I NEED HELP AND FAST

The equation that describe the number N bachelor's degrees awarded is N = 0.05t + 1.2 (a). The estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million (b).

The practical sentence is "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year." (c). The graph, see the attachment.

(a) To find the equation describing the number N of bachelor's degrees awarded t years after 2010, we can use the formula for a linear equation: N = mt + b, where m is the slope and b is the y-intercept.

We can find the slope by using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, the two points are (2010, 1.2 million) and (2020, 1.7 million).

The y-intercept is the value of N when t = 0, which is the number of bachelor's degrees awarded in 2010, or 1.2 million. So the equation is:

(b) To estimate the number of bachelor's degrees to be awarded in 2023, we can plug in the value of t = 2023 - 2010 = 13 into the equation:

So the estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million.

(c) A practical sentence expressing how the number of bachelor's degrees awarded changes yearly is: "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year."

(d) To graph the number of bachelor's degree line over the time period stated in (a), we can plot the two points (2010, 1.2) and (2020, 1.7) and draw a line through them.

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The number line is plotted on the graph below

A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.

If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions

It displays information as a series of data points called 'markers' connected by straight line segments

Given data ,

Let the number line be represented by graph A

Now , the points on the graph are

A = { 4 , -3 , 1 }

The opposites of the number points A is given by

A' = { -4 , 3 , -1 }

The values of the sets A and A' are plotted on the line plot graph

Hence , the line plot is solved

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The input values are all the values of the x-coordinates and the output values are all the values of the y-coordinate corresponding the x-value: (0, 3), (2, 2), (-1, 1).

An ordered pair (a, b) is a pair of objects in mathematics. Because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b, the order in which the items occur in the pair is important. The unordered pair a, b, on the other hand, equals the unordered pair b, a.

Ordered pairs are sometimes known as 2-tuples, or sequences of length 2 (or, in computer science, sometimes, lists). 2-dimensional vectors are occasionally used to refer to ordered pairs of scalars.

The input values are all the values of the x-coordinates and the output values are all the values of the y-coordinate corresponding the x-value.

Some of the input, output pair are:

(0, 3)

(2, 2)

(-1, 1)

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The required polynomial in standard form for the volume of the cylinder is [tex]$48\pi x^3 + 64\pi x^2 + 24\pi x + 4\pi$[/tex].

The formula for the volume of a cylinder is [tex]$V = \pi r^2 h$[/tex], where r is the radius and h is the height.

In this case, the radius is given as 4x + 1, and the height is given as 3x + 4. So we can substitute these values into the formula to get:

[tex]$$V = \pi(4x + 1)^2(3x + 4)$$[/tex]

Simplifying the expression inside the parentheses first, we have:

[tex]$$(4x + 1)^2 = (4x + 1)(4x + 1) = 16x^2 + 8x + 1$$[/tex]

Substituting this expression into the formula for V, we get:

[tex]$$V = \pi(16x^2 + 8x + 1)(3x + 4)$$[/tex]

Expanding the expression using the distributive property, we get:

[tex]$$V = \pi(48x^3 + 64x^2 + 24x + 4)$$[/tex]

Simplifying further, we get:

[tex]$$V = 48\pi x^3 + 64\pi x^2 + 24\pi x + 4\pi$$[/tex]

Therefore, the polynomial in standard form for the volume of the cylinder is [tex]$48\pi x^3 + 64\pi x^2 + 24\pi x + 4\pi$[/tex].

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An angle which is supplementary to ∠AGB is ∠BGD

Two angles that sum up to 180 degrees are referred to as supplementary angles. In other words, the sum of the measurements of two additional angles equals 180 degrees.

Angles A and B, for instance, are supplementary if angle A is 70 degrees and angle B is 110 degrees. This is because 70 + 110 = 180.

Given that,

The arrangement which has multiple rays,

And it is known that,

The sum of angles of supplementary angles are 180°

∠AGB & ∠BGD has the sum of 180°,

So it can be state that ∠BGD is supplementary to the angle ∠AGB

Therefore, the supplementary angle is ∠BGD

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The coefficient is 2 and, in the situation, it represents the number of meters that Kent walks per second.

In mathematics, the coefficient is a numerical or constant quantity or the multiplicative factor in an expression.

The coefficient multiplies its attached variable to determine a value in the algebraic expression.

For instance, from the equation describing the relationship between his distance (meters) and time (seconds) is d = 2t + 15, 2 is the coefficient of t.

