Determine whether side-angle-angle (SAA) is a valid means for establishing triangle congruence. In this case, you know the measure of a side, an adjacent angle, and the angle opposite to the side. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.

20 points ​

Answer:

The answer is 15.9 centimeters. If you work backward with the formula 2pir = circumphrence, you get diameter *pi = 50. To find diameter, you divide 50 by pi and the answer is 15.9 centimeters.

Step-by-step explanation:

The diameter to the nearest tenth of a centimeter is mathematically given as

31.8cm, option D

Question Parameters:

Circle Q has a circumference of approximately 50 centimeters.

Generally, the equation for the circumference   is mathematically given as

C=2\pir

Therefore

r=C/ \pi

r=50/3.14

r=15.9cm

Therefore,

d=2r

d=2*15.9

d=31.847

In conclusion, the diameter to the nearest tenth of a centimeter. is

31.8cm

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Answer:

Step-by-step explanation:

hello :

Answer: -24

Step-by-step explanation:

\(\frac{x}{6} -18 = -22\)

\(\frac{x}{6} = -22 + 18\)

\(\frac{x}{6} = -4\)

\(x= -4*6\)

\(x= -24\)

check work

\(\frac{(-24)}{6} -18 = -22\)

\(-4 -18 = -22\)

\(-22 = -22\)

Answer:

Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.

Step-by-step explanation:

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The solutions to the equation are x = -4 and x = 1.

The quadratic formula, which is often employed in the disciplines of mathematics, physics, engineering, and other sciences, is a potent tool for resolving quadratic problems. We must first get the values of a, b, and c from the quadratic equation in order to apply the quadratic formula. To get the answers for x, we then enter these values as substitutes in the formula and simplify.

The given equation is 4x² + 6x - 13 = 3x².

Rearranging the equation we have:

x² + 6x - 13 = 0

The quadratic formula is given as:

x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a = 1, b = 6, and c = -13.

x = (-6 ± √(6² - 4(1)(-13))) / 2(1)

x = (-6 ± √(100)) / 2

x = (-6 ± 10) / 2

x = -8/2 or x = 2/2

x = -4 or x = 1

Hence, the solutions to the equation are x = -4 and x = 1

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Answer:

X = -2 - y/3

Step-by-step explanation:

First you need to know the current equation, for that:

Notice that when Y = 0, X = 2.

When Y = 6, X = 0

Therefore the equation is X = \(2-\frac{y}{3}\)

To move that to the left of the X axis (negative direction) you just have to reduce the X number:

\(x=-2 - \frac{y}{3}\)

Parallel lines have the same slope.

The required equation is: \(\mathbf{y = -3x - 6}\)

The points on line n are:

\(\mathbf{(x,y) = (4,-6)(2,0)}\)

So, the slope (m1) of line n is:

\(\mathbf{m_1 =\frac{y_2 - y_1}{x_2 - x_1}}\)

This gives

\(\mathbf{m_1 =\frac{0--6}{2 - 4}}\)

\(\mathbf{m_1 =\frac{6}{-2 }}\)

\(\mathbf{m_1 = -3}\)

If the line is parallel to line n, then it has the same slope (m2) as line n.

So, we have:

\(\mathbf{m_2 = m_1 = -3}\)

Point P is given as:

\(\mathbf{P = (-3,3)}\)

The equation is then calculated as:

\(\mathbf{y = m_2(x - x_1) + y_1}\)

This gives

\(\mathbf{y = -3(x + 3) + 3}\)

\(\mathbf{y = -3x - 9 + 3}\)

\(\mathbf{y = -3x - 6}\)

Hence, the required equation is: \(\mathbf{y = -3x - 6}\)

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The total number of marbles present in the bag is 40.

Given the probability of finding a red marble in a bag containing red and blue marbles by randomly choosing is

                                                       \(P(r) =\)  \(\frac{5}{8}\)

Given the total number of red marbles are

                                                      \(N(r) = 25\)

Now the probability of selecting a specific color marble is given as

                                                        \(P = \frac{n}{N}\)

where, \(n\) = Number of a specific color marble

and      \(N\) = Total number of marbles

So from the given data for red marbles, we can get the total number of marbles(this is only possible as all red marbles are equally likely to be chosen)

                                                         \(\frac{5}{8} = \frac{25}{N}\)

Thus,                                            \(N = \frac{8}{5}*25 = 40\)

So we get the total number of marbles as 40.

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Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

On property held by Christian missions, some 20,000 Indians were working and living in California.

