Which statement must be true if ARST = AXYZ?
OA LT = LX
OB. RS=XY
OC. RT = XY
OD. ZS = LX
Answers
RS = XY ,Because ΔRST & ΔXYZ are congruent .option c is correct .
What does the word "congruent" signify in mathematics?
If one of the geometric figures can be superimposed on the other so that their entire surface coincides, then the two are said to be congruent, or to be in the relation of congruence.SSS (three sides the same), RHS (right-angled triangle, hypotenuse, and a side the same), ASA or AAS (two angles and a side the same), and SAS are examples of similar triangle shapes (side-angle-side, two sides and the included angle the same).Are cogent means equivalent?
If and only if the measurements of two angles are equivalent, they are congruent. If and only if the two segments have equal measurements, they are congruent. A pair of triangles are identical if and only if their corresponding angles and sides are identical.In ΔRST & ΔXYZ are congruent so, ΔRST ≅ ΔXYZ
RS = XY Because ΔRST ≅ ΔXYZ .
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Related Questions
Instruction: State whether the data are symmetrical, skewed to the left, or skewed to the right:a.1; 1; 1; 2; 2; 2; 2; 3; 3; 3; 3; 3; 3; 3; 3; 4; 4; 4; 5; 5b.16; 17; 19; 22; 22; 22; 22; 22; 23c.87; 87; 87; 87; 87; 88; 89; 89; 90; 91
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Based on the data in question a, the graph for the data is skewed to the left. This can be graphed and seen visually but also by calculating the mean and the median of the data set. The mean of the data is 2.85 and the median is 3. Since the mean is less than the median, we can see that the data is negatively skewed, or skewed to the left.
I need some help with this problem. Thanks.
Answers
Answer:
Natural:G
Whole number: B
Integer: H,D,J
Rational: A,F,E,I
Irrational: C,K
Step-by-step explanation:
A college student completed some courses worth 6 credits and some courses worth 4 credits. The student earned a total of 104 credits after completing 21 courses.How many courses worth 4 credits did the student complete?A. 11B. 26C. 13 D. 10
Answers
Let x be the number of four credit courses and let y be the number of six credit courses.
We know that the student have completed 21 courses, this means that:
[tex]x+y=21[/tex]We also know that he has 104 credits in total. This means that:
[tex]4x+6y=104[/tex]Then we have the system of equations:
[tex]\begin{gathered} x+y=21 \\ 4x+6y=104 \end{gathered}[/tex]To solve the system we solve the first equation for y and plug the value in the second one. That is:
[tex]y=21-x[/tex][tex]\begin{gathered} 4x+6(21-x)=104 \\ 4x+126-6x=104 \\ -2x=104-126 \\ -2x=-22 \\ x=\frac{-22}{-2} \\ x=11 \end{gathered}[/tex]Therefore, the student has taken 11 four credit courses.
An ice cream shop owner's business assets and liabilities are listed below. Owned Inventory $32,500 Cash $75,420 Building Mortgage $154,265 Savings Account $25,000 Owned Equipment $15,670 Small Business Loan $15,652 Other Debt $1,235 Accounts Receivable $12,540 Property Value $125,768 What is the total value of the ice cream shop owner's business assets? $125,768 $171,152 $274,358 $286,898
Answers
The total value of the ice cream shop owner's business assets is D. $286,898.
What are business assets?Business assets are the value of the assets of the Ice Cream Shop.
Business assets are distinct from the owner's assets.
The business assets consist of liabilities (amounts owed outsiders) and equity (the difference between assets and liabilities).
Business Assets:Owned Inventory $32,500
Cash $75,420
Savings Account $25,000
Owned Equipment $15,670
Accounts Receivable $12,540
Property Value $125,768
Total assets = $286,898
Business Liabilities:Small Business Loan $15,652
Other Debt $1,235
Building Mortgage $154,265
Total liabilities = $171,152
Equity = $115,746 ($286,898 - $171,152)
Thus, the business assets for this ice cream shop are worth Option D.
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I need help putting these from greatest to least 20.22.00220.0220
Answers
EXPLANATION:
The correct order is as follows:
2.002
20.2
20.02
20
The previous order is due precisely to the location it would have on the number line, in the case of whole numbers with decimals, the decimals that immediately follow the whole number must be compared to know which is the greater of the two.