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Answer:

$6236.56

Step-by-step explanation:

Compound Formula

[tex]A = P (1+\frac{r}{n} )^n^t\\[/tex]

I plugged in the numbers of P, r, and t.

n means the number of times the interest is applied per period. It is compounded monthly, and the time is given 3 years.

This means 12 months x 3 years = 36 months.

[tex]A = $5700(1+.03/36)^3^6^(^3^)[/tex]

[tex]A=6236.559672[/tex]

[tex]A=6236.56[/tex]

The three cοrrect statements fοr the given circle are:

1)The radius οf the circle is 3 units.

2)The centre οf the circle lies οn the x-axis.

3)The radius οf this circle is the same as the radius οf the circle whοse equatiοn is x² + y² = 9.

All pοints in a plane that are at a specific distance frοm a specific pοint, the centre, fοrm a circle. In οther wοrds, it is the curve that a mοving pοint in a plane draws tο keep its distance frοm a specific pοint cοnstant. Circle's basic equatiοn is represented by:

(x-h)² + (y-k)² = r²

where the radius is r and the circle's centre's cοοrdinates are (h,k). Hence, we can quickly determine the equatiοn οf a circle if we knοw its radius and centre cοοrdinates.

The equatiοn οf the circle is given as:

x² + y²– 2x – 8 = 0

This can be cοnverted tο the standard fοrm.

Fοr that, we add and subtract 1 in the abοve equatiοn.

x² + y²– 2x – 8 +1 - 1  = 0

Rearranging,

x² – 2x + 1 + y²– 8 -1 = 0

(x - 1)² + y² = 8+1 = 9

Sο the equatiοn οf the circle in the standard fοrm is:

(x - 1)² + y² = 9

Nοw we will lοοk intο the given statements.

1) The radius οf the circle is 3 units.

This is true because radius = √9 = 3 units.

2) The centre οf the circle lies οn the x-axis.

The centre οf the given circle is (1,0).

Sο it dοes lie οn the x-axis.

3) The centre οf the circle lies οn the y-axis.

The centre is (1,0).

Sο this is nοt true.

4)The standard fοrm οf the equatiοn is (x – 1)² + y² = 3.

This is false.

5)  The radius οf this circle is the same as the radius οf the circle whοse equatiοn is x² + y² = 9

This is true because bοth equatiοns have 9 οn the right side οf the equatiοn.

Therefοre the three cοrrect statements fοr the given circle are:

1)The radius οf the circle is 3 units.

2)The centre οf the circle lies οn the x-axis.

3)The radius οf this circle is the same as the radius οf the circle whοse equatiοn is x² + y² = 9.

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Answer:

-2

Step-by-step explanation:

[tex]m=\frac{4-(-8)}{-4-2} \\m=\frac{4+(+8)}{-4-2} \\m=\frac{12}{-6} \\m=\frac{2}{-1} \\m=-2[/tex]

The inequality for the number of sales Ken needs to make this week in dollars is: 4x + 55 > 115. Where x is the number of sales.

Inequalities are the mathematical term for the relationship between two values that are not equal. Not all people are created equal. We typically use the "not equal symbol ()" when two values are not equal. However, various inequalities are utilized to compare the values, whether they are less than or greater than.

To solve for x, we first need to isolate it on one side of the inequality. We can start by subtracting 55 from both sides:

4x > 60

Then, we can divide both sides by 4:

x > 15

Therefore, Ken needs to make more than 15 sales this week to earn more than $115.

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The surface area of a cylinder is approximately 240.33 square inches.

The formula for the surface area of a cylinder is A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder.

Given the 24-inch cylindrical tube and its base has a 3-inch diameter.

Here,

Radius r = 3/2 = 1.5 inches

Height h = 24 inches

To determine the surface area of the container, substitute the given values for r = 1.5 and h = 24:

A = 2π(1.5)² + 2π(1.5)(24)

A = 2π(2.25) + 72π

A = 4.5π + 72π

A = 76.5π

We can approximate π as 3.14, then

A ≈ 76.5× 3.14

Apply the multiplication operation, and we get

A = 240.33 square inches

Thus, the surface area of a cylinder is approximately 240.33 square inches.

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The principal is 50 and the rate of interest is 0.4.

