In the figures, area of triangle ABE is 25 cm2
and area of triangle CED is 30 cm2. Find the
area of triangle BEC and parallelogram ABCD.​

SAS postulate is the postulate that proves the given triangles are congruent.

What is Triangle ?

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees.

Given,

A cube with congruent square faces.

Step 1: Create a labelled diagram by outlining the triangles and.

The diagram illustrating the triangles ΔABF and ΔBCG

See the attachment

Step 2 - Step description.

As an example, a cube has faces that are congruent squares.

Therefore, AB = BC = BF= CG and ΔABF = ΔBCG =90°

That implies,  AB ≅ BC ≅ BF≅CG and ΔABF ≅ ΔBCG =90°

Step 3 - Description of step.

In the triangles ΔABF and ΔBCG, it can be seen that AB = BC , ΔABF =ΔBCG = 90° and BF=CG

Using the SAS postulate, the triangles ΔABF and ΔBCG are thus congruent triangles.

SAS postulate is the postulate that proves the given triangles are congruent

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An equivalent function of the form r(t)=ab^t is r(t) = 13512(0.563)^{t}.

In the given question, the value of a car that depreciates over time can be modeled by the function r(t)=24000(0.75)^{2t+2}.

We have to write an equivalent function of the form r(t)=ab^t.

An exponential function has the formula r(t) = ab^t, where r and t are variables, a represents the value of r(t) at the beginning, and b represents the multiplier.

If we assume that r(t) represents the car's value after t years, then the exponential decay is given by:

The function is:

r(t)=24000(0.75)^{2t+2}

taking the 2 common in the power

r(t) = 24000(0.75)^2{t+1}

r(t) = 24000(0.563)^{t+1}

r(t) = 24000(0.563)^{t}∙(0.563)

r(t) = 13512(0.563)^{t}

Hence, an equivalent function of the form r(t)=ab^t is r(t) = 13512(0.563)^{t}.

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Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 26 and h = 5 , then

A = \(\frac{1}{2}\) × 26 × 5 = 13 × 5 = 65 ft² → B

Answer:

(-2,9)

Step-by-step explanation:

Solve for the first variable in one of the rquations,then sumstutute the result in the other equation

solve the system of equtions

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

the answer is C

I took the test

Answer:

C: Soro should have reversed the inequality symbol when using the division property of inequality.

Step-by-step explanation:

Got correct on EDG

Pls mark me brainliest

Answer:

D

Step-by-step explanation:

The difference between 3 months is 51 rabbits.

221-51=170-51=119

so for the starting number of bunnies, just add 51 to 221

221+51= 272

272 is D

Answer:

272 (D)

Step-by-step explanation:

First, find the relations between the 3 numbers. Tee population goes decreasing by 51 rabbits. Now, they are asking for the population during the first month. So now you have to go backward. The months are going by 3 so If you add one more column, it would go back to the first month, which is what we need. So you have to add 51 since you are going backwards instead of decreasing. 221 plus 51 is 272 which is your answer.

Hope this helps :)

The tension in the cable balances the weight in the vertical direction, the tension in the cable is also equal to 27,164.8 N.

Assuming that the wrecking ball is stationary and in equilibrium, the tension in each cable must be equal and opposite to the weight of the wrecking ball. We can use the force diagram to solve for the tension in the cable.

The force diagram for the wrecking ball is shown below:

     T

      |

      |

<-----|----->

      |

      | Fg

     \/

      m

where T is the tension in the cable, Fg is the weight of the wrecking ball, and the angle between the cable and the vertical is 40 degrees.

The weight of the wrecking ball is given by Fg = m * g, where g is the acceleration due to gravity, which is approximately \(9.81 m/s^2\).

Therefore,\(Fg = 3620 kg * 9.81 m/s^2 = 35,499.2 N\)

Since the tension in the cable is equal and opposite to the weight of the wrecking ball, the tension in the cable is also 35,499.2 N.

To find the tension in the cable that makes an angle of 40 degrees with the vertical, we need to resolve the weight vector into its horizontal and vertical components. The weight vector makes an angle of 50 degrees with the horizontal, which is equal to 90 degrees (vertical) minus the cable angle of 40 degrees.

The vertical component of the weight is \(Fg * sin(50 degrees) = 35,499.2\)N * sin(50 degrees) = 27,164.8 N.

Since the tension in the cable balances the weight in the vertical direction, the tension in the cable is also equal to 27,164.8 N.

