SSS (Side-Side-Side) , SAS (Side-Angle-Side) , ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side) are the four postulates that defines the Congruency of a triangle.
What is Congruence of triangles ?
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is’ ≅’.
In Mathematics , Four postulates are defined in order to judge the congruency of a triangle , they are as followed :
SSS which stands for (Side-Side-Side) : when all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.SAS which stands for (Side-Angle-Side) : when any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle.ASA which stands for (Angle-Side-Angle) : when any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.AAS which stands for (Angle-Angle-Side) : When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.Learn more about Congruence of triangles at:
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a = 5, c = 30 what is b square
Answer:
25 it's easy as 123 ABC 123 abc
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?.
The rate of change of y with respect to x is the slope of the line which is 2.
To find the slope of a line, you can use the following formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
For example, if the table shows the following values for x and y:
[tex]\boxed{x | y}\\\boxed{0 | 0}\\\boxed{2 | 4}\\\boxed{4 | 8}[/tex]
The slope of the line can be calculated by finding the difference in the y-values between two points and dividing it by the difference in the x-values between those same two points. For example, the slope between the points (0,0) and (2,4) would be calculated as follows:
slope = (4 - 0)/(2 - 0) = 4/2 = 2
Therefore, the rate of change of y with respect to x is 2.
The slope of a line represents the rate of change of one variable (y) with respect to another variable (x). In other words, it tells us how much y changes for every unit change in x. In this case, the slope of the line is 2, which means that for every unit increase in x, y increases by 2 units. This is a linear relationship because the slope is constant, meaning that the rate of change is always the same.
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I need helping finding the length and width of this shape the area is 183.65sqft ? Please help thank you.
Answer:
Below
Step-by-step explanation:
TOTAL AREA of circle with 15' radius = pi r^2 = 706.9 ft^2
this is a fraction of the total 360 degrees of the circle
x/360 = 183.65 /706.9
x = 93.5 ° or 1.63 Radians is the central arc angle
1. The product of 6, and a number increased by 2, is -24. What is the number?
Answer:
Step-by-step explanation: 6* (N + 6) = -24
6*n + 6*6=-24
6n+36=-24
-36 -24
6n=-60
n=-10
Determine the period.
X is 10
Y is 1
Answer:
9
Step-by-step explanation:
The top of the slope starts at 1, and it repeats at 9
2.5x−20 when X = 15?
Answer:
17.5
Step-by-step explanation:
Since X is right next to 2.5 and x =15 2.5x15=37.5 and then you subtract 20
Answer:
x = 30/11 = 2 8/11 is approximate 2.727
Step-by-step explanation:
hope this helped:)
What is the relationship between a function and its
inverse?
A function is a group of components or inputs that have a relationship and produce an outcome. A function's inverse is the function's opposite. When a function's inverse is applied, its domain changes to its range, and conversely.
What is a function?The core of calculus in math is the concept of functions. The unique types of connections are the ones with functions. Mathematical functions are represented as a rule that, for each input x, produces a distinct result.
As per the question, the relationship between a function and its inverse will be:
1. A group of elements or inputs that are related to one another and produce an output is referred to as a function.
2. A function's reverse is called a function's inverse.
3. When a function is inverse, the domain becomes the range, and vice versa.
4. The graphs of the two concepts—function and inverse—will resemble one another in reverse.
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Use the situation to answer the questions.
Latisha has a new job that pays her weekly. She has arranged for the same amount from
each paycheck to be deposited into her savings account. On week 9, her savings account
has a balance of $496, and on week 16, her savings account has a balance of $664.
6) What does the independent variable x represent in this problem?
7) What does the dependent variable y represent in this problem?
The independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.
What is the independent and dependent variable?
In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent, by some law or rule, on the values of other variables.
We have,
On week 9, her savings account has a balance of $496,
on week 16, her savings account has a balance of $664.
The equation which represents the situation is:
consider x for the initial amount in the account and y for the weekly deposited amount into her savings account.
so,
x + 9y = $496,
x + 16y = $664.
Hence, the independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.
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How many terms are there in the expression x³ 4x² 7x − 2 *?
The provided phrase, x3+4x2+ 7x+ â' 2 has four terms.
What does the phrase mean?Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.
What kind of phrase would that be?A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.
The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.
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Х
15
9
18
9
y
17
9
4
Is this relation a function?
yes
no
A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?
ANSWER: cluster sampling
The answer is random sampling in my thinking.
please mark me brainliest<3
For what value of A is x 4 a factor of 5x³ 7x² ax 28?
On solving the provided question, we can say that - equation [tex]5x^3 + 7x^2+ax = 28[/tex] at x= 4 that value of a is = - 101
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
[tex]5x^3 + 7x^2+ax = 28\\5(4)^3 + 7(4)^2 + 4a = 28[/tex]
a= -404/4
a = -101
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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling
The judgement sampling is a non probability that the researcher selects units to be sampled based on his own knowledge and professional judgement. Here the probability is not a factor.