The principal (P) and the rate of interest (R) can be calculated using the following equations:
P = (400*2)/(440 - 400)
R = (440 - 400)/(P*2)
Substituting the given values in the equations we get:
P = 2000/40 = 50
R = 40/100 = 0.4

To calculate the rate and principal of the sum of money, we can use the formula for simple interest: I = Prt, where I is the interest, P is the principal, r is the rate, and t is the time in years.
Given that the yearly interest for the first year is 400 and for the second year is 440, we can set up two equations:
400 = Prt
440 = Pr( t + 1)
Since the interest is for two consecutive years, the time in the first equation is t and the time in the second equation is t + 1.

We can rearrange the first equation to solve for P:
P = 400 / rt
Substituting this value of P into the second equation gives us:
440 = (400 / rt)( t + 1)
Simplifying and rearranging gives us:
440rt = 400t + 400
40rt = 400
rt = 10

Since we are looking for the rate and principal, we can substitute the value of rt back into the first equation:
400 = P(10)
P = 40
So the principal is 40 and the rate is 10 / t. To find the rate, we can substitute the value of P back into the first equation and solve for t:
400 = 40(10 / t)
t = 10
So the rate is 10 / 10 = 1.
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a. The variables are x (number of adult tickets sold) and y (number of children's tickets sold).

b. The system of equations are x + y = 140 and 20x + 10y = 2270.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

a. Variables are defined as -

Let x be the number of adult tickets sold.

Let y be the number of children's tickets sold.

b. System of equations is obtained as -

The total number of tickets sold is 140 -

x + y = 140

The total revenue earned is $2270 -

20x + 10y = 2270

Therefore, the variables and system of equations is obtained.

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The four different conic sections are the circle, ellipse, parabola, and hyperbola. They are called conic sections because they are formed by the intersection of a plane and a cone.

Circle: A circle is formed when the plane intersects the cone at an angle perpendicular to its axis. The circle has an eccentricity of 0, which means the distance between any point on the circle and its center is always the same.

Ellipse: An ellipse is formed when the plane intersects the cone at an angle that is not perpendicular to its axis. The ellipse has an eccentricity between 0 and 1, which means the distance between the two foci and any point on the ellipse is constant.

Parabola: A parabola is formed when the plane intersects the cone parallel to one of its sides. The parabola has an eccentricity of 1, which means it has a single focus point.

Hyperbola: A hyperbola is formed when the plane intersects the cone at an angle that is greater than the angle formed by the cone's side and its axis. The hyperbola has an eccentricity greater than 1, which means the distance between the two foci and any point on the hyperbola is constant.

In summary, the eccentricity of a conic section describes how stretched or elongated the shape is. A circle has an eccentricity of 0, an ellipse has an eccentricity between 0 and 1, a parabola has an eccentricity of 1, and a hyperbola has an eccentricity greater than 1.

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Answer:0.15 miles a minute

Step-by-step explanation:

Her pace is 6 minutes and 40 seconds a mile, she is going 0.15 miles per minute and will go 9 miles an hour

The values of the other trigonometric functions are:

sinα =√6/3

tanα=√2

cosecα=3/√6

secα=√3

cotα=1/√2

Given that cosα=√3/3

By definition cosine function , it is a ratio of adjacent side and hypotenuse.

So, adjacent side  =√3

Hypotenuse = 3

Let us find the third side of a triangle, by using pythagoras theorem.

√3²+x²=3²

3+x²=9

x=√6

So opposite side is √6.

Now let us find the other trigonometric values

Sinα= opposite side/hypotenuse

Sinα=√6/3

Tanα=opposite side/adjacent side

=√6/√3

Tanα=√2

Cosecα = hypotenuse/opposite side

=3/√6

Cosecα=3/√6

secα=hypotenuse side/adjacent side

=3/√3

=√3

secα=√3

cotα=Adjacent side/opposite side

=√3/√6

cotα=1/√2

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The compete question is given in attachment.

Mmaximum number of apples produced per year is 98000 when 70 apple trees are planted in the farm.

To find the maximum number of apples per year, we need to find the vertex of the quadratic equation y=-20x^(2)+2800x. The x-coordinate of the vertex can be found using the formula x=-b/(2a), where a=-20 and b=2800.

Plugging in the values for a and b, we get:
x=-2800/(2*-20)
x=-2800/(-40)
x=70

So, the maximum number of apples per year will be produced when 70 apple trees are planted in the farm. We can find the y-coordinate of the vertex by plugging x=70 back into the equation:

y=-20(70)^(2)+2800(70)
y=-20(4900)+196000
y=-98000+196000
y=98000

Therefore, the maximum number of apples produced per year is 98000 when 70 apple trees are planted in the farm.

