Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The evaluated expression 3 4/12 - 1 2/3 + 1 2/5 is equal to the fraction 46/15.

To evaluate the expression 3 4/12 - 1 2/3 + 1 2/5, we need to simplify the mixed numbers and perform the operations in the correct order:

addition and subtraction.

First, let's convert the mixed numbers into improper fractions:

3 4/12 = (3 × 12 + 4) / 12 = 40/12

1 2/3 = (1 × 3 + 2) / 3 = 5/3

1 2/5 = (1 × 5 + 2) / 5 = 7/5

Now, we can rewrite the expression using the improper fractions:

40/12 - 5/3 + 7/5

To add or subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 12, 3, and 5 is 60.

Converting the fractions to have a denominator of 60:

40/12 = (40 × 5) / (12 × 5)

= 200/60

5/3 = (5 × 20) / (3 × 20)

= 100/60

7/5 = (7 × 12) / (5 × 12)

= 84/60

Now, we can rewrite the expression with the common denominator:

200/60 - 100/60 + 84/60

Combining the numerators and keeping the denominator:

(200 - 100 + 84) / 60 = 184/60

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

184/60 = (184/4) / (60/4)

= 46/15

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Working toward a specific answer is a good practice when problem-solving as it provides focus and direction.  Option C

When problem-solving, it is often beneficial to work toward a specific answer or goal. This approach allows for a clear focus and direction, making it easier to identify and implement the necessary steps to reach a solution. By setting a specific target, one can develop a systematic plan and allocate resources effectively.

Predicting that a situation will occur involves envisioning the desired outcome or the expected result. This prediction serves as a guide throughout the problem-solving process and helps in making informed decisions and taking appropriate actions. It provides a sense of direction and purpose, increasing the chances of finding a satisfactory solution.

Option A) Guess and check ideas: While guessing and checking can be a useful strategy in some situations, it is often time-consuming and inefficient. Relying solely on trial and error can lead to frustration and may not guarantee an optimal solution.

Option B) Avoiding different opportunities and outcomes: This strategy limits creative thinking and narrows down the possibilities for finding innovative solutions. Exploring different opportunities and outcomes can lead to fresh insights and alternative approaches.

Option D) Logical reasoning is not necessary: Logical reasoning is an essential component of problem-solving. It involves analyzing information, identifying patterns, and drawing conclusions based on evidence and logical thinking. It helps in making sound judgments and evaluating the feasibility of different solutions.

Option C

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Note: the complete questions is:

Which of the following strategies is a good practice when problem solving by predicting that the situation will occur?

A)  Guess and check ideas.

B) Avoid different opportunities and outcomes.

C) Work toward a specific

D) Logical reasoning is not necessary.?

Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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The probability of randomly selecting a present that contains a gem is 0.35.

Total number of presents = 20

Number of presents containing gems = 7

To calculate the probability, we divide the number of presents containing gems by the total number of presents:

Probability = Number of presents containing gems / Total number of presents

          = 7 / 20

          = 0.35

Therefore, the probability of randomly selecting a present that contains a gem is 0.35.

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Answer:

1,2,3

Step-by-step explanation:

:)

The calculated measure of the arc RI is 51 degrees

From the question, we have the following parameters that can be used in our computation:

LQ = 143 degrees

RAI = 97 degrees

The measure of RI is then calculated using

RAI = 1/2(LQ + RI)

substitute the known values in the above equation, so, we have the following representation

1/2(143 + RI) = 97

So, we have

RI = 97 * 2 - 143

Evaluate

RI = 51

Hence, the measure of RI is 51 degrees

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No federal income taxes are withheld for a single person earning a gross biweekly salary of $780 and claiming 6 exemptions.

According to the federal tax table provided, the amount of income tax withheld depends on the gross biweekly salary and the number of withholding allowances claimed. In this case, the single person earns a gross biweekly salary of $780 and claims 6 exemptions.

Based on the tax table, we find the corresponding entry for a gross biweekly salary of $780 and 6 withholding allowances. Looking at the table, we can see that the amount of income tax withheld for this specific combination is listed as "0".

Therefore, no federal income taxes are withheld for a single person earning a gross biweekly salary of $780 and claiming 6 exemptions. The net pay for this individual would remain the same as their gross salary, as there are no deductions for federal income taxes.

It's important to note that this answer is based on the specific information provided in the tax table. Tax withholding calculations can be more complex in real-life situations, taking into account additional factors such as deductions, credits, and other tax obligations. It is always advisable to consult with a tax professional or refer to the most up-to-date tax regulations to accurately determine the federal income tax withholding for an individual's specific circumstances.

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The correct statement regarding the vertical asymptote of the function in this problem is given as follows:

B. The function has one vertical asymptote with an equation x = 2.

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The function in this problem is given as follows:

y = 1/(x - 2) + 3.

