pls help asap geometry

The set representing the ordered numbers is given as follows:

0.45, 52%, 10/11, 31.

The numbers for this problem are given as follows:

For the three numbers with an integer part of zero, we order them according to the decimal part, hence:

0.45, 52%, 10/11.

31 has an integer part of 31 and is greater than the other numbers, hence the ordered data-set is given as follows:

0.45, 52%, 10/11, 31.

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The equation y < - 4 · x - 1 represents the inequality seen in the figure.

According to analytic geometry, we can derive the equation of a line from the knowledge of two points along the line. In this problem we must determine an inequality of the form:

y < m · x - b

m = Δx / Δb

Where:

We know that points (x, y) = (- 1, 3) and (x, y) = (0, - 1) are points of the line. Now we proceed to determine the equation of the line:

m = (- 1 - 3) / [0 - (- 1)]

m = - 4

b = - 1

y < - 4 · x - 1

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On solving the provided question we can say that the equations are  y = 3x - 6 and y = -2x + 8

A mathematical equatiοn is a fοrmula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the twο sentences οn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbοl, fοr instance, 2x – 4 = 2.

the equations are

y = 3x-6

y = -2x+8

3x - 6 = -2x+8

5x -6 = 8

5x = 14

x = 14/5

Now solve for y:

y = 3(14/5) - 6

y = 42/5 - 6

y=42/5 - 30/5

y = 12/5

The position 12/5 is where these two lines cοnverge. The triangle created by these two lines and the x-axis has a height equal to this.

So that we can identify the triangle's base, let's lοcate the roots of these equations (where they contact the x-axis).

Put a 0 in both equations.

(I) 0 = 3x - 6  

6 = 3x

x = 2  

Set the second equation equal to 0.

(II)  y = -2x+8

2x = 8

x = 8/2

x = 4

The triangle has a base between the numbers (2, 0) and (4, 0), giving it a length of two units.

The triangle has a height of 12/5 units.

Area of a Triangle:

A = 1/2bh

A = (1/2) · (2) · (12/5)

A = 12/5

The region between the x-axis that is enclosed by the lines y = 3x - 6 and y = -2x + 8 has a 12/5 unit area.

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Answer:

In Bag A, the ratio of red counters to yellow counters is 1 : 4. (ii) The number of counters in the two bags is the same.

Step-by-step explanation:

If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.

However, the frog slips back 1 foot while resting for an hour, so the frog would only have covered 5 feet of the well after each hour of climbing. The frog would need to climb for a total of

40/5 = 8 hours

to reach the top of the well. Additionally, the frog would need to take 8 hours of rest to make up for the slipping back.

So the total time it would take the frog to get out of the well would be 8 hours + 8 hours = 16 hours.

If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.

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If a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. The outer perimeter of the no-slip surface around the rectangular swimming pool is 78 feet.

The key idea in this problem is to recognize that the no-slip surface around the pool consists of a rectangular strip of uniform width that runs parallel to the edges of the pool. To find the outer perimeter of this strip, we need to add up the lengths of all four sides of the rectangle formed by the outermost edges of the no-slip surface.

Let's start by finding the length of the no-slip surface that runs along the length of the pool. Since the pool is 12 feet long and the no-slip surface extends 3 feet beyond each end of the pool, the total length of the no-slip surface is:

12 + 2(3) = 18 feet

The "2(3)" term in this equation represents the 3-foot-wide extension on each end of the pool. Next, we need to find the length of the no-slip surface that runs along the width of the pool. Since the pool is 15 feet wide and the no-slip surface extends 3 feet beyond each side of the pool, the total width of the no-slip surface is:

15 + 2(3) = 21 feet

Now we have the lengths of the two parallel sides of the rectangle formed by the outermost edges of the no-slip surface. To find the lengths of the other two sides, we simply add up the lengths of the corresponding sides of the pool.

Therefore, the length of the rectangle is 12 + 2(3) = 18 feet, and the width of the rectangle is 15 + 2(3) = 21 feet.

Finally, we can add up the lengths of all four sides of the rectangle to find the outer perimeter of the no-slip surface:

2(18) + 2(21) = 36 + 42 = 78 feet.

