Answers
To identify a segment congruent to segment AB based on the scenarios provided, one should look for shared lengths or properties of geometric figures that indicate congruence such as equal markings or vector properties.
Explanation:The question appears to be discussing congruent segments within geometrical diagrams, likely in the context of triangles or vectors. In geometric terms, congruent segments are segments that have the same length. From the information provided, several scenarios involving congruent segments are described. For example, when two triangles within different mediums share a segment, such as AB', or when judgment is required to determine congruence, as in Asch's conformity study.
In order to determine which segment is congruent to segment AB without the accompanying diagram, one would need to look for indications of shared lengths, parallel lines, or properties of similar triangles or figures. Typically, one would look for notation such as 'equals' marks on the segments or use the properties of the specific geometric shapes given (like the properties of triangles or the rules pertaining to vectors) to identify congruent segments.
In the diagram, segment AB is congruent to the segment on the surface AB' which is shared by both the triangle ABB' and AA'B'.
Explanation:In the given diagram, segment AB is congruent to the segment on the surface AB', which is shared by both the triangle ABB' inside medium 1 and the triangle AA'B' inside medium 2. This is because the angles
Related Questions
Which equation can be rewritten as x + 4 = x2? Assume x > 0
A.[tex] \sqrt{x^2}+2+x[/tex]
B.[tex] \sqrt{x+2} =x[tex] C.\sqrt{x+4}=x [/tex][/tex]
D.[tex] \sqrt{x^2+16}=x [/tex]
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If we square both sides of the equation, we can rid of the exponent on the right side and add a square root to x + 4
The equation can be written as x+4=x^2 is \sqrt{x+4} =x, where x>0.
[tex]\sqrt{x+4} =x[/tex]
If we square both sides of the equation
We can rid of the exponent on the right side and add a square root to
x + 4.
[tex]\sqrt{x+4}=x[/tex]
Squaring on both sides we have,
What is the square root?The square root of a number is that factor of a number that when multiplied by itself gives the original number.
[tex](\sqrt{x+4}})^2=x^2[/tex]
x+4=x^2
Therefore, The equation can be rewritten as x + 4 = x^2.
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The product of 9 and a number t
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Answer: 9t
Write any Quetion of the line and soap intercept form that passes through (-2,4) and has a slope of 4
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y-4= 4(x-(-2))
y-4= 4x+8
y= 4x+12
Final answer: y=4x+12
What is the units digit of 8 to the 97th? (no using a calculator)
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8 divided by 97 equals 0.082
I stopped after getting the 2, so not sure what the next number would've been
( I didn't use a calculator)
The standard deviation is the average distance of each score in a distribution from the
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Can there be more than one mean or mode in a math problem??
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Final answer:
In mathematics, while a data set can have more than one mode if multiple values share the highest frequency, there is usually only one mean. The mode refers to the most common value, and the mean is the arithmetic average. Statistical tools often help calculate these measures of center.
Explanation:
Yes, there can be more than one mean or mode in a math problem. The mode is the most frequently occurring value in a data set, and a data set can have multiple modes if there are several values with the same highest frequency. When a data set has two modes, it is known as bimodal. In contrast, while there can be more than one solution to an equation (such as in quadratic equations), there is typically only one mean for a given data set. The mean is calculated by adding all the values together and dividing by the number of values. However, the mean can be influenced by skewed data or outliers more than the median or mode.
The measures of center like mean, median, and mode are critical in statistics for summarizing data. They provide different perspectives on the central tendency of the data. The mean is the arithmetic average, the median is the middle value when the data set is ordered, and the mode shows the most frequently occurring value(s). In analyzing data, statistical software or graphing calculators are often used to efficiently calculate these measures of center.
When considering the relationship between the shape of a distribution and the measures of center, typically, the mean is most affected by skewness and outliers. A skewed distribution will pull the mean toward the long tail while the median tends to resist the influence of outliers and skewed data. Mode, being the most frequent value, doesn't necessarily indicate skewness but can reveal frequency patterns within the data set.
