How do you find the area of a trapezoid without the height?

Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°

Answer:

Your correct answer is = 5x + 45

Step-by-step explanation:

To find this, you will need to learn to multiply polynomials.

14/85 is the probability that one of each color is drawn.

How does probability explain work?

Red balls = 2

black balls = 7

white balls = 8

total balls  = 2 + 7 + 8 = 17

p( one ball from each color = ²C₁ * ⁷C₁ * ⁸C₁/ ¹⁷C₃

                                              = 2 * 7 * 8//680

                                              = 14/85

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The converted value of Celsius to Fahrenheit represented as 45 Celsius equals to 113 Fahrenheit.

Temperature is measured by the standard units which is defined as  Celsius and Fahrenheit .

Formula which defines  the relation of  Celsius and Fahrenheit is equal to

(°C × 9/5) + 32 =°F

Now Substitute the given value 45 degree Celsius and convert into Fahrenheit we have,

(45°Celsius × 9/5) + 32

= ( 405 / 5 ) + 32

= ( 81 ) + 32

= 113°Fahrenheit

Therefore, the converted value from Celsius to Fahrenheit for the given temperature 45 Celsius is given by 113 Fahrenheit.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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The power of each term in the expressions is D and E are positive integer. So, the expressions are a polynomial.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

A) \(x^{-2}+15x-3\)

Here, the exponent of x is -2. So, the expression is not a polynomial.

B) \(-x^3+5x^2+7\sqrt{x} -1\)

Here, the power of one of the term is 1/2. So, the expression is not a polynomial.

C) \(\frac{3}{5}x^4-18x^2+5-\frac{10}{x^2}\)

Here, the power of one of the term is -2. So, the expression is not a polynomial.

D) 5.3x²+3x-2

Here, the power of each term is positive integer. So, the expression is a polynomial.

E) \(4x^4-10\)

Here, the power of each term is positive integer. So, the expression is a polynomial.

The power of each term in the expressions is D and E are positive integer. So, the expressions are a polynomial.

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Answer:

25 minutes

Step-by-step explanation:

1950/78=25

Answer:

25 minutes

Step-by-step explanation:

Just divide 1,950 by 78.

Answer:

x = 11/5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3(4 - 2x) = -x + 1

Step 2: Solve for x

Answer:

x=0.4545454

Step-by-step explanation:

3(4-2x)=-x+1

12-6x=-x+1

12-1=-x+6x

11=5x

0.4545454=x

Answer:

There are 30 backpacks on each shelf if thats what your asking

Step-by-step explanation:

Because 2 times 3 is 6 and 5 times 6 is 30

Answer:

3

Step-by-step explanation:

2.25×10=22.5

If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

It's not similar :)

hope this helps<3

The triangles are not similar because the sides are not proportional.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

So we know that length of sides are proportional.

If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.

We have only the length of two sides of each triangle.

If those sides are proportional, we must have an angle of each triangle to be equal.

Here, the angles formed by the intersecting lines are vertical angles and are thus equal.

Let's look if the sides are proportional.

20 / 36 = 5/9

24 / 42 = 4/7

Sides are not proportional.

Hence the given triangles are not similar.

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Answer:

32 books.

Step-by-step explanation:

What do we know?

As Olive continues this pattern, this will involve multiplication.

4 books per month and 8 months.

4*8=32 books.

So, Olive will read 32 books within 8 months.

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

The percentage of the reservations were for Friday or Saturday is 67%

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

The graph

On the graph, we have the following data values for reservation

The total number of reservations in the bar chart is then calculated as

Total number of reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9

Evaluate the sum

So, we have the following representation

Total number of reservations = 84

The total number of reservations for Friday or Saturday is then calculated as

Total number for Friday or Saturday = 26 + 30

Evaluate the sum

So, we have the following representation

Total number for Friday or Saturday = 56

The percentage of the reservations were for Friday or Saturday is then calculated as

Percentage = Total number for Friday or Saturday/Total number of reservations

This gives

Percentage = 56/84

Evaluate

Percentage = 67%

Hence, the percentage is 67%

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9514 1404 393

Answer:

  (x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

  (2x -3y -2z) +(x +3y +2z) = (4) +(-7)

  3x = -3

  x = -1

Adding equations 2 and 3:

  (x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

  -3x -y = 3

Substituting for x, we get ...

  (-3)(-1) -y = 3

 0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

  -1 +2z = -7

  2z = -6 . . . . . add 1

  z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

Answer:

Step-by-step explanation:

Use Pythagorean to decide

Sides 12, 16, 20

Sides 2.4, 4.5, 5.1

The value of the definite integral is 32/3.

To evaluate the definite integral ∫[(1 - √x)² dx] from 2 to 6 using the Fundamental Theorem of Calculus:

By applying the Fundamental Theorem of Calculus, we can evaluate the definite integral. First, we find the antiderivative of the integrand, which is (1/3)x³/² - 2√x + x. Then, we substitute the upper and lower limits into the antiderivative expression.

When we substitute 6 into the antiderivative, we get [(1/3)(6)³/² - 2√6 + 6]. Similarly, when we substitute 2 into the antiderivative, we obtain

[(1/3)(2)³/² - 2√2 + 2].

Finally, we subtract the value of the antiderivative at the lower limit from the value at the upper limit: [(1/3)(6)³/² - 2√6 + 6] - [(1/3)(2)³/² - 2√2 + 2]. Simplifying this expression, we get (32/3). Therefore, the value of the definite integral is 32/3.

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Answer:

Step-by-step explanation:

The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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