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a) If $9,000 is invested at 8% interest compounded annually, after 1 year, the future value will be $9,720.

b) If $9,000 is invested at 8% interest compounded annually, after 2 years, the future value will be $10,497.60.

We can use an online finance calculator to determine the future value.

The future value represents the present investment compounded at an interest rate into the future.

N (# of periods) = 1 year

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = 9,720.00

Total Interest = $720.00

N (# of periods) = 2 years

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $10,497.60

Total Interest = $1,497.60

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C can finish the work in 5 days, working alone.

Let C alone take x days to complete the work.

The following points should be kept in mind when approaching the solution of this problem :

Step 1: Find the work done by A alone in 1 day and that done by B alone in 1 day.

Step 2: Use the work done by A alone in 1 day and that done by B alone in 1 day to find the work done by all three A, B, and C together in 1 day.

Step 3: Use the work done by all three A, B, and C together in 1 day to find the number of days it takes for C to complete the job alone.

Now let's begin:

Step 1: Let A alone take 10 days to complete the job.

So, A alone can do the job in 1 day = 1/10.  

Let B alone take 20 days to complete the job.

So, B alone can do the job in 1 day = 1/20.

Step 2: Now we can find the work done by A, B, and C together in 1 day. We know that they finish the job in 4 days, so the total work done = 1/4.

The work done by A alone in 1 day = 1/10.

The work done by B alone in 1 day = 1/20.

Let C alone do the job in 1 day = 1/x.

Total work done in 1 day by A, B, and C = 1/10 + 1/20 + 1/x = 2/20 + 1/x = 1/4.

We can now simplify the equation: 1/x = 1/4 - 2/20 = 1/5.

x = 5

Therefore, C alone can do the work in 5 days, working alone.

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Answer:

100 oxygen molecules simple math

Answer:

D

Step-by-step explanation:

\(\sqrt{x}\) only takes positive inputs and only outputs positive integers

Answer:

Neither

Step-by-step explanation:

None of them have the same angles as triange ABC.

Answer:

No

Step-by-step explanation:

The time taken by the Ne to come out of the container will be 26.83 hours

Here it is given in the question that it takes 12 hours for half of the He in a container to leak out If the same container is refilled with Ne then time taken by the Ne gas to leak will be calculated from the formula

\(\dfrac{V_{He}}{t_{He}}\times \dfrac{t_{Ne}}{V_{Ne}}=\sqrt\dfrac{M_{Ne}}{M_{He}}\)

Since the volume of both the gases will be same so

\(V_{He}=V_{Ne}\)

\(\dfrac{t_{Ne}}{t_{He}}=\sqrt5\)

\(t_{Ne}=12\times \sqrt5\)

\(t_{Ne}=12\times 2.236\)

\(t_{Ne}=26.83\ hours\)

Hence the time taken by the Ne to come out of the container will be 26.83 hours

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First let us know about Polynomial –

Types of polynomials based on the degree–

\(\qquad\) ☀️ Constant polynomial :-

Example : 6 (6x⁰ : degree of x : 0)

\(\qquad\)☀️ Quadratic polynomial :-

Example : 3x² + 7x + 6 (3x² : degree of x : 2)

\(\qquad\)☀️ Cubic polynomial :-

Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)

\(\qquad\)\( \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}\)

\(\qquad\)\( \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)\)

\(\qquad\)\( \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15\)

\(\qquad\)\(\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}\)

\(\qquad\)\(\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}\)

\(\qquad\)\(\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)\)

\(\qquad\)\( \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9\)

\(\qquad\)\(\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}\)

1) The degree of the polynomial is 3.

2) The degree of the polynomial is 3.

Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

Answer: Slope:  1/ 2   and y-intercept:  ( 0 , 2 )

Step-by-step explanation:Graph the line using the slope and y-intercept, or two points.

Slope:  1/ 2

y-intercept:  ( 0 , 2 )

x          y

− 4       0

0         2

The correct option is A. f(x) = x - 4 y g(x) = x + 4. After answering the presented question, we can conclude that since f(g(x)) = x and g(f(x)) = x, we can conclude that f(x) and g(x) are inverse functions of each other.

In mathematics, a function appears to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y. To determine if two functions are inverses of each other, we need to check if the composition of the two functions results in the identity function.

Since f(g(x)) = x and g(f(x)) = x, we can conclude that f(x) and g(x) are inverse functions of each other.