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The Original Price of helmet is $20.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The helmet Clare plans to buy is on sale for 20% less than the original price.

let the sale price be x.

So, the Original price is (x+5).

Also, Sales price = Original price - 20% of Original price

x= x+ 5 - 0.20(x+5)

x = x+ 5 - 0.20x - 1

0.20x = 4

x= 4/ 0.20

x= $20

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40%=

5

2

​

5

2

​

⋅40=16 cars at 8000 each =128,000 in sales

40−16=

​

24 cars at 9000 each

​

=216,000 in sales

Total sales: 128,000+216,000=344,000

Total expense: 6500⋅40=260,000

Total profit: 344,000−260,000=84,000

Answer:

$84000

Step-by-step explanation:

40% of the cars would be 16 cars that are sold for $8000 each.

16×$8000=$128000

The remaining 60% of cars would be 24 cars to be sold at $9000 each.

24×$9000=$216000

The total profit = the sum - the amount he paid for all cars.

total profit = ($128000+$216000) - (40×$6500)

total profit = $344000 - $260000

total profit = $84000

In the simplest terms, the expression for the difference between (-9x-7) and (-4x+4) is -5x - 11.

To find the difference between (-9x-7) and (-4x+4), we can subtract the second expression from the first expression and get: (-9x - 7) - (-4x + 4)

Simplifying the double negative, we get: (-9x - 7) + (4x - 4)

Next, we can combine like terms: -9x + 4x - 7 - 4

Simplifying this expression further down, we get: -5x - 11

Therefore, the expression that represents the difference between (-9x-7) and (-4x+4) in simplest terms is -5x - 11.

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The required, 68.2 divided by 0.4 is equal to quotient 170.5, as per the given condition.

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

Here,
68.2 divided by 0.4 is given as,

To divide a decimal value by another decimal value, you can use the same process as dividing whole numbers, but you need to make sure that the decimal points are lined up correctly.

= 68.2 / 0.4

= 682/4
= 170.5

Therefore, 68.2 divided by 0.4 is equal to 170.5.

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a) The prior probability that the selected person is a male is 0.51

b) The probability that the selected subject is a male is 92.9%.

We start by using the given information that 51% of adults in Orange County are males. We can interpret this as the prior probability of selecting a male adult randomly, which we denote by P(M). Since we know that there are only two genders, the probability of selecting a female adult is simply 1 - P(M), which is 49%.

a) To find the prior probability that the selected person is a male, we simply use the information given to us. Thus, P(M) = 0.51 and P(F) = 0.49, where F denotes the event of selecting a female adult.

b) We are given new information that the selected survey subject was smoking a cigar. We denote the event of selecting a smoker by S. We are also given the conditional probabilities of cigar smoking given the gender of the adult. Specifically, P(S|M) = 0.095 and P(S|F) = 0.017, where the vertical bar denotes the conditional probability.

We want to find the probability that the selected subject is a male given that they were smoking a cigar, denoted by P(M|S). We can use Bayes' theorem to update our prior probability based on this new information:

P(M|S) = P(S|M) x P(M) / P(S)

To find P(S), we can use the law of total probability, which states that the probability of an event can be obtained by summing over all possible ways it can occur. Thus,

P(S) = P(S|M) x P(M) + P(S|F) x P(F)

We can substitute the values given to us to find that:

P(S) = 0.095 x 0.51 + 0.017 x 0.49

P(S) = 0.05212

Using this value, we can now calculate the probability that the selected subject is a male given that they were smoking a cigar:

P(M|S) = P(S|M) * P(M) / P(S)

P(M|S) = 0.095 * 0.51 / 0.05212

P(M|S) = 0.929

This means that given the new information that the selected subject was smoking a cigar, the probability that they are a male is 92.9%.

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Complete question:

In Orange County, 51% of the adults are males. (It doesn't take too much advanced mathematics to deduce that the other 49% are females.) One adult is randomly selected for a survey involving credit card usage.

a) Find the prior probability that the selected person is a male.

b) It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars (based on data from the Substance Abuse and Mental Health Services Administration).