The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.
Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement
Therefore, the sampling method is judgement sampling
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What are the 4 types of roots math?
The types of roots in math are known as real roots , imaginary roots or repeated roots.
roots > 0 imaginary
roots < 0 real
roots = 0 repeated
When the roots are bigger than zero, they are referred to as real roots. When the value of the obtained roots is less than zero, the obtained roots are referred to be not real or imaginary roots.
When the sum of the obtained roots equals zero, we conclude that the roots are repeated.
In order to find the roots of a equation we can plot them on a graph and the solve them or we can factorize the given equation. We can also use the formula to calculate graph using determinant method.
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David runs the music-streaming service Absolute Audio. Since upgrading his app last year, David has steadily gained subscribers.
This situation can be modeled as a linear relationship.
What does the slope of the line tell you about the situation?
A. david had 350 subscribers 6 months aafter upgrading the app
B. david gained 100 subscribers every 3 months
C. david gained 150 subscribers every 3 months
D. david had 150 subcribers when he upgrading the app
Answer: B. David gained 100 subscribers every 3 months.
Step-by-step explanation:
The slope of the line shows us the change. First, we will need to find the slope. We will use "rise over run" to do this, resulting in a slope of 100/3. This represents 100 subscribers every three months leading us to answer option B;
B. david gained 100 subscribers every 3 months
What are the solutions of x2 4x 7 0?
Answer: Solving x2 - 4x - 7 = 0 by completing the square, the solutions are x = ±√11 + 2.
Step-by-step explanation:
How did you know that ordered pair satisfies the linear inequality in two variables?
Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.
What do you mean by a ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
What is linear inequality?When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.
ordered pair=(1,2)
linear inequality equation,
[tex]4x_{1}-x_{2} > 0[/tex]
using value from ordered pair,
[tex]4*1 - 2 > 0[/tex]
[tex]2 > 0[/tex]
which is true. That is it satisfies the given linear inequality.
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Determine the frequency of each class in the table shown. Number of Candles in a Glass Jar Class Frequency 1003 1062 1063 1122 1123 1182 1183 1242 1243 1302 1303 1362
The frequency of a class is the number of data points that fall within the class is 1.
To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.
For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.
For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.
For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.
For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.
For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.
For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.
For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.
For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.
For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.
For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.
For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.
For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.
Therefore, the frequency of each class in the table shown is 1.
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The price of a commodity was increased in the ratio 5:4. After one month the same commodity was reduced in the ratio 7:8 to attract more customers. If the new price is sh35 calculate the price of the commodity before the increase
Answer:
sh. 32
Step-by-step explanation:
Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.
Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.
A 12-ounce bottle of shampoo lasts Erique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
Answer: 24 weeks
Step-by-step explanation:
Take 12 divided by 16 = 0.75 ounce per week
Then take 18 divided by 0.75 = 24 weeks
What is the median of 1 2 3 4?
The median number of 1 2 3 4 is 2.5
The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.
The number given is 1 2 3 4
We have to determine the median of the above number.
If the number of words is even, we must add two middle terms and divide the result by two. The median is what we obtain as a mean.
Substitute the value in above equation we get,
=(2+3)/2
Adding the two number we get,
=5/2
Now dividing 5 by 2 we get,
2.5
Median=2.5
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Use the half-angle formulas to determine the exact values of the sine, cosine,
and tangent of the angle. 7π/8
The exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
What is half angle identities?
In trigonometry, the half-angle formula is used to calculate the precise values of trigonometric ratios of angles like 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. The half angle is represented by θ/2 if is an angle.
Let the given angle is θ = 7π/8.
We have to find the exact values of the sine, cosine and tangent angles using half angle formulas.
Consider, the half angle formula for sine,
sin(θ/2) = ± √((1 - cosθ) / 2)
sin((7π/8)/2) = ±√((1 - cos(7π/8)/2)
sin((7π/8)/2) = ±0.98078°
Now consider the half angle formula for cosine,
cos(θ/2) = ± √(1 + cosθ)/2
cos((7π/8)/2) = ± √(1 + cos(7π/8)/2)
cos((7π/8)/2) = ±0.19509°
Now consider the half angle formula for tangent,
tan(θ/2) = ± √((1 - cosθ)/(1 + cosθ))
tan(7π/8) = ± √((1 - cos(7π/8))/(1 + cos(7π/8)))
tan(7π/8) = ± 5.02733°
Hence, the exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
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What is the requirements for SSS update status?
Without going to an SSS branch, members of SSS can update or amend their contact information, including their phone number, cell number, postal address, overseas address, and email address.
A passport Member's copy of Personal Records (SS Forms E-1, RS-1, OW-1, and NW-1) lawfully received by the SSS where the proper sex is specified is a needed document. If the sex on the birth certificate is entered incorrectly or if a birth certificate correction petition is lodged, the court will allow the petition.