PLZ HELP!!!! WILL GIVE BRAINLIEST!!! @YOLOSWAGGS51 I REALLY NEED YOUR HELP!!!!
What is the value of x?
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well we have to add first
x=1 + 10= 11 since there is parenthesis around the "11" it is times 11 x 2 = 22
we will just have to times this and put a - in front of the 90 (3x - 30) = -90
Hope I could help out.
What is the first step in solving 4x -3 = 9
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Our goal is to isolate x and we first want to make sure that the term with x is the only one on its side of the equation. From there, you can determine the value of 1x by dividing all terms by 4
The next number in the sequence -5, -2, 4, 13 is 25. is this conjecture true or false? math
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-5 + 3 = -2
-2 + 6 = 4
4 + 9 = 13
13 + 12 = 25....this conjecture is true. There is a pattern....+ 3 + 6 + 9 + 12...for the next term, u would add 15...ur just adding multiples of 3
The conjecture is true; by determining the pattern of increasing differences between consecutive numbers (increasing by 3), we can conclude that adding 12 to the last number, 13, gives us the next number in the sequence, which is 25.
The conjecture that the next number in the sequence -5, -2, 4, 13 is 25 can be tested by looking at the pattern of how the numbers are increasing. To do this, let's look at the differences between the numbers:
-2 - (-5) = 34 - (-2) = 613 - 4 = 9We see that the differences between the numbers are increasing by 3 each time (3, 6, 9). Therefore, if we continue this pattern, the next difference should be 9 + 3 = 12. If we add 12 to the last number in the sequence, 13, we get:
13 + 12 = 25
Therefore, the conjecture is true. The next number in the sequence is indeed 25.
Which two temperatures have a sum of 0 degrees Celsius?
2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 2 degrees Celsius
−2 degrees Celsius and −2 degrees Celsius
2 degrees Celsius and 0 degrees Celsius
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2+(-2)=0
2+2=4
-2+(-2)=-4
2+0=2
Flip a fair coin 25 times. what is the size of the sample space? that is, how many different sequences of heads and tails are possible? what is the probability of each one of those possible outcomes?
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Sally has a credit card balance of $10,000. The credit card company charges a nominal interest rate of 17 percent a year on unpaid balances. The inflation rate is 9 percent a year. Calculate the real interest rate that Sally pays the credit card company. The real interest rate that Sally pays the credit card company is _______ percent a year.
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real interest rate=(nominal rate - inflation)/(1 + inflation)
Here:
[tex]i=\frac{.17-.09}{1+.09}[/tex]
The real interest rate that Sally pays the credit card company is 8% a year.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Balance = $10,000
Interest rate = 17 percent
Now,
The real interest rate is the interest rate that has been adjusted to remove the effects of inflation. According to 1, it can be calculated as:
Real interest rate = nominal interest rate - inflation rate
In this case, the nominal interest rate is 17% and the inflation rate is 9%. Plugging these values into the formula, we get:
Real interest rate = 17% - 9%
Real interest rate = 8%
Therefore, by the given interest the answer will be 8% a year.
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Simplify.
73+3(23−13)2
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73+3(10)2
3(10)=30
73+30 x 2
30 x 2 = 60
60 +73 = 133
The value of the given expression is 133.
What is simplification?Simplification involves taking complicated mathematical expressions and simplifying them. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression 73+3(23−13)2 is termed as E and will be solved as below:-
Use the concept of PEMDAS. Here, the PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
E = 73+3(23−13)2
E = 73 + 3 ( 10 ) 2
E = 73 + 6 ( 10 )
E = 73 + 60
E = 133
Therefore, the value of the given expression is 133.