Use this additional information to find the probability that the selected subject is a male.

Answer:

4 more laps to reach the goal of 14.4 km.

Step-by-step explanation:

First, let's find the total distance covered so far: 720 m x 16 laps = 11,520 m.

Next, let's convert the goal distance to meters: 14.4 km x 1000 m/km = 14,400 m.

Finally, let's subtract the total distance covered from the goal distance to find the remaining distance: 14,400 m - 11,520 m = 2,880 m.

Since a lap is 720 m long, the remaining distance can be divided by 720 m to find the number of laps left: 2,880 m ÷ 720 m = 4 laps.

Therefore, the runner needs to run 4 more laps to reach the goal of 14.4 km.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

Hence, it is proven that PQRS is a parallelogram

Quadrilateral PQRS formed by joining the midpoints of quadrilateral ABCD is a parallelogram. (see attached image)

Let A (x1, y1), B(x2, y2), C (x3, y3) & D (x4,y4) be the coordinates of A, B, C & D respectively. Draw the line BD. (see attached image)

Since the midpoint divides a side into equal parts, AP=PB and the same will apply to all sides.

According to the midpoint theorem, SR = BD/2

Same as in triangle ABD, SP is parallel to BD, and SP =BD/2

From the above two equations SR is parallel to SP and SR=SP.

As one pair of opposite sides are equal in length and parallel to each other, the resultant figure by joining the midpoints of a quadrilateral become a parallelogram.

Draw diagonal BD.

BD is the diagonal of the quadrilateral which forms two triangles ABD and BCD. Consider the triangle BCD. BD is parallel to QR.

Hence PQRS is a parallelogram

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Solve the following problem below.

1. Midpoints in a Quadrilateral

Draw a quadrilateral ABCD. Try to draw your quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel.

Let P, Q, R, and S be the midpoints of sides AB, BC, CD, and DA, respectively. Use a ruler to locate these points as precisely as you can, and join them to form a new quadrilateral PQRS. What do you notice about the quadrilateral PQRS?

Suppose your quadrilateral ABCD lies in the coordinate plane. Let (x1,y1) be the coordinates of vertex A, (x2,y2) the coordinates of B, (x3,y3) the coordinates of C, and (x4,y4) the coordinates of D. Use coordinates to prove the observation you made in part (a).

The value of x in the triangle is equal to: A. 21.

In Mathematics, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the sides are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side).

Note: x is the side opposite to the 60° angle.

The side opposite to the 60° angle, x = 7√3 × √3

The side opposite to the 60° angle, x = 7 × 3

The side opposite to the 60° angle, x = 21 units.

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Answer:

Cos A: [tex]\frac{15}{17}[/tex]

Tan A: [tex]\frac{8}{15}[/tex]

Sin C: [tex]\frac{8}{17}[/tex]

How I did it:

Cos A: [tex]\frac{Base}{Hypotenuse}[/tex] This is the basic " fraction "

Or in similar terms: = [tex]\frac{ab}{bc}[/tex]

Cos A = [tex]\frac{15}{17}[/tex]

Tan A = [tex]\frac{Perpendicular}{Base}[/tex]

Similar terms once again = [tex]\frac{ac}{ab}[/tex]

Tan A = [tex]\frac{8}{15}[/tex]

Sin A = [tex]\frac{Perpendicular}{Hypotnuse}[/tex]

Similar terms = [tex]\frac{ac}{bc}[/tex]

Since A = [tex]\frac{8}{17}[/tex]

Thus your answers are:

Cos A = [tex]\frac{15}{17}[/tex]

Tan A = [tex]\frac{8}{15}[/tex]

Sin A = [tex]\frac{8}{17}[/tex]

Answer: 7/10

Step-by-step explanation:

multiply 4/5 by 7/8=28/40 or 7/10

To convert 640 L to cL, you would move the decimal point 4 places to the right. So the answer is 640 L = 64,000 cL.