10,000 Pueblo Indians, 30,000 people of Spanish ancestry, and an unspecified number of migratory Indians made up New Mexico.

The Treaty of Córdoba was signed on August 24, 1821, by Spanish Viceroy Juan de O'Donoj, approving a plan to transform Mexico into a sovereign constitutional monarchy. Iturbide was named the emperor of Mexico in 1822 since there had been no discovery of a Bourbon king to rule Mexico.

The nation was left in a dire situation after winning independence in 1821. Over 500,000 Mexicans perished during the war, and agricultural, mining, & industrial productivity all declined. Mexico was a young nation that was having internal difficulties becoming a nation.

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a. The amount to which $500 will grow when compounded annually at a rate of 16% for 10 years is approximately $1,734.41.

b. The amount to which $500 will grow when compounded semiannually at a rate of 16% for 10 years is approximately $1,786.76.

c. The amount to which $500 will grow when compounded quarterly at a rate of 16% for 10 years is approximately $1,815.51.

d. The amount to which $500 will grow when compounded monthly at a rate of 16% for 10 years is approximately $1,833.89.

e. The amount to which $500 will grow when compounded daily at a rate of 16% for 10 years (365 days in a year) is approximately $1,843.96.

a. The amount to which $500 will grow when compounded annually at a rate of 16% for 10 years is approximately $1,734.41.

To calculate this, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $500, r = 0.16, n = 1, and t = 10.

Plugging these values into the formula, we get:

A = 500(1 + 0.16/1)^(1*10)

 = 500(1 + 0.16)^10

 ≈ 1,734.41

Therefore, $500 will grow to approximately $1,734.41 when compounded annually at a rate of 16% for 10 years.

b. The amount to which $500 will grow when compounded semiannually at a rate of 16% for 10 years is approximately $1,786.76.

To calculate this, we can use the same compound interest formula, but with a different value for n. In this case, n = 2 because the interest is compounded twice a year.

A = 500(1 + 0.16/2)^(2*10)

 ≈ 1,786.76

Therefore, $500 will grow to approximately $1,786.76 when compounded semiannually at a rate of 16% for 10 years.

c. The amount to which $500 will grow when compounded quarterly at a rate of 16% for 10 years is approximately $1,815.51.

Using the compound interest formula with n = 4 (compounded quarterly):

A = 500(1 + 0.16/4)^(4*10)

 ≈ 1,815.51

Therefore, $500 will grow to approximately $1,815.51 when compounded quarterly at a rate of 16% for 10 years.

d. The amount to which $500 will grow when compounded monthly at a rate of 16% for 10 years is approximately $1,833.89.

Using the compound interest formula with n = 12 (compounded monthly):

A = 500(1 + 0.16/12)^(12*10)

 ≈ 1,833.89

Therefore, $500 will grow to approximately $1,833.89 when compounded monthly at a rate of 16% for 10 years.

e. The amount to which $500 will grow when compounded daily at a rate of 16% for 10 years (365 days in a year) is approximately $1,843.96.

Using the compound interest formula with n = 365 (compounded daily):

A = 500(1 + 0.16/365)^(365*10)

 ≈ 1,843.96

Therefore, $500 will grow to approximately $1,843.96 when compounded daily at a rate of 16% for 10 years.

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Answer:

6,881.9755

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 5000(1 + \(\frac{.04}{12}\))^12(8)

   = 5000(1.00333)⁹⁶

   = 5000(1.37639)

    = 6,881.9755

Answer:

Step-by-step explanation:

Note that any line parallel to the given line will have the same slope as the line given.

Given the equation of the line expressed as x - 3y =-27

Rewrite in standard form y = mx+c where m is the slope

x - 3y =-27

-3y = -x -27

Multiply  through by -11

3y = x+27

Divide through by 3

y = 1/3 x + 9

Since the slope of the line is 1/3, hence the slope of a line parallel to the line is also 1/3

The ledger accounts for Concia Traders are given below:

Capital:

Opening Balance – R105,000

Drawings:

(5) R5,745

Land and Buildings:

(4) R64,065

Vehicles:

(2) R20,340

Equipment:

(2) R1,250

Trading Stock:

(4) R8,482

(5) R16,386

Cash:

(2) R450

Sales:

(4) R13,560

Cost of Sales:

A. Purchases (assume the missing value is for purchases since there is no other related account):

Rent Income:

(3) R5,000

Packing Material:

(4) R3,330

Trading License:

(4) R7,000

Stationery:

(4) R753

Water and Electricity:

(4) R414

Telephone:

(4) R577

(5) R1,334

(4) R994

Note that due to the missing transaction numbers and values in the provided data, this may have an effect on the precision of the ledger accounts. Nevertheless, I have done my best to create these ledger accounts with caution and accuracy.