For a particular nature trail, the amounts of time that hikers take to walk the trail are normally distributed.The mean of the times is 30.1 minutes,and the standard deviation is 3.6 minutes.For a sample of 4 hikers,what is the probability that the mean time for the sample is less than 28 minutes?
Answers
Let X be the normally distributed random variable representing the time hiker takes to walk the trail.
Given that mean and standard deviation are 30.1 and 3.6 minutes, respectively,
[tex]\begin{gathered} \mu=30.1 \\ \sigma=3.6 \end{gathered}[/tex]The sample size is 4,
[tex]n=4[/tex]The z-score corresponding to any value of 'x' is given by,
[tex]z=\frac{x-\mu}{\sigma}[/tex]So the probability that the mean time for the sample is less than 28 minutes is calculated as,
[tex]\begin{gathered} P(X<28)=P(z<\frac{28-30.1}{3.6}) \\ P(X<28)=P(z<-0.58) \\ P(X<28)=P(z>0.58) \\ P(X<28)=P(z>0)-P(0From the Standard Normal Distribution Table,[tex]\varnothing(0.58)=0.2190[/tex]Substitute the value,
[tex]\begin{gathered} P(X<28)=0.5-0.2190 \\ P(X<28)=0.281 \\ P(X<28)=28.1\text{ percent} \end{gathered}[/tex]Thus, there is approximately 28.1% probability that the mean time for the sample is less than 28 minutes.
help;aaefefdsfsd fnujyhvbnmhgf rfdgtrbtg get it?
Answers
The value of the expression [tex]\frac{-4[5(7-13)-19]}{2(-1)}[/tex] is - 98.
The abbreviation BODMAS rule is used to assist kids to recall the proper order of operations when performing mathematics. Operations are essentially the various mathematic operations we can do on numbers. "Brackets, Order, Division, Multiplication, Addition, Subtraction" is what it stands for.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. 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.
Consider the expression,
[tex]\frac{-4[5(7-13)-19]}{2(-1)}[/tex]
Using the BODMAS rule,
We will first solve the parenthesis.
[tex]\frac{-4[5(7-13)-19]}{2(-1)}=\frac{-4[35-65-19]}{-2}[/tex]
[tex]\frac{-4[5(7-13)-19]}{2(-1)}=\frac{-140+260+76}{-2}[/tex]
Now, the next step is to divide the expression.
[tex]\frac{-4[5(7-13)-19]}{2(-1)}=\frac{-140}{-2}+\frac{260}{-2}+\frac{76}{-2}[/tex]
[tex]\frac{-4[5(7-13)-19]}{2(-1)}=70-130-38[/tex]
Subtracting the expression,
[tex]\frac{-4[5(7-13)-19]}{2(-1)}=-98[/tex]
Hence, the value of the expression is - 98.
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What is the image point of (-2,-3) after a translation right 2 units and up 4 units?
Answers
{x+3y=7 -9x+2y=8 elimination or addition method
Answers
The solution to the system of equations is (-10/29, 71/29).
We are given a system of linear equations in two variables.We have two equations and two variables.The first equation is x+3y = 7.The second equation is -9x+2y = 8.We will use the elimination method to solve the equations.x + 3y = 7-9x + 2y = 8Multiply both sides of the first equation by -9.-9x -27y = -63Subtract this newly generated equation from the second equation.(-9x + 2y) - (-9x -27y) = 8 - (-63)-9x + 2y + 9x + 27y = 8 + 6329y = 71y = 71/29Use this value in the first equation to find the value of "x".x + 3y = 7x + 3(71/29) = 7x + 213/29 = 7x = 7 - (213/29)x = -10/29To learn more about equations, visit :
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Helps ASAP just 6 and 7 please and thank you
Answers
Using a calculator, we calculate the following
[tex]\begin{gathered} 1.41^2=1.9881 \\ 1.42^2=2.0164 \end{gathered}[/tex]Based on these calculations, the square root of 2 is between 1 and 2.
The length of a rectangle is 4ft less than 3 times width. Perimeter is 54 ft. What equation can be used to find the width of the rectangle
(3w-4)+2w=54
2(3w-4)+2w=54
w(3w-4)=54
2(4w-3)+2w=54
Answers
Answer:
b
Step-by-step explanation:
Here,
The length of a rectangle is 4ft less than 3 times the width
Then,
length=3w-4ft
Now,
2(l+w)=P
2(3w-4+w)=54
6w-8+2w=54
2(3w-4)+2w=54
Equation b can be used to find the width of the rectangle
What is the slope of the following equation? -3y-x=0
Answers
Given the equation
[tex]-3y-x=0[/tex]To determine the slope, first write the equation in slope-intercept form (y=mx+b)
[tex]\begin{gathered} -3y-x=0 \\ -3y=x \\ y=-\frac{1}{3}x \end{gathered}[/tex]The slope corresponds to the coefficient multiplying x.