Converting units is a common task in science, engineering, and everyday life. The conversion factor between liters (L) and centiliters (cL) is 1 L = 100 cL. To convert a quantity from liters to centiliters, you can multiply the number of liters by 100 or move the decimal point two places to the right. In this case, we have 640 L. To convert this to centiliters, we need to multiply 640 by 100, or move the decimal point two places to the right. Since there are two digits after the decimal point in 640, we can simply move the decimal point four places to the right to get 64,000 cL. Therefore, 640 L is equal to 64,000 cL.

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The indirect speech version of the given sentence would be:

She said that her mother was cooking food.

Indirect speech (also known as reported speech) is a way of expressing what someone else said, without using their exact words. In indirect speech, we usually report the statement or question using a reporting verb like "say", "tell", "ask", or "explain", followed by a conjunction such as "that". We also need to change the tense and sometimes the pronouns to reflect the new context.

Indirect speech is often used in writing and speaking to convey someone else's message, opinion or idea. It helps us to paraphrase or summarize what someone else said, without quoting them directly. It is important to learn how to use indirect speech correctly, as it is a common feature of both formal and informal communication.

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The length x of the right triangle is 8.66 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of the right triangle can be found using trigonometric ratios as follows:

Hence,

tan 60° = opposite / adjacent

where

opposite side = x

adjacent side = 5

Therefore,

tan 60° =  x  / 5

cross multiply

x = 5 tan 60°

x = 5 × 1.73205080757

x = 8.66025403784

x = 8.66 units

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The value of x and y in the quadratic and linear equation are (0.37, -137) and (-3.26 , -6.74) respectively

In the problem given;

2x² + 4x - y = -3 ..eq(i)

-2x + y = -4 ..eq(ii)

From equ(ii)

Using the linear equation;

y = 2x - 4 ...eq(iii)

Put eq(iii) into eq(i)

2x² + 4x - (2x - 4) = -3

2x² + 4x - 2x - 4 = -3

2x² + 2x - 4 = -3

Rearrange the equation;

2x² + 2x - 4 + 3 = 0

2x² + 2x - 1 = 0

Solving the quadratic equation;

x = 0.37 or -1.37

Put the value of x into eq(ii)

-2(0.37) + y = -4

y  = -3.26

or

-2(-1.37) + y = -4

y = -6.74

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Answer:

∠ B = 121°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

• opposite angles sum to 180°

∠ B and ∠ D are opposite angles , then

∠ B + 59° = 180° ( subtract 59° from both sides )

∠ B = 121°

Players A and B withdraw balls from the urn consecutively until a read ball is selected, the probability that player A selects the red ball is approximately 0.408.

To find the probability that player A selects the red ball, we can use the law of total probability and consider all the possible ways the game could end. A selects the red ball on the first draw. The probability of this is simply the proportion of red balls in the urn, which is 3/10.

A selects a black ball on the first draw, followed by B selecting a black ball on their turn, and so on, until A finally selects the red ball. The probability of this is:

(7/10) * (6/9) * (5/8) * ... * (1/4) * (3/7)

Notice that the probability of selecting a black ball decreases by one after each turn, since the total number of balls in the urn decreases by one and the number of black balls decreases by one.

The probability of selecting the red ball on the last turn (after all the black balls have been selected) is 3/3 = 1. We multiply all these probabilities together to get the total probability of this sequence of events.

A selects a black ball on the first draw, followed by B selecting a black ball on their turn, and so on, until B finally selects the red ball. The probability of this is:

(7/10) * (6/9) * (5/8) * ... * (2/4) * (3/6)

Notice that the probability of selecting a black ball decreases by one after each turn, just like in the previous case. However, the probability of B selecting the red ball on their turn is now 3/6, since there are only six balls left in the urn at this point. We multiply all these probabilities together to get the total probability of this sequence of events.

Adding up these three probabilities, we get:

3/10 + (7/10) * (6/9) * (5/8) * ... * (1/4) * (3/7) + (7/10) * (6/9) * (5/8) * ... * (2/4) * (3/6) ≈ 0.408

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On solving the provided question, we can say that Volume of cuboid - L X B X H=> volume = (x+6)*(x-2)*(x-1) => [tex]V = x^3 + 3x^2 - 16x + 12[/tex]

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

The dimensions are:

Length =(x + 6), Width = (x - 2) and Height = (x -1)

Volume of cuboid - L X B X H

volume = (x+6)*(x-2)*(x-1)

[tex]V = (x+6)(x^2 - 3x +2)[/tex]

[tex]V = x^3 - 3x^2 + 2x + 6x^2 - 18x + 12[/tex]

[tex]V = x^3 + 3x^2 - 16x + 12[/tex]

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If so far the George's string is 44 inches long , then his string is not long enough , so he need to make it longer .

