Consider the two triangles.

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.

Answer:

the answer would be 1 7/8

Step-by-step explanation:

first you would count up the number of kittens that weighted 3/8 of a pound. You should have the number of 5, next you would multiply 5 × 3/8= 1.875 (as a decimal). Then you would convert that number into a mixed number (fraction) because all the answers are in mixed number form. You should get 1 7/8 because:

(1875÷125)(1000÷125) = 158 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 18751000 is also equal to 1 7/8 when expressed as a mixed number.

I hope this helps!

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

More such examples on estimation of numbers can be found here: https://brainly.com/question/30545404

#SPJ11

72/6=12

that means every tutor would have 12 students. if the academy has 120 students then we divide 120 by 12 to get 10. That means the academy needs 10 tutors.

Answer:

this is confusing

Step-by-step explanation:

Answer:

0 because 0