4a) Why are the two triangles congruent? *
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The total cost of bedsheets will be 200x and the total cost of pillowcases will be 50y. According to the problem, she needs to make at least ₱6000, so we have the equation 200x + 50y ≥ 6000.

To help Beth determine the number of bedsheets and pillowcases she needs to sell to make at least ₱6000, we can set up an equation based on the cost of each item. Let's assume she sells x bedsheets and y pillowcases.

To find the number of bedsheets and pillowcases, we can explore different combinations that satisfy the equation. For example, if we assume she sells 20 bedsheets, the cost would be 200 * 20 = ₱4000. To reach a total of ₱6000, she would need to sell additional pillowcases. By trying different combinations, we can find a solution that satisfies the equation.

For the advertisement, we can create a printed ad that highlights the quality and affordability of the products. We can include attractive visuals of the bedsheets and pillowcases, along with the prices and any special offers. The ad should emphasize the benefits of purchasing from Beth, such as the reasonable prices and the opportunity to support a local business. Additionally, providing contact information and a clear call-to-action can help potential customers easily reach out and make a purchase.

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Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

Answer: B) 5

Step-by-step explanation:

3 = 9/3

9/3 < 13/3

————————

5 = 15/3

15/3 > 13/3

————————

-9 = -27/3

-27/3 < 13/3

————————

2 = 6/3

6/3 < 13/3

SOLUTION

Given B is the midpoint of AC ABBC 1 and C is the midpoint of BD BCCD2 ie on adding 1 and 2 ART We get ABBCBCCD hence ABCD hence proved

The type of dilation and scale factor in the figure shown is

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying or enlargement.

The given problem is enlargement since the preimage is smaller than the image. Also the scale factor will be greater than 1

Taking a point of reference say side 6 in the preimage and side 15 in the image and solve for the factor, assuming the factor is k

6k = 15

k = 15/6

k = 2.5

hence we say that the scale factor is 2.5

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Answer: Enlargement with scale factor of 2.5

Step-by-step explanation: I took the quiz so you don't have too!

Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

Answer:

x = 36°

Step-by-step explanation:

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

Sine is viable here since opposite and hypotenuse are given.

sin x = 13 / 22

x = sin⁻¹ (13 / 22)

x = 36.2 ≈ 36

Answer:

x ≈ 36.2°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{13}{22}\) , thus

x = \(sin^{-1}\) (\(\frac{13}{22}\) ) ≈ 36.2° ( to 1 dec. place )

Answer:

a

Step-by-step explanation:

\(a_{1} = -6\\\\a_{n}=\frac{1}{2}a_{n-1} - n\\\\a_{2}=\frac{1}{2}a_{1}-2\\\\ = \frac{1}{2}*(-6)-2\\\\ = -3 - 2\\\\= -5\\\\a_{3}=\frac{1}{2}a_{2}-3\\\\= \frac{1}{2}*(-5)-3\\\\=\frac{-5}{2}-3\\\\= \frac{-5}{2}-\frac{3*2}{1*2}\\\\=\frac{-5}{2}-\frac{6}{2}\\\\=\frac{-11}{2}\)

Answer:-20

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= -22-(-2)/(-4-(-4)

= -20/0

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

Answer B, Dogs, cats, fish, birds, reptiles, hamsters

12% for birds, 20% for cats, 40% for dogs, 15% for fish, 3% for hamsters, and 10% for reptiles

Step-by-step explanation:

For the first you simply have to order the votes in desending order, from the most popular choice to the least, that being the order in option B

For the second, because there are 200 people who voted and percentages are out of 100%, you simply have to divide the number of votes for each kind of pet by 2 to get the percentage of people who voted for it.

The relative size of each category from largest to smallest is option B. Dogs, cats, fish, birds, reptiles, hamsters.

Percentage is defined as the parts of a number per fraction of 100. So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given,

Total students surveyed = 200

Students who preferred dogs = 80

Students who preferred reptiles = 20

Students who preferred birds  = 24

Students who preferred cats = 40

Students who preferred fish = 30

Students who preferred hamsters = 6

(a) So most of the students preferred dogs, then cats, then fish, then birds, reptiles and hamsters.

So the relative size of each category from smallest to largest is Dogs, cats, fish, birds, reptiles, hamsters.

(b) Percentage of dogs = (80 / 200) × 100 = 40%

Percentage of reptiles = (20 / 200) × 100 = 10%

Percentage of birds = (24 / 200) × 100 = 12%

Percentage of cats = (40 / 200) × 100 = 20%

Percentage of fish = (30 / 200) × 100 = 15%

Percentage of hamsters = (6 / 200) × 100 = 3%

(c) Number of degrees for dogs = 40% × 360° = 144°

Number of degrees for reptiles = 10% × 360° = 36°

Number of degrees for birds = 12% × 360° = 43.2°

Number of degrees for cats = 20% × 360° = 72°

Number of degrees for fish = 15% × 360° = 54°

Number of degrees for hamsters = 3% × 360° = 10.8°

Hence the percentage and degree of each category is found.