For this equation the slope is equal to -1/3.
What is the degree of a polynomial?
Answers
Answer:
A polynomial's degree is the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients)
Step-by-step explanation:
The degree of a polynomial is the exponent of the leading term. For example, (x + 1) is a first-degree polynomial because x has an exponent of 1. (x^5 + 2y^4 - 3y^3 + y^2 - x + 3) is a fifth-degree polynomial because x has an exponent of 5.
Right triangle GEO has right angle E.The length of segment EO is 10 and the length of segment OG is 15.Find the measure of angle G.
Answers
Solution
- The sketch of the triangle is given below:
- To solve for the angle [tex]\begin{gathered} \sin\angle G=\frac{Opposite}{Hypotenuse}=\frac{10}{15} \\ \\ \angle G=\sin^{-1}(\frac{10}{15}) \\ \\ \\ \angle G=41.81031489...\approx41.81\degree \end{gathered}[/tex]
Final Answer
The answer is 41.81
Marsha buys 3 pounds of cheddar cheese and some Swiss cheese Both cheeses cost $450 per pound. The total cost is $24.75. How many pounds of Swiss cheese did Marsha buy?
Answers
Let x represent the number of pounds of Swiss cheese that Marsha bought.
We were told that Marsha buys 3 pounds of cheddar cheese and some Swiss cheese Both cheeses cost $450 per pound. This means that the cost of 3 pounds of cheddar cheese is 3 * 4.50 = 13.5
Also, the cost of x pounds of Swiss cheese is 4.5 * x = 4.5x
If the total cost is $24.75, it means that
4.5x + 13.5 = 24.75
The equation is
4.5x + 13.5 = 24.75
We would solve for x. Thus,
4.5x = 24.75 - 13.5
4.5x = 11.25
x = 11.25/4.5
x = 2.5
Thus, she bought 2.5 pounds of Swiss cheese
The quotient of 4 times X and 2 more than Y
Answers
Answer:4x(y+2)
Step-by-step explanation:
2 - 2f(x)X + 1g(x) = 18 - 3.2Escreva (fog)(2) como uma expressão em função de 2.(fog)(x) =
Answers
Answer
[tex](f\text{ o g)(x) = }\frac{3x-16}{17-3x}[/tex]Explanation
We are given that
f(x) = (2 - x)/(x + 1)
g(x) = 18 - 3x
We are then asked to find (f o g)(x)
(f o g) (x) is the same as writing the expression for f(x) but instead of x, we will write g(x) in the expression.
[tex]\begin{gathered} f(x)=\frac{2-x}{x+1} \\ (\text{fog)(x) = }\frac{2-g(x)}{g(x)+1} \end{gathered}[/tex]Recall that
g(x) = 18 - 3x
So,
[tex]\begin{gathered} (\text{fog)(x) = }\frac{2-g(x)}{g(x)+1} \\ (\text{f o g)(x) = }\frac{2-(18-3x)}{18-3x+1} \\ (f\text{ o g)(x) = }\frac{2-18+3x}{17-3x} \\ (f\text{ o g)(x) = }\frac{-16+3x}{17-3x} \\ (f\text{ o g)(x) = }\frac{3x-16}{17-3x} \end{gathered}[/tex]Hope this Helps!!!
help me pleasee!!
thank you
Answers
Answer:
f(x) = -9 * (x - 2) + 7
f(x) = -9x + 18 + 7
f(x) = -9x + 25
Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the button on your calculator to solve. 8 mi. 5 mi. Volume of the cylinder = mi3
Answers
Write out the volume of a cylinder shown below
Formula
[tex]\begin{gathered} \text{Volume of a cylinder = }\Pi r^2\text{ h} \\ where\text{ radius = 5mi , height = 8mi , }\Pi\text{ = 3.142} \\ \text{Volume of a cylinder = }3.142x(5)^2x8 \\ V=628.4mi^3 \\ ThereforeVolumeofthecylinder=628.4mi^3\text{ (nearest tenth)} \end{gathered}[/tex]Hence the volume of the figure = 628.4mi³
3. A data set has six numbers. Four of the numbers are: 4, 3, 8, 12. If the mode is 3, find at least three possibilities for the other two numbers.