Application Conditions
An application for a member loan.
E-6 (acknowledgement stub) with any two legitimate IDs, one of which has a current photo, or SSS digital ID. valid driving license. ID card from the Professional Regulation Commission (PRC). Passport. a postal ID. ID from a company or school. TIN card: a tax identification number.
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100 POINTS PLEASE HELP BRAINLIEST
Answer:
D because it is a increase in liability and the increase in the lability is always credited so it is posted in the T account.
How do you factor 7th grade math?
Therefore , the factor of the 7th grade math equation 3x + 6 are
3 and (x + 2)
What is equation?The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.
A number that can be entered as the variable's replacement in an equation serves as the solution.
Here,
The seventh grade can be viewed as the following:
to produce 3x + 6
Put each term in writing as the outcome of irreducible factors:
3x = 3 × x
6 = 2 × 3
(3 × x) + (2 × 3) = 3x + 6
Three is a common element in the previous two words.
According to the distributive property, 3 x (plus 2) equals 3 x + 2 x 3.
Therefore, 3x + 6 equals 3(x + 2), where 3 and (x + 2) are the variables that make up 3x + 6, and these factors cannot be further divided.
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ignore my writing :)
Answer:
Below
Step-by-step explanation:
In a RIGHT triangle, sin (angle ) = opposite leg/ hypotenuse
sooooo sin (x) = 7.1/8.5
sin (x) = .835
x = arcsin (.835) = 56.6°
How do you make a 4 quadrant line graph in Excel?
You can also manually convert a scatter plot to a four-quadrant graph
First, delete the trend line from your scatter diagram.
When does a graph represents a function?
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
How do you make a 4 quadrant line graph in Excel?
You can also manually convert a scatter plot to a four-quadrant graph
First, delete the trend line from your scatter diagram.
Second, reformat your X-Axis. ...
Third, reformat your Y-Axis. ...
Once you have updated both the X and Y Axis Values, you should have a XY Scatter Diagram with Four Quadrants
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What are the vertical and horizontal asymptotes for the function f/x )= x2 x 6 x 3 1?
The function given by the question, [tex]f(x) = \frac{x^{2} }{6x+31}[/tex] , the vertical asymptote will be at x = -31/6 and there will be no horizontal asymptote.
What is horizontal asymptote?A horizontal asymptote is a line that guides the graph of a function for x-values that are "far" to the right or left but not on the graph itself. The graph might cross it, but ultimately, for sufficiently big or sufficiently low values of x, the graph would approach the asymptote without hitting it. A slant asymptote has a specific instance known as a horizontal asymptote.
What is vertical asymptote?A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.
Solve 6x + 31 = 0 for x to obtain the vertical asymptotes of the function x2/(6x+31). The vertical asymptote is x = -31/6 because x = -31/6 is the solution. Because the degree of the numerator is larger than the degree of the denominator by 2, the function has no horizontal asymptotes (1).
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They were so delighted with the song that they sang it right through five times in succession, and might have continued singing it all night if they had not been interrupted. Unfortunately, the uproar awoke mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly. Which historical event is this passage most reminiscent of?.
According to the passage, the historical event that is most reminiscent of this is Bloody Sunday. Thus, the correct option for this question is A.
Reminiscent experiences are ones that one should keep in mind from the past and are frequently recorded in books. It symbolizes the feeling of recollections of something similar coming back.
The song that they sang five times in a row creates a sensation of joy, according to the context of this inquiry. But regrettably, the commotion roused Mr. Jones, who sprang out of bed and checked to see whether there was a fox in the yard. The historical occurrence that most closely resembles this is Bloody Sunday.
Therefore, the historical event that is most reminiscent of this is Bloody Sunday.
Complete question:
They were so delighted with the song that they sang it right through five times in succession and might have continued singing it all night if they had not been interrupted, Unfortunately, the uproar awoke Mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of Number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly.
Which historical event is this passage most reminiscent of?
A-Bloody Sunday
B-the Bolshevik Revolution
C- the rise of Lenin
D-collectivization
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The paragraph claims that Bloody Sunday is the historical occurrence that most closely resembles this one. As a result, choice A is the right response to this query.
Reminiscent experiences are ones from the past that one should remember and are usually written about in novels. It represents the sensation of memories of something similar returning.
According to the setting of this enquiry, the song that they sang five times in a row induces feelings of delight. Unfortunately, the noise woke up Mr. Jones, who quickly got out of bed to investigate if there was a fox in the yard. Bloody Sunday is the historical episode that most closely approaches this.
Bloody Sunday is the historical occurrence that most closely resembles this now.
Which historical event is this passage most reminiscent of?
A-Bloody Sunday
B-the Bolshevik Revolution
C- the rise of Lenin
D-collectivization
Is 4th root a function?
Answer:
yes
Step-by-step explanation:
It is! A function is defined as an operation that when given a number, it returns a unique number back. The 4th root satisfies this, so it is a function!
hope this helps :)