct word to complete the sentences. Noting _____ helps you find specific information. detail summary adjectives details courage introductory ideas subject nounsThanks A plains environment is sub-humid [dry]....The Great Plains offered such a contrast to the [eastern] regions .. The ways of travel, the weapons, the method of tilling the soil, the plows, and other agricultural implements, and even the laws themselves were modified - Walter Prescott WebbIn what ways did settlers have to adapt to deal with the physical features of the Great Plains?They had to develop new methods for farming in wet regions.They changed the farming practices they used in the East only slightly.They had to develop new methods of farming in dry regions.The settlers were unable to farm in the Great Plains. The polynomial below is a perfect square trinomial of the form A^2 - 2AB+ B^216X^2- 36x9True or False? diferencia entre sinnimo lxico y contextual A uniform plank 8.00 m in length with mass 30.0 kg is supported at two points located 1.00 m and 5.00 m, respectively, from the left-hand end. What is the maximum additional mass you could place on the right-hand end of the plank and have the plank still be at rest Romes focus on Military helped grow the Roman empire True False who here is doing vlacs? how are the Missouri compromise, the compromise of 1850 and the Kansas Nebraska act similar I need an answer! Madison Middle School sells rolls of wrapping paper to raise money for student activities. The school gets half of all sales, minus $300 for prizes to top sellers. What is the total sales if the school earns $5000? Is this written in first second or third person ? what is 55% of 300? What specific object do you think of when you hear "an object in motion"?(Example: I think of a soccer ball on a soccer field!) The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. cylinder 50 liters contains oxygen at a temperature of 200 K and a pressure of 6 atmospheres , what would the gas pressure be if the volume was changed to 25 liters and the temperature raised to 250 K? Jocelyn is going to invest in an account paying an interest rate of 2.3% compoundedcontinuously. How much would Jocelyn need to invest, to the nearest hundreddollars, for the value of the account to reach $550 in 15 years? 7.We the People of the United States, in Order to form a more perfect Union,establish Justice, insure domestic Tranquility, provide for the commondefence, promote the general Welfare, and secure the Blessings of Libertyto ourselves and our Posterity, do ordain and establish this Constitution forthe United States of America.U.S. ConstitutionWhich of the following excerpts from the Constitution supports the intention ofthe phrase to form a more perfect Union in the Preamble?A From Article I: The House of Representatives shall choose their Speakerand other Officers; and shall have the sole Power of Impeachment.B From Article IV: New States may be admitted by the Congress into this Union.C From Article VI: All Debts contracted and Engagements entered into,before the Adoption of this Constitution, shall be as valid against theUnited States under this Constitution, as under the Confederation.D From Article VII: The Ratification of the Conventions of nine States, shallbe sufficient for the Establishment of this Constitution between the Statesso ratifying the Same. if JK+LM=NP+LM then JK=NP what property is this