To determine the selling price through applying a 50% markup on cost price, use this formula:

Selling Price = Cost Price + (Cost Price x Markup Percentage).

For example, if the cost price for an item is R100, then the selling price will be calculated as:

Selling Price = R100 + (R100 x 0.50) = R100 + R50 = R150.

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Answer:

Step-by-step explanation:

The value of x is 15, y is 5 and z is 17 units in the given triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

First let us find value of y

We know that hypotensue / leg = leg/y

20/10 = 10/y

Apply cross multiplication

20y=100

y=5

Now let us find x value

20-y=x

20-5=x

x=15

The altitude is √5.15= √75

=8.6

Now by pythagoras theorem, we find value of z

x²+75 = z²

15²+75 = z²

225+75= z²

300= z²

z=17.3

Hence, the value of x is 15, y is 5 and z is 17 units in the given triangle.

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To answer the questions related to the probability of droplet sizes, we'll use the normal distribution with the given mean and variance. Let's solve each part of the question:

a. Probability that the size of a single droplet is less than 1500 μm:

To find this probability, we need to calculate the cumulative distribution function (CDF) of the normal distribution up to 1500 μm. We'll use the z-score formula:

z = (x - μ) / σ

Where:

x = droplet size (1500 μm)

μ = mean (1050 μm)

σ = standard deviation (square root of the variance, which is sqrt(22500 μm))

Calculating the z-score:

z = (1500 - 1050) / sqrt(22500)

= 450 / 150

= 3

Using the z-score table or a calculator, we can find that the cumulative probability corresponding to z = 3 is approximately 0.9987.

Therefore, the probability that the size of a single droplet is less than 1500 μm is approximately 0.9987.

b. Probability that the size of a single droplet is between 1000 and 1500 μm:

Similar to part (a), we need to calculate the cumulative probability for two values: 1000 μm and 1500 μm. Let's calculate the z-scores for both values:

For 1000 μm:

z_1000 = (1000 - 1050) / sqrt(22500)

For 1500 μm:

z_1500 = (1500 - 1050) / sqrt(22500)

Once we have the z-scores, we can find the corresponding cumulative probabilities using the z-score table or a calculator. Then, we subtract the probability for 1000 μm from the probability for 1500 μm to find the probability between the two values.

c. Characterizing the smallest 2% of all droplets:

To characterize the smallest 2% of droplets, we need to find the droplet size that corresponds to the 2nd percentile of the normal distribution. In other words, we need to find the value x such that the cumulative probability up to x is 0.02. We can use the z-score formula to solve for x:

z = (x - μ) / σ

We'll find the z-score corresponding to the cumulative probability 0.02 using the z-score table or a calculator. Then, we can rearrange the formula to solve for x:

x = z * σ + μ

d. Probability that at least one of five independently selected droplets exceeds 1500 μm:

To find this probability, we'll use the complement rule. The probability that none of the five droplets exceed 1500 μm is the complement of the probability that at least one of them exceeds 1500 μm. We can calculate this probability by subtracting the probability of none from 1. We'll use the probability obtained in part (a) for a single droplet.

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To evaluate sin(α + β) given sin(α) = 3/5 and cos(β) = 2/7, where α is in Quadrant II and β is in Quadrant IV, we can use the trigonometric identities and the given information to find the value.

By using the Pythagorean identity and the properties of sine and cosine functions, we can determine the value of sin(α + β) and conclude whether it is positive or negative based on the quadrant restrictions.

Since sin(α) = 3/5 and α is in Quadrant II, we know that sin(α) is positive. Using the Pythagorean identity, we can find cos(α) as cos(α) = √(1 - sin^2(α)) = √(1 - (3/5)^2) = √(1 - 9/25) = √(16/25) = 4/5. Since cos(β) = 2/7 and β is in Quadrant IV, cos(β) is positive.

To evaluate sin(α + β), we can use the formula sin(α + β) = sin(α)cos(β) + cos(α)sin(β). Substituting the given values, we have sin(α + β) = (3/5)(2/7) + (4/5)(-√(1 - (2/7)^2)). By simplifying this expression, we can find the exact value of sin(α + β).