To find whether George's string is long enough, we first convert both measurements to same unit of measurement.

that means we convert length of the string in inches to feet by dividing it by 12 ; because  there are 12 inches in a feet  ;

⇒ (44 inches)/(12 inches/feet)  

⇒ 3.67 feet  ;

The George's string is currently 3.67 feet long and he needs a string that is 4 feet long  .

So , his current string is not long enough and he needs to make it longer. He needs to add another 0.33 feet to his string  .

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The given question is incomplete , the complete question i

George needs a string that is 4 feet long. So far his string is 44 inches. Is it long enough or does he need to make it longer ?

Answer:

42 mi²

Step-by-step explanation:

Break it up into 2 shapes, top and bottom, then add the areas together.

Area 1 (top rectangle) = 12 x 3 = 36

Area 2 (bottom rectangle) = 2 x 3 = 6

Total area = 36 + 6 = 42 mi²

Answer: no it does not

Step-by-step explanation: Because 1,007 squared is 1,014,049 and the sum of 911 squared is 829,921 and then 829 squared is 687,241 then add 829,921+687,241=1,517,162 when it should equal 1,014,049 which is the amount of 1,007 squared to make it a right triangle.

The solution is : no, it does not form a right triangle.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.

now, we get,

Because 1,007 squared is 1,014,049

and the sum of 911 squared is 829,921

and then 829 squared is 687,241

then add 829,921+687,241=1,517,162

when it should equal 1,014,049

which is the amount of 1,007 squared to make it a right triangle.

as we know that,

in right triangle,

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.

so, we get,

The solution is : no, it does not form a right triangle.

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The pair of functions f(x) and g(x) below that equals 0 as the limit as x goes to infinity of the quotient of f of x and g of x will be C. f(x) = ln(x); g(x) = ex

For the limit of the quotient of f(x) and g(x) to equal 0 as x approaches infinity, it is necessary for f(x) to grow more slowly than g(x).

Out of the options given, the only pair of functions where this is true is f(x) = ln(x) and g(x) = ex. As x approaches infinity, ex grows much faster than ln(x), so the limit of the quotient of these two functions as x approaches infinity is 0.

In conclusion, the correct option is C.

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Using the normal curve to estimate the following percentages. The answer that is closes to being correct is 39.4%. So, the correct answer is C.

Since the distribution is approximately normal, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages.

a. 10.6%: This corresponds to the area under the curve that is more than 2 standard deviations below the mean. Using the rule, we know that about 2.5% of the area under the curve is more than 2 standard deviations below the mean. So 10.6% is too high. The answer is not a.

b. 89.4%: This corresponds to the area under the curve that is less than one standard deviation above the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 89.4% is too high. The answer is not b.

c. 39.4%: This corresponds to the area under the curve that is within one standard deviation of the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 39.4% is the closest to being correct. The answer is c.

d. 78.8%: This corresponds to the area under the curve that is less than two standard deviations above the mean. Using the rule, we know that about 95% of the area under the curve is within two standard deviations of the mean. So 78.8% is too high. The answer is not d.

e. 68.27%: This corresponds to the area under the curve that is within one standard deviation of the mean. This is the same as c. So e is not the correct answer.

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The solution is, x= StartFraction t Over 4 + 2 EndFraction, is equivalent to 4 x = t + 2.

An equation can be stated  a  mathematical statement that is made up of two expressions connected by an equal sign.  In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

4 x = t + 2

or, x = (t + 2) /4

or, x = t/4 + 2/4

or, x = t/4 + 2

Hence, The solution is, x= StartFraction t Over 4 + 2 EndFraction, is equivalent to 4 x = t + 2.

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