Answers
The possibility of the other two numbers in the given data set is 3.
What do we mean by a number?An object that can be counted, measured, and given a name is a number. The initial examples are the natural numbers 1, 2, 3, 4, and so forth. In language, numbers can be expressed using number words. The symbols referred to as numerals can be used to represent specific numbers in a more general way; for instance, the numeral "5" stands for the number five. Due to the limited amount of symbols that can be learned, fundamental numbers are typically arranged in a numeral system, which is a systematic manner of representing any number. The Hindu-Arabic numeral system, which enables any number to be expressed using a combination of 10 fundamental numeric symbols known as digits, is the most widely used numeral system.So, by observing the data, we can simply conclude that:
As the mode is 3, the remaining two numbers are 3.Therefore, the possibility of the other two numbers in the given data set is 3.
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I'll be there tomorrow thank you so very sweet for the reminder of my day
Answers
we are told to complete the tables using the same ratio. To do that we need to multiply each number in the upper row by the same number to get the number in the lower row. Or divide the same number in the lower row to get the number in the upper row. In the case of table 4 we have that in the first column the numbers:
[tex]\begin{gathered} 1 \\ 9 \end{gathered}[/tex]Therefore, we need to multiply the number in the first row by 9, to get the number in the lower row. Therefore, for the second column we have:
[tex]\begin{gathered} 3 \\ 27 \end{gathered}[/tex]Since 9x3 = 27. In the third column:
[tex]\begin{gathered} 5 \\ 45 \end{gathered}[/tex]Since 9x5 = 45. In the fourth row:
[tex]\begin{gathered} 7 \\ 63 \end{gathered}[/tex]Since 9x7=63. In the final row:
[tex]\begin{gathered} 9 \\ 81 \end{gathered}[/tex]Since 9x9 = 81. And thus we complete the table.
The complete table would be:
[tex]\begin{bmatrix}{1} & 3 & {5} \\ {9} & {27} & {45} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{7} & {9} & {} \\ {63} & {81} & {} \\ {} & {} & {}\end{bmatrix}[/tex]
Which number line
represents the solution to 5+8x < 3(2x+4)
Answers
Answer:
x < 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I cannot see a number line, but the solution can be found by:
5 + 8x < 3(2x+4) Distribute the 3
5 + 8x < 6x + 12 Subtract 6x from both sides
5 + 2x < 12 Subtract 5 from both sides
2x < 7 Divide both sides by 2
x < [tex]\frac{7}{2}[/tex]
or
x < 3[tex]\frac{1}{2}[/tex] This means that all of the numbers less than 3 1/2 are answers.
For right triangle find the missing quantity indicated below express the angle in degrees and minutes not just degrees please and round your answer
Answers
To find the angle we will use the sine theorem, but first we will find the measure of the missing side:
[tex]x^2=1325^2+2569^2[/tex][tex]x=\sqrt[]{1325^2+2569^2}[/tex][tex]x=\sqrt[]{8355386}^{\prime}\text{ }[/tex]measure of angle B must be:
[tex]\frac{sin\text{(B)}}{2569}=\frac{\sin (90^{\circ})}{\sqrt[]{8355386}}[/tex][tex]\sin (B)=\frac{2569}{\sqrt[]{8355386}}[/tex][tex]B=62.72^{\circ}[/tex]Finally convert B to degrees and minutes:
[tex]\frac{1^{\circ}}{60^{\prime}}=\frac{0.72^{\circ}}{m^{\prime}}[/tex][tex]m^{\prime}=0.72\cdot60=43.2^{\prime}[/tex][tex]B=62^{\circ}43.2^{\prime}\text{ }[/tex]Hi guys.I was sick on Friday and I don’t understand the work.I watched all my teachers videos and still don’t understand.I’ll be giving out 10 points to whoever helps.
Answers
Step by step
See my attachment.
Corresponding angles are congruent, or the same (angles in blue).
So that means (5x-2) is adjacent or next to (5x + 2)
We also know the complimentary angle is equal to 180 degrees angle in green).
We can find x by adding the two angles together to equal 180.