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Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

Measure of segment DC is 24

Measure of segment C'B' is 16

Measure of segment AD is 10

Measure of segment A'B' is 7

Measure of angle C is 49 degrees

Measure of angle A' is 111 degrees

Measure of angle D' is 65 degrees

Measure of angle B' is 135 degrees

Measure of angle A is 111 degrees

To determine the measures, we need to know the properties of parallelograms, we have;

We have that the two parallelograms are equal

Now, trace the angles from one to other

Angle A = 360 - (49 + 135 + 65)

add the values, we have;

Angle A = 360 -249

Angle A =111 degrees

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Answer: 110

Step-by-step explanation:

I guessed

Answer:

I remember this when I was in grade 5 the answer is 250 now I am in college

A buffer solution is a solution that resists alterations in pH when a small amount of acid or base is introduced to the solution. Option d is correct.
 

Buffer solutions are critical in maintaining the correct pH for enzymes in a cell to function efficiently. Buffer solutions consist of a weak acid and its conjugate base or a weak base and its conjugate acid. The buffer solution's conjugate base or conjugate acid neutralizes any acid or base that enters the solution. A buffer solution is a solution that maintains a stable pH level by neutralizing any additional acid or base that is introduced to the solution.

The following is a list of pairs of substances, one of which is not a buffer system:KH2PO4, K2HPO4CH3NH2, CH3NH3ClH2CO3, NaHCO3HOBr, KOBrHBr, KBrThe correct answer to the question "Of the following pairs of substances.

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Answer:

\(a=x\\\\b = 0\)

Step by step explanation:

\(x = a - \sqrt b~~~~~~~~~~...(i)\\\\x = a + \sqrt b ~~~~~~~~~~...(ii)\\\\\text{From eq (i) and eq (ii),}\\\\~~~~a - \sqrt b = a+ \sqrt b\\\\\implies \sqrt b + \sqrt b = a-a \\\\\implies 2 \sqrt b = 0\\\\\implies \sqrt b = 0\\\\\implies b = 0\\\\\text{Substitute b = 0 in eq (i):}\\\\~~~~~~x = a- \sqrt {0}\\\\\implies x = a -0\\\\\implies x = a\\\\\implies a = x\\\)

According to the given statement the correct option is: D.

Domain, nonnegative values; range, values greater than 3.

The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.

f(x) = 3x + 3

where f(x) is the plant's height and x is the passage of time.

The set of input values is known as the domain and the collection of output values is known as the range.

Because the value of time cannot be negative, the domain has non-negative values.

The lowest possible value of x is 0. Replace x=0 in the provided function.

f(x) = 3x + 3

f(0) = 3(0) + 3

     = 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.

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I understand that the question you are looking for is:

Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly

a. Domain, nonnegative values; range, nonnegative values

b. Domain, nonnegative values; range, values greater than −1

c. Domain, nonnegative values; range, values less than −1

d. Domain, nonnegative values; range, values greater than 3

The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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The probability that you do not roll doubles on the first toss, but you do on the second toss  = 13.89%.

Chance is the study of numerical representations of the probability that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 1 generally signifying certainty and 0 generally signifying impossibility.

The chances of rolling doubles are 6 out of 36.

The probability is equal to the number of likely outcomes divided by the total number of outcomes:

According to complement rule:

P( not A)=1−P(A)

Then we obtain:

P( not doubles) = 1 - (1/6)

                          = (5/6)

Using Multiplication rule:

P(A∩B)=P(A)×P(B)

Then we obtain:

P(Doubles on second toss) = P( not doubles)×P( doubles)

                                             = (5/6) * (1/6)

                                              = \(\frac{5}{36}\)

                                               = 13.89%

The probability that you do not roll doubles on the first toss, but you do on the second toss  = 13.89%.

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I understand that the question you are looking for is:

You are tossing a pair of fair, six-sided dice in a board game. Tosses are independent. You land in a danger zone that requires you to roll doubles (both faces showing the same number of spots) before you are allowed to play again. How long will you wait to play again? What is the probability that you do not roll doubles on the first toss, but you do on the second toss?

Answer: Temperature is proportional to Pressure

Step-by-step explanation:

As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands), and the temperature decreases.

Basically, if you increase the pressure, the temperature increases too, and vice versa

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:

\((2, \frac{7}{2} )\)

Step-by-step explanation:

The midpoint between two points is:

\((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (1,6) and (3,1)

\(= (\frac{1+3}{2} , \frac{6+1}{2} )\\= (\frac{4}{2} , \frac{7}{2} )\\= (2, \frac{7}{2} )\)

Therefore, the midpoint between (1,6) and (3,1) is \((2, \frac{7}{2} )\).

I hope this helps!