As the denominator must be different of zero, the equation of the vertical asymptote in this problem is given as follows:

x - 2 = 0

x = 2.

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A sequence of similarity transformations that maps △ABC onto △XYZ is a reflection across the x-axis, followed by a dilation with scale factor of 2 centered at the origin, and then a translation 5 units to the left and 1 unit up.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

By applying a reflection over or across the x-axis to triangle ABC, we have;

(x, y)                →      (x, -y)

A (0, 0)             →      (0, -(0)) = A' (0, 0)

By applying a dilation with scale factor of 2 centered at the origin, we have:

A' (0, 0)   →  A' (0 × 2, 0 × 2)   →  A'' (0, 0) 

By translating A" horizontally left by 5 units and vertically up by 1 unit, the coordinates X of △XYZ include the following:

(x, y)         →                  (x - 5, y + 1)

A'' (0, 0) →  (0 - 5, 0 + 1) → X (-5, 1)

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The average number of garages in a house, based on the given frequency table, is approximately 2.48.

The average number of garages in a house, we need to calculate the mean using the frequency table provided.

First, we calculate the product of each value of X (the number of garages) with its corresponding frequency.

This will give us the sum of the products.

Sum of products = (1 × 15) + (2 × 23) + (3 × 35) + (4 × 10)

= 15 + 46 + 105 + 40

= 206

Next, we calculate the total frequency by summing up all the frequencies.

Total frequency = 15 + 23 + 35 + 10

= 83

Finally, we divide the sum of products by the total frequency to find the average.

Average number of garages = Sum of products / Total frequency

= 206 / 83

≈ 2.48

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The constant of the proportionality is 2/3

From the question, we have the following parameters that can be used in our computation:

x  y

3  2

The constant of the proportionality is calculated as

k = y/x

substitute the known values in the above equation, so, we have the following representation

k = 2/3

Hence, the proportionality constant is 2/3

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The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

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The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square is:

1. Prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals.

To prove that quadrilateral ABCD is a square, we need to demonstrate several properties. Let's examine the statement mentioned:

Prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals.

First, let's calculate the lengths of the sides of quadrilateral ABCD using the distance formula:

Length of AB = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(1 - (-3))^2 + (7 - 5)^2]

= √[4^2 + 2^2]

= √[16 + 4]

= √20

= 2√5

Length of BC = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(3 - 1)^2 + (3 - 7)^2]

= √[2^2 + (-4)^2]

= √[4 + 16]

= √20

= 2√5

Length of CD = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(-1 - 3)^2 + (1 - 2)^2]

= √[(-4)^2 + (-1)^2]

= √[16 + 1]

= √17

Length of DA = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(-3 - (-1))^2 + (5 - 1)^2]

= √[(-2)^2 + 4^2]

= √[4 + 16]

= √20

= 2√5

We can observe that all sides AB, BC, CD, and DA have the same length, 2√5. Therefore, all sides of quadrilateral ABCD are congruent.

Next, let's calculate the slopes of the line segments AB, BC, CD, and DA:

Slope of AB = (7 - 5) / (1 - (-3)) = 2/4 = 1/2

Slope of BC = (3 - 7) / (3 - 1) = -4/2 = -2

Slope of CD = (1 - 3) / (-1 - 3) = -2/(-4) = 1/2

Slope of DA = (5 - 1) / (-3 - (-1)) = 4/(-2) = -2

We can observe that the slopes of consecutive sides AB and BC, as well as CD and DA, are opposite reciprocals of each other (1/2 and -2, -2 and 1/2). This satisfies the condition of opposite reciprocals.

Based on the analysis above, we find that all sides of quadrilateral ABCD are congruent, and the slopes of consecutive sides are opposite reciprocals. Therefore, we can conclude that quadrilateral ABCD is a square.

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The probable question could be:

Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a square? (1 point) shape abcd is shown. point a is at negative 3, 5. point b is at 1, 7. point c is at 3, 3. point d is at negative 1, 1. prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals. 2. prove that segments ad and ab are congruent and parallel prove that opposite sides are congruent and that the slopes of consecutive sides are equal. 3. prove that segments bc and cd are congruent and parallel.

The probabilities for this problem are given as follows:

a) Crazing, cracks or Right shaped - small: (4654 + 1387)/26695 = 0.226.

b) Not Crazing cracks: (26695 - 1387)/26695 = 0.948.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes for this problem is given as follows:

5734 + 4654 + 1554 + 1594 + 1829 + 1387 + 1718 + 1822  + 1291 + 1602 + 1538 + 975 + 997 = 26695.

The probability for item a is given as follows:

(4654 + 1387)/26695 = 0.226.

The probability for item b is given as follows:

(26695 - 1387)/26695 = 0.948.