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Answer:D

Step-by-step explanation:

It’s D because 18 chocolate chip muffins and there are 9 blueberry muffins so for every blueberry muffin there is 2 chocolate chip muffins you could also do 18/9 and 2

The area of the parallelogram with base of 8cm and height of 9cm is 72cm²

It is important to note the following properties of a parallelogram;

From the information given, we have that;

Area = bh

Given that;

Now, substitute the values

Area = 8(9)

Area = 72cm²

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b.4+3cos²x is the simplification of the given trigonometric identity

Explanation:
Using the identity sin²x + cos²x = 1, we can simplify the expression:

4-4sin²x/(cot²x) + 7cos²x
= 4 (1-sin²x)/(cot²x) + 7cos²x
= 4 cos²x/cot²x + 7cos²x
= 4sin²x + 7cos²x

= 4sin²x + 4cos²x + 3cos²x

=4+3cos²x

Hence, the answer is b. 4 + 3cos²x

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The area under the curve is 4.55 square units.

Here we have to find the area,

That lies under the curve y -x + 1 between x = 0 and x = 10

Therefore,

To estimate the area that lies under the curve y = -x + 1 between x = 0 and x = 10,

Use the Riemann Sum method,

Divide the interval [0, 10] into n subintervals of equal width,

And let Δx be the width of each subinterval.

Then, we can estimate the area under the curve as the sum of the areas of n rectangles with heights given by the function.

The formula for the Riemann Sum is,

⇒ Δx [f(0) + f(Δx) + f(2Δx) + ... + f((n-1)Δx)]

where Δx = (b-a)/n, a = 0, b = 10, and f(x) = -x + 1.

Let's choose,

n = 100 for a reasonably accurate estimate.

Then, Δx = (10-0)/100 = 0.1

Put it into the formula, we get.

⇒ 0.1[1 + 0.9 + 0.8 + ... + 0.1]

Evaluating the sum using the formula for the sum of an arithmetic series, we get:

⇒ 0.1(0.5)[2 + (99)(-0.9)]

Simplifying, we get,

⇒ 4.55

Therefore, the required area be 4.55 square units.

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Answer:

Step-by-step explanation:

A$AP BEAN$: Khan Academy can help you. Do your work and stop cheating!!!!!

BEAN$ OUT!!!!!

In response to the aforementioned query, we may say that As a result, expressions the response is A. A quotient of two sums is this.

Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression. For example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

It is better to refer to the phrase (8+5)/(y+6) as "a quotient of two sums" since it divides the sum of 8 and 5 by the sum of y and 6.

As a result, the response is A. A quotient of two sums is this.

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The radius of this circle corresponds to the radius of the circle whose answer is x2 + y2 = 9, where the circle's centre is on the x-axis.

In mathematics, a circle is a geometric figure made up of all the points in a sphere that are equally spaced from the circle's centre. The radius of the circle is the distance measured from any location on the circle to its centre. The width of a circle is the distance across the circle that passes through its centre, and the circumference of a circle is the distance around the circle. The equations of circles in the coordinate plane can be used to characterise them. The equation for a circle with centre (h,k) and radius r has the following conventional form:

(x - h)² + (y - k) (y - k)² = r² where (x,y) are any location on the circle's coordinates.

given

We can begin by completing the cube to rewrite the equation in standard form:

x2 - 2x + y2 = 8

(x - 1)2 + y2 = 9

We can see from this standard shape that the circle's centre is (1, 0), which is located on the x-axis. This circular has a radius of √9 units, or 3 units. Thus, the following assertions are true:

The circular has a radius of three units.

The x-axis is where the circle's middle is located.

The radius of this circle corresponds to the radius of the circle whose answer is x2 + y2 = 9, where the circle's centre is on the x-axis.

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The number of batches of the recipe Minh makes is 6

A proportion can be described as a mathematical comparison that is between two numbers.

These numbers can represent a comparison between things or people.

Also, proportions can also be written as two equivalent fractions. They are represented with the equality sign '=' or the equivalent sign ':'

From the information given, we have that;

For one recipe, one uses 1/3 cup of sesame seeds

Minh has 2 cups of sesame seeds

Then,

If 1/3 cup of sesame seeds = 1 recipe

Then 2 cups of sesame seeds = x

cross multiply

c = 2 × 3/1

c = 6 recipes

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The revised mean is thus 20.8, which is consistent with choice (B).