(5x + 2) + (5x -2) = 180
Combine like terms
10x = 180
Divide both sides by 10 to solve for x
X = 18
Problem solved
Ally bought 4 liters of lemonade, 3,000 milliliters of iced tea, and 2,500 milliliters of fruit punch. How many liters of drinks in total did she buy?
Answers
Answer:
9.5 liters
Explanation:
The volume of each drink that Ally bought is:
• Lemonade: 4 liters
,• Iced tea: 3,000 milliliters
,• Fruit Punch: 2,500 milliliters
Since we are required to find the total in liters, convert the volumes given in milliliters to liters.
[tex]\begin{gathered} 1000\text{ milliliters}=1\text{ liters} \\ \implies1\text{ milliliter}=\frac{1}{1000}\text{ liter} \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} 3000\text{ milliliter}=\frac{3000}{1000}=3\text{ liter} \\ 2500\text{ m}\imaginaryI\text{ll}\imaginaryI\text{l}\imaginaryI\text{ter}=\frac{2500}{1,000}=2.5\text{ l}\imaginaryI\text{ter} \end{gathered}[/tex]Therefore, the total volume in liters will be:
[tex]4+3+2.5=9.5\text{ liters}[/tex]Ally bought 9.5 liters of drinks in total.
What is 24 divided by 1200 in long division
Answers
Answer:
50
Step-by-step explanation:
First you'll want to start off with the 3 main numbers "120" so divide that by 24 and you'll get 5 after bringing that up you want to multiply 5 by 25 and you'll get 120 then you want to minus the original 120 by it and you'll get 0 which after that you'll want to bring the other 0 down that you did nothing to and divide it by 24 which will get you 0 and bring that up and then you got your answer
Exclamation; don’t really feel like Typing.
What function translates the function f(x) = to the right 2 units and up 10 units?
g(x)= |
Answers
Answer:
g(x) = | x - 2 | + 10
Step-by-step explanation:
given g(x) then g(x± h ) is a horizontal translation of g(x)
• if h > 0 then a move to the left of h units
• if h < 0 then a move to the right of h units
here the move is 2 units to the right, then
g(x) = | x - 2 |
given g(x) then g(x) + c is a vertical translation of g(x)
• if c > 0 then a move up
• if c < 0 then a move down
here the move is 10 units up , then
g(x) = | x - 2 | + 10
2. Solve each problem in two different ways as modeled in the example,Example; } x 6 = ?---&*6=zmedena. x 164x 16Kb. x12fx 12
Answers
Let's begin by listing out the given information:
[tex]\begin{gathered} \frac{2}{3}\cdot6=\frac{2\cdot6}{3}=\frac{12}{3}=4 \\ \frac{2}{3}\cdot6=2\cdot\frac{6}{3}=2\cdot2=4 \\ \\ \frac{3}{4}\cdot16=\frac{3\cdot16}{4}=\frac{48}{4}=12 \\ \frac{3}{4}\cdot16=3\cdot\frac{16}{4}=3\cdot4=12 \\ \\ \frac{4}{3}\cdot12=\frac{4\cdot12}{3}=\frac{48}{3}=16 \\ \frac{4}{3}\cdot12=4\cdot\frac{12}{3}=4\cdot4=16 \end{gathered}[/tex]The function h is defined as follows.
h(x)=3x²+2
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Since functions are frequently composed of two smaller functions to create new functions, this definition of function is sometimes used.
What is the domain and range of f/x )= 3x 2?The graph of the function will be a straight line with no discontinuities when the equation f(x) = 3x - 2 is used.
The domain of this expression is all real integers.
The expression f(x) = 3x - 2 has as its domain "x | x is a real number," which can be written as (-,","") for any x > R.
F (x) = 3 x f (x) = 3 x f (x) = 3 x is the given function.
The domain of f f f is R mathbbR R since 3 x 3x 3x is defined for any x R x in mathbbR xR (where R mathbbR R is the set of all real numbers).
Consider the function y = f(x),
which has the independent variable x and the dependent variable y.
A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
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Rewrite 0 = 1-2y+14x. As a linear equation
Answers
Answer:
y = 7x + 1/2
Step-by-step explanation:
0 = 1 - 2y + 14x
+2y +2y
2y = 1 + 14x
/2 /2 /2
y = 1/2 + 7x
y = 7x + 1/2
0= 1 - 2y +14x
+2y +2y