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The recursive formula of the geometric sequence is a(n) = 3a(n - 1) where a(1) = 2

from the question, we have the following parameters that can be used in our computation:

[tex]a(n) =2 * 3^{n-1[/tex]

Set a = 1

So, we have

[tex]a(1) =2 * 3^{1-1[/tex]

a(1) = 2

Next, we have

Common ratio, r = 3

This means that a(n) = 3a(n - 1) where a(1) = 2

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The error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.

The error that Janice made can be identified by analyzing her calculations. Let's examine each step she took:

Step 1: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds

In this step, Janice correctly converted the mixed number to an improper fraction, which becomes 10 and StartFraction 5 over 6 EndFraction = StartFraction 65 over 6 EndFraction.

Step 2: StartFraction 65 over 6 EndFraction divided by five halves

In this step, Janice attempted to divide the fractions. However, she made an error by adding the numerators and denominators instead of multiplying. This is incorrect. The correct operation for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of five halves is two fifths.

Step 3: StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction

Here, Janice multiplied the fractions correctly. The product of these fractions is StartFraction 130 over 30 EndFraction.

Step 4: StartFraction 130 over 30 EndFraction = 4 and one-third

In this step, Janice attempted to convert the improper fraction to a mixed number. However, she made another error in her calculation. The fraction StartFraction 130 over 30 EndFraction is not equal to 4 and one-third. The correct conversion would yield 4 and two-sixths or 4 and one-third.

Therefore, the error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.

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The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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When the Fahrenheit temperature is 104 degrees, the corresponding Celsius temperature is 40 degrees.

To convert Fahrenheit to Celsius, we can use the formula C = 5/9 * (F - 32), where C represents the Celsius temperature and F represents the Fahrenheit temperature.

Let's substitute the Fahrenheit temperature of 104 degrees into the equation:

C = 5/9 * (104 - 32)

First, let's simplify the expression within the parentheses:

C = 5/9 * 72

To multiply 5/9 by 72, we can multiply the numerator by 72:

C = (5 * 72) / 9

Now, let's perform the multiplication:

C = 360 / 9

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 9:

C = 40

In summary, using the given formula C = 5/9 * (F - 32), when the Fahrenheit temperature is 104 degrees, the Celsius temperature is 40 degrees.

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Check the picture below.

The Evaluation of the function F(x+h) = 4[tex]x^{2}[/tex] + 3x - 4 is 41.

While evaluating the function F(x+h) = 4[tex]x^{2}[/tex] + 3x - 4, .we need to substitute (x+h) in place of x in the function and simplify the expression.

F(x+h) = 4[tex](x+h)^2[/tex] + 3(x+h) - 4

Expanding the squared term [tex](x+h)^2[/tex], we get:

F(x+h) = 4[tex](x^2 + 2xh + h^2)[/tex] + 3(x+h) - 4

Now, distribute and simplify:

F(x+h) = 4[tex]x^2[/tex] + 8xh + 4[tex]h^2[/tex] + 3x + 3h - 4

This is the expression for F(x+h). It is a quadratic function in terms of both x and h, with coefficients 4, 8, 4, 3, and -4.

To evaluate the function at a specific value, let's say x = 2 and h = 1, we substitute these values into the expression:

F(2+1) = 4[tex](2^2)[/tex] + 8(2)(1) + 4[tex](1^2)[/tex] + 3(2) + 3(1) - 4

= 16 + 16 + 4 + 6 + 3 - 4

= 41

Therefore, when x = 2 and h = 1, F(x+h) = 41.

Note: The above explanation provides the general evaluation process for the given function F(x+h) = 4[tex]x^2[/tex] + 3x - 4 and includes an example evaluation at specific values of x and h. The expression can be further simplified or manipulated based on specific requirements or mathematical operations.

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The question was Incomplete, Find the full content below :

Evaluate the Function F(x+h)=4[tex]x^2[/tex]+3x-4

Answer:4x5

Step-by-step explanation:

if you round 3.8 to 4 and 4.9 to 5 then multiply that gives u 20

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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The equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

To find the equation of the line that passes through the point (2,28) and is perpendicular to the line that passes through the points (3,7) and (-2,5).

We need to follow a few steps.

Let us first determine the slope of the line passing through the points (3,7) and (-2,5).

We use the formula for finding slope, which is given as follows:m = (y2 - y1)/(x2 - x1)

Here,

x1 = 3, y1 = 7, x2 = -2, y2 = 5.

Substituting these values, we get:m = (5 - 7)/(-2 - 3) = -2/-5 = 2/5

Therefore, the slope of the line passing through (3,7) and (-2,5) is 2/5.

Now, since the line that we are looking for is perpendicular to this line, its slope will be the negative reciprocal of this slope.