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When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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The graph is attached below.

To graph the rational function f(x) = 8/(x-2), follow these steps:

The resulting graph should have a vertical asymptote at x=2, a horizontal asymptote at y=0, and crosses the x-axis at x=2 and the y-axis at y=-4. The graph is decreasing from negative infinity to x=2, and increasing from x=2 to positive infinity.

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Respuesta:

Los 47.85m

Explicación paso a paso:

Altura máxima = u²sin²Ф / 2g

Dado

velocidad u = 40 m / s

Ф = 50 °

g = 9,81 m / s²

Sustituir'

H = 40²sin²50 / 2 (9,81)

H = 1600 (0,7660) ² / 19,62

H = 1600 (0,5868) /19,62

H = 938,8096 / 19,62

H = 47,85 m

Por lo tanto, la altura máxima es de 47,85 m.

Using the z-distribution, the sample sizes required are given as follows:

a) 822.

b) 1068.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Then, the margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

We have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

Item a:

The estimate is of \(\pi = 0.26\), hence we solve for n when M = 0.03.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}\)

\(0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2\)

n = 821.2

Rounding up, a sample of 822 is needed.

Item b:

No prior estimate, hence \(\pi = 0.5\), which is when the largest sample size is needed.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2\)

n = 1067.11

Rounding up, a sample of 1068 is needed.

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The number of horizontal asymptotes that a function can have depends on its behavior as x approaches positive or negative infinity.

a) If the function approaches a specific value or constant as x approaches positive or negative infinity, it can have 0 horizontal asymptotes.

b) If the function approaches the same value or constant as x approaches positive or negative infinity, it can have 1 horizontal asymptote.

c) If the function approaches different values or constants as x approaches positive or negative infinity, it can have 2 horizontal asymptotes.

d) It is not possible for a function to have exactly 3 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 4.

e) It is not possible for a function to have exactly 4 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 3.

the correct options are:

a) 0

b) 1

c) 2

d) 3

e) 4

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The specific production/operations management issue raised in the case is the need for effective production and operations management strategies in the company.

The components of this specific operations management issue can be categorized into the following broad areas: New product launch strategy: The company aims to launch new products before its competitors, requiring careful planning and coordination of production processes. This involves considering factors such as market demand, product design, and production capacity. Preventive maintenance: The company employs preventive maintenance techniques to ensure the reliability of its machinery. This includes regular inspections, repairs, and maintenance activities to minimize downtime and enhance production efficiency. Production scheduling: The company follows a timetable that outlines which items are to be produced, in what quantity, and when to produce them. This involves considering factors such as demand forecasts, production capacity, and resource availability to optimize production schedules. Statistical quality control: The company utilizes statistical quality control tools to assess whether its products meet customer requirements. This includes statistical analysis, process monitoring, and quality assurance techniques to identify and address deviations from quality standards.

Inventory management: The company maintains a certain percentage (15%) of finished goods in the store to meet emergency needs. This involves efficient inventory management practices, including balancing inventory levels, monitoring demand patterns, and implementing just-in-time principles to minimize wastages and ensure timely availability of products. Facility arrangement: The company needs to address the arrangement of production facilities as a critical issue. This involves determining the layout, location, and organization of production facilities to optimize workflow, minimize bottlenecks, and enhance overall operational efficiency.

In summary, the case raises the need for effective production and operations management strategies in the company. It highlights various components of operations management, including new product launch strategy, preventive maintenance, production scheduling, statistical quality control, inventory management, and facility arrangement. By addressing these components, the company can enhance its production efficiency, meet customer requirements, and achieve improved product quality.

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Answer:

The length of x in the simplest radical form with a rational denominator will be:      

Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 60°

adjacent of 60° = x

hypotenuse = 5

so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

cos Ф = adjacent / hypotenuse

so

\(cos\:60^{\circ }\:=\:\frac{x}{5}\)

       \(\frac{\sqrt{3}}{2}=\frac{x}{5}\)

switch sides

         \(\frac{x}{5}=\frac{\sqrt{3}}{2}\)

Multiply both sides by 5

         \(\frac{5x}{5}=\frac{5\sqrt{3}}{2}\)

Simplify

         \(x=\frac{5\sqrt{3}}{2}\)

Therefore, the length of x in the simplest radical form with a rational denominator will be:      

Answer:

(D) 2 x 10²

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2 × 10 ^2

Step-by-step explanation:

(d) option is correct

Answer:

He can find how much water he has left after watering his plants, and subtract it by how much he started with.

By using a measuring cup. This would help him find the amount of water left in the can, which then the amount of cups would be subtracted from 10.

Answer:

(8, - 9 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 8, - 9 ) → (8, - 9 )

The Equations have No solution.

We have,

y=5x+3

y=5x-2

Solving the Equation we get

5x + 3 = 5x - 2

5x - 5x = -2-3

0 = -5

Also, 5/5 = -1 / (-1) ≠ 3-/2

Thus, the equation have no solution as the equation represent parallel line.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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answer:

53

explanation