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Solve the system using elimination. 5x = –25 + 5y 10y = 42 + 2x
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10y = 42 + 2x ---> 2x - 10y = -42 (2)
divide equation (2) by 2
so
x - 5y = -21
now you have
5x - 5y = -25
x - 5y = -21
-----------------subtract
4x = -4
x = -1
substitute x = -1 into 5x - 5y = -25
5x - 5y = -25
5(-1) - 5y = -25
-5 - 5y = -25
-5y = -20
y = 4
answer
(-1 , 4)
To solve the given system of equations using elimination, multiply the first equation by 2 to make the coefficients of 'x' the same in both equations. Then solve for 'x' and substitute the value into the first equation to solve for 'y'. The solution is x = -8 and y = -11.
Explanation:To solve the given system of equations using elimination, first multiply the first equation by 2 to make the coefficients of 'x' the same in both equations.
10x = -50 + 10y
Next, subtract the equation obtained in step 1 from the second equation.
10y = 42 + 2x - (-50 + 10y)
Simplify the equation and solve for 'x'.
x = -8
Substitute the value of 'x' into the first equation to solve for 'y'.
5(-8) = -25 + 5y
y = -11
Therefore, the solution to the system of equations is x = -8 and y = -11.
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Simplify x + 15 - 4.
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Answer:
[tex]x+11[/tex]
Step-by-step explanation:
In order to simplify this:
[tex]x+15-4[/tex]
You just need to substract like terms:
[tex]15-4=11[/tex]
Hence, the simplified is expression is:
[tex]x+11[/tex]
This represents a line which intercepts with the y-axis at 11 and with the x-axis at -11. I attached you the graph.
The simplified form of the expression is x + 11.
How do we simplify the expression?To simplify the expression "x + 15 - 4", you just need to do the addition and subtraction operation:
x + 15 - 4 = x + 11
Simplifying an expression means to make it as easy to understand as possible. This can involve combining like terms, removing unnecessary parentheses, and using the distributive property.
In the expression x + 15 - 4, the like terms are x and 15. These terms can be combined to give x + 11. The parentheses around the 15 are unnecessary, so they can be removed. The simplified expression is x + 11.
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prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.
pls include full proof tysm!!
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Let's find a^2 and b^2 by squaring the first 2 side lengths.
(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2
Then add the two to find c^2
x^4+ 2x^2 +1= c^2
Root both sides
x^2+1=c
Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
A triangle with sides of lengths x^2-1, 2x, and x^2+1 is a right triangle as confirmed by the Pythagorean theorem. By squaring these lengths and simplifying the resulting equation, it's shown that the squares of the lengths of the two shorter sides sum up to the square of the length of the longest side.
Explanation:To prove that a triangle with sides of lengths x^2-1, 2x, and x^2+1 is a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Therefore, if x^2-1 and 2x are two sides of the triangle and x^2+1 is the hypotenuse, then the equation becomes:
(x^2-1)^2 + (2x)^2 = (x^2+1)^2
If this equation is true, then we have a right triangle. Let's simplify the equation:
x^4 - 2x^2 + 1 + 4x^2 = x^4 + 2x^2 + 1
After simplifying, we get that 2x^2 equals 2x^2, which confirms that we indeed have a right triangle.
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If a trend line has a slope of -3, what is true about the data? Select all that apply.
Both sets of data are increasing.
One set of data is increasing, while one is decreasing.
The data is going up from left to right.
The data is going down from left to right.
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A negative slope indicates that the line moves downward as you move from left to right. As x increases, y decreases (and vice versa). There's this opposite relationship going on.
Sove each problem and write your answers in scientific notation. 1. (6.0 x 10^5) x (3.0 x 10^4) =
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1.848*10^6
If you wanna convert it to SN then, 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 wil be positive. Again, ANSWER IS 1.848*10^6.