We find the negative reciprocal as fol

lows:-

1/(2/5) = -5/2

Therefore, the slope of the line we are looking for is -5/2.

Now we can use the point-slope form of the equation of a line to find its equation.

This equation is given as follows:y - y1 = m(x - x1)

Here, (x1, y1) = (2,28) and m = -5/2.

Substituting these values, we get: y - 28 = (-5/2)(x - 2)

Expanding this equation, we get: 2y - 56 = -5x + 10

Rearranging this equation, we get: 5x + 2y = 66

Therefore, the equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

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88.9 ml of 50% dextrose and 711.1 ml of 5% dextrose solution would be needed to make 800 mL of 10% dextrose solution.

An equation is an expression that shows how numbers and variables are related to each other.

Let x represent the amount of 50% solution and y represent the amount of 5% solution

You need 800 mL of 10% dextrose solution. How much of your 50% and 5% dextrose solution will you need to mix. Hence:

x + y = 800    (1)

Also:

50% of x + 5% of y = 10% of 800

0.5x + 0.05y = 80   (2)

From both equations:

x = 88.9; y = 711.1

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The minimum total distance the employee may have driven before getting stuck in traffic is approximately 7.1 miles + 1.4 miles = 8.5 miles (rounded to the nearest tenth).

To find the minimum total distance the bank employee may have driven before getting stuck in traffic, we can break down the journey into individual segments and calculate the distances between each point.

The first segment is from Branch A to Branch B. We can use the distance formula to calculate the distance between two points in the coordinate plane:

Distance AB = √[(x2 - x1)² + (y2 - y1)²]

In this case, A (-3, 1) and B (4, 2), so we have:

Distance AB = √[(4 - (-3))² + (2 - 1)²]

= √[(7)² + (1)²]

= √[49 + 1]

= √50

≈ 7.1 miles (rounded to the nearest tenth)

The second segment is from Branch B to halfway between Branch B and Branch C.

To find the coordinates of the midpoint between B and C, we can use the midpoint formula:

Midpoint BC = ( (x1 + x2) / 2, (y1 + y2) / 2 )

In this case, B (4, 2) and C (2, 0), so we have:

Midpoint BC = ( (4 + 2) / 2, (2 + 0) / 2 )

= (6 / 2, 2 / 2)

= (3, 1)

Now we can calculate the distance from B to the midpoint BC:

Distance B-Midpoint BC = √[(3 - 4)² + (1 - 2)²]

= √[(-1)² + (-1)²]

= √[1 + 1]

= √2

≈ 1.4 miles (rounded to the nearest tenth)

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The set of natural numbers and ordinal numbers are well-ordered by ∈.

For well-ordered set , it means that for any non-empty subset of natural numbers, there exists a smallest element in the subset.

For instance, the set {1, 3, 5, 7, 9} has a smallest element, which is 1 and a largest , 9.

Well-ordered sets are important in mathematics because they allow us to make certain proofs about the order of sets. For example, we can prove that for any well-ordered set, there exists a smallest element in the set. This is a powerful result that has many applications in mathematics.

Hence, the set of natural numbers is well ordered.

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Answer: x = 5, y = 2

Step-by-step explanation:

To solve the system of linear equations using the elimination method, we'll eliminate one variable by adding the two equations together. Let's start:

Original equations:

-5x + 3y = -19

-x - 3y = -11

Adding the two equations eliminates the variable "y":

(-5x + 3y) + (-x - 3y) = -19 + (-11)

-5x + 3y - x - 3y = -19 - 11

-6x = -30

Dividing both sides of the equation by -6:

-6x / -6 = -30 / -6

x = 5

Now that we have the value of x, we can substitute it back into one of the original equations to find y. Let's use the second equation:

-x - 3y = -11

-5 - 3y = -11

Simplifying the equation:

-3y = -11 + 5

-3y = -6

Dividing both sides of the equation by -3:

-3y / -3 = -6 / -3

y = 2

Therefore, the solution to the system of equations is x = 5 and y = 2.

Answer: 31.5938183883 units

Step-by-step explanation:

Use the distance formula to calculate the perimeter for each side:

d = √((X2-X1)^2+(Y2-Y1)^2)

Example: Coordinates for T (1,11) and U (5,7)

Distance (d) = √(5 - 1)^2 + (7 - 11)^2

= √(4)^2 + (-4)^2

= √32

= 5.6568542494924

U (5,7) and Q (3,0)

Distance = 7.2801098892805

Q (3,0) and R (-3, 0)

Distance = 6

R (-3,0) and S (-3,7)

Distance = 7

S (-3,7) and T (1,11)

Distance = 5.6568542494924

After finding the distance, add the five distances together to get the perimeter:

5.6568542494924 + 7.2801098892805 + 6 + 7 + 5.6568542494924 = 31.5938183883 units