How can you calculate the mean?

Simply dividing the total number of values in a data collection by the aggregate of all of the values yields it. The computation can be performed on unprocessed data or data that has been combined into a frequency chart.

We must first compute the average of the dataset such as the new number, then split by the overall number of data points in order to determine the innovative mean within a week of adding a count to the dataset.

Let's call the four original numbers in the dataset A, B, C, and D. We know that their mean is 19, so we can write:

(A + B + C + D)/4 = 19

Multiplying both sides by 4 gives us:

A + B + C + D = 76

Now, if we add the number 28 to the dataset, we get a new sum:

A + B + C + D + 28

To find the new mean, we need to divide this sum by the total number of values in the dataset, which is 5 now:

(A + B + C + D + 28)/5

Substituting in our earlier expression for A + B + C + D, we get:

(76 + 28)/5 = 104/5 = 20.8

Therefore, the new mean is 20.8, which corresponds to option (B).

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The distance between home plate and second base in a Major League Baseball field is approximately 127.28 feet.

The distance from home plate to second base in a major league baseball field is 127 feet and 3⅜ inches, or approximately 127.28 feet. This is because the distance between each base (from home to first, first to second, etc.) is 90 feet, and the diagonal of a square is found by using the Pythagorean theorem: a² + b² = c². In this case, a and b are both 90 feet, so the equation becomes 90² + 90² = c². Simplifying and solving for c gives us c = 127.28 feet. Therefore, the distance from home plate to second base is 127.28 feet.

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The multiplicity of the zero [tex]x=1[/tex] for the function [tex]f(x)=x^2(x-1)^(4)(x+5)[/tex] is 4.


In a polynomial function, the multiplicity of a zero is the number of times that zero appears as a factor in the function. In other words, it is the exponent of the factor corresponding to that zero.

In the given function [tex]f(x)=x^2(x-1)^4(x+5)[/tex], we can see that the zero x=1 corresponds to the factor (x-1)^(4). This means that the multiplicity of the zero x=1 is 4, as it appears as a factor 4 times in the function.

Therefore, the multiplicity of the zero [tex]x=1[/tex] for the function [tex]f(x)=x^2(x-1)^(4)(x+5)[/tex] is 4.

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The inventory turnover is 5 days and the number of days sales is  73 days if we assume 365 days a year.

The given data is as follows;

Cost of goods sold = $259,150

Average inventory = 51,830

a. Inventory turnover

Inventory turnover is calculated by dividing the cost of goods sold by the average inventory of the report.

Inventory turnover = (Cost of goods sold) / (Average inventory )

Inventory turnover = $259,150 / $51,830

Inventory turnover = 4.99 = 5

b. Number of days' sales in inventory

Assuming that 365 days in a year.

The number of days' sales in inventory is calculated by dividing the number of days in a year by the Inventory turnover

Number of days' sales = 365 days / (Inventory turnover)

Number of days' sales = 365 days / 4.999 = 73.015

Therefore we can conclude that the Inventory turnover is 5 and the Number of days' sales is 73 days.

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Quadrilateral QRST would become a Rhombus if all the conditions discussed below are fulfilled.  

What is a Rhombus?

Rhombuses are a particular sort of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal. This is a rhombus' fundamental characteristic. A rhombus has a diamond-shaped form. As a result, it is also known as a diamond.

Given QRST Quadrilateral.

In order to be Rhombus, these conditions must fulfill:

1. all sides are equal i.e. QT=TS=SR=RQ

2. Diagonals meet at 90-degree i.e. ∠11 = ∠10=∠9=∠12 = 90°

3. Diagonals bisect the angles of a rhombus i.e. ∠6=∠7, ∠5=∠4, ∠3=∠2 and ∠8=∠1.

4. Opposite angles are equal.

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To make a parallelogram a rhombus, make its sides equal, angles should be 90° and diagonals should be equal.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A parallelogram becomes a rhombus if and only if all four sides are congruent, which means they have the same length.

Therefore, to make the parallelogram QRST a rhombus, we need to ensure that all four sides are of equal length.

This can be achieved by satisfying any of the following conditions -

All four sides have the same length.

The diagonals of the parallelogram are perpendicular bisectors of each other.

In other words, they meet at right angles and divide each other into equal halves.

The diagonals of the parallelogram have equal length.

Therefore, if we can make sure that any of these three conditions are true for the parallelogram QRST, then we can make it a rhombus.

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