Hope this helped! :D
Find the coordinates of point p that partition AB in the ratio 2:3 where A (-8,13) and B (2,-2)
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[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(-8,13)\qquad B(2,-2)\qquad \qquad 2:3\textit{ from A to B} \\\\\\ \cfrac{AP}{PB} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,13)=2(2,-2)\\\\ -------------------------------\\\\ { P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------[/tex]
[tex]\bf P=\left(\cfrac{(3\cdot -8)+(2\cdot 2)}{2+3}\quad ,\quad \cfrac{(3\cdot 13)+(2\cdot -2)}{2+3}\right) \\\\\\ P=\left(\cfrac{-24+4}{5}~,~\cfrac{39-2}{5} \right)[/tex]
How did world war 2 start
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The German invasion of Poland on September 1st 1939 caused Britain to declare war on Germany two days later, starting the war.
Evaluate |a| - |b|, given a = 5, b = -3, and c = -2.
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Answer:
The answer is 2.
Step-by-step explanation:
In order to determine the value of the expression, we have to know about absolute value function.
The absolute value function is a function that only change the sign into positive and maintain the values. It is represented by " | x | " where x can be any number.
For example, if [tex]x=-2[/tex]
[tex]|x|=|(-2)|=2[/tex]
In this case, we have the next values:
[tex]a=5\\b=-3\\\\|a|-|b|\\|5|-|(-3)|\\5-3\\2[/tex]
Finally, the value of the expression is 2.
If 23 people shake each others hands once how many hands are shook in all
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23C2 = 23! / 2! 21!
A quick way to do this is 23*22 / 2 = 253
Dwayne has $5.00 kendra has 1/10 as much money as dwayne juan has 1/10 as much money as kendra tom has 10 times as much money as dwayne and ruth as 10 times as much money as tom
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Dwayne money = $5
Kendra money= 1/10 Dwayne money= 1/10 x $5= $0.5
Juan money= 1/10 Kendra money = 1/10 x $0.5= $0.05
Tom money = 10 x Dwayne money = 10 x $5 = $50
Ruth money = 10 x Tom money = 10 x $50= $500
Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
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Answer:
50%
Step-by-step explanation:
The next table display all possible outcomes.
penny | dime
head | head
head | tail
tail | head
tail | tail
If each single outcome is equally likely and there are 4 options , then all outcomes has a probability of 1/4 = 0.25 or 25%. The probability of getting one head and one tail is 50% because it's obtained by two outcomes.
Counting significant digits when measurements are multiplied or divided calculator
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Translate
the quotient of y and two is equal to eight subtracted from twice y
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y/2 (sorry, the variable thing doesn't work)
Then we know there is an equal mark and the other equation would be 2y-8 because y is multiplied two times and it is subtracted by eight. And then it says it is equal to, so we hate the final equation: y/2=2y-8.
Thank you for the points! Hope I helped!
The store sold fewer blue jeans after the new pants became popular
Month Sales
1 7360
2 3680
3 1840
4 920
5 ?
Predict the number of sales in month 5
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7360/3680 = 2
3680/1840 = 2
920/2= 460
month 5 sales will be 460
Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .
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the neighboor's age is at most, 5 years
and victoria is 9 at most
What is the product? (X-3)(2x^2-5x+1)
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Answer:
[tex]2x^3-11x^2+16x-3[/tex]
Step-by-step explanation:
We have been given an expression [tex](x-3)(2x^2-5x+1)[/tex]. We are asked to find the product of our given expression.
Upon using distributive property, we will get:
[tex]x(2x^2-5x+1)-3(2x^2-5x+1)[/tex]
[tex]x*2x^2-x*5x+x*1-3*2x^2-3*-5x-3*1[/tex]
[tex]2x^3-5x^2+x-6x^2+15x-3[/tex]
Upon combining like terms, we will get:
[tex]2x^3-5x^2-6x^2+15x+x-3[/tex]
[tex]2x^3-11x^2+16x-3[/tex]
Therefore, the product of our given expression would be [tex]2x^3-11x^2+16x-3[/tex].
How do you solve this?