\(f(x)=3x-5\)

\(g(x)=(x+5)/3\)

\(f(g)(x))=f((x+5)/3)=3((x+5/3)-5=x+10-5=x+5\)

\(g(f(x))=g(3x-5)=((3x-5)+5)/3=x\)

Since f(g(x)) = x and g(f(x)) = x, we can conclude that f(x) and g(x) are inverse functions.

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Answer:

Each card will have a value of $15 when they equal after 600 days which also is 20 30-day periods.

Step-by-step explanation:

Card1: \(85 - \frac{3.50}{30} x\)

Card2: \(75 - \frac{3}{30} x\)

x is number of days

\(85 - \frac{3.50}{30} x = 75 - \frac{3}{30} x\)

2550 - 3.50x = 2250 - 3x

2550 - 0.50x = 2250

-0.50x = -300

x = 600 days

Card1: \(85 - \frac{3.50}{30} (600)\)

         85 - 70 = 15 dollars

Card2: \(75 - \frac{3}{30} (600)\)

         75 - 60 = 15 dollars

The value of each card will be when they have equal value is $15.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now, Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 85 if it is not used for x periods, then the amount that will be lost is

85 - 3.50 x---------------------(1)

For the gift card $ 75 if it is not used for x periods, then the amount that will be lost is

75 - 3x---------------------- (2)

Now when both the amount lost is equal

85 - 3.50 x = 75 - 3x

solving the equation, we get

or, 3.50 x - 3x = 85 -75

or, 0.50 x = 10

or,  x = 20

Thus the value of gift cards will be equal for 20 ,30 day periods.

Now,the value of each card be when they have equal​ value

The two cards  will have equal value after 20, 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

85 - 3.50 x = 75 - 3x

substituting  x = 20, we get

85 - 3.50*20 = 75 - 3*20

85 - 70  = 75 - 60

15  = 15

So, when they have equal​ value, the value of each card will be $15.

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Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

Provided in the question, total number of people that can be accommodated in the theatre are 471.

Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.

\(1) \: p + 254 < 471\)

Or, they can be equal to the number of people.

\(2) \: p + 254 = 471\)

Combining both the inequations, We get

\( \boxed{ p + 254 \leqslant 471}\)

So, the correct option is Option D

━━━━━━━━━━━━━━━━━━━━

A) Ensure that the set only contains positive powers of 4. B) the number divisible by either 7 or 8. C) the number divisible by both 7 and 8. D) the sum of the two integers be 100. E) the number must be less than 100.

(a) The set of all positive integer powers of 4 can be described using set builder notation as {4^n | n is a positive integer}.
In set builder notation, we use a condition or rule to define the elements of a set. In this case, we want to describe the set of all positive integer powers of 4.

We use the variable "n" to represent any positive integer, and the notation "4^n" represents the value of 4 raised to the power of n. By using the condition "n is a positive integer", we ensure that the set only contains positive powers of 4.
(b) The set of all positive multiples of 7 and 8 can be described using set builder notation as {x | x is a positive multiple of 7 or x is a positive multiple of 8}.
In set builder notation, we use conditions or rules to define the elements of a set. In this case, we want to describe the set of all positive multiples of 7 and 8.

We use the variable "x" to represent any positive number, and the conditions "x is a positive multiple of 7" and "x is a positive multiple of 8" specify that the number must be divisible by either 7 or 8 (or both).
(c) The set of all positive multiples of 7 and 8 can be described using set builder notation as {x | x is a positive multiple of 7 and x is a positive multiple of 8}.
In set builder notation, we use conditions or rules to define the elements of a set. In this case, we want to describe the set of all positive multiples of both 7 and 8.

We use the variable "x" to represent any positive number, and the conditions "x is a positive multiple of 7" and "x is a positive multiple of 8" specify that the number must be divisible by both 7 and 8.
(d) The set of all pairs of integers that sum to 100 can be described using set builder notation as {(x, y) | x and y are integers and x + y = 100}.
In set builder notation, we use conditions or rules to define the elements of a set.

In this case, we want to describe the set of all pairs of integers that sum to 100. We use the variables "x" and "y" to represent any integers, and the condition "x + y = 100" specifies that the sum of the two integers must be 100.
(e) The set of all real numbers whose square is less than 100 can be described using set builder notation as {x | x is a real number and x² < 100}.
In set builder notation, we use conditions or rules to define the elements of a set. In this case, we want to describe the set of all real numbers whose square is less than 100.

We use the variable "x" to represent any real number, and the condition "x² < 100" specifies that the square of the number must be less than 100.

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Answer:

d:1

Step-by-step explanation:

the answers will always be negative and the other side will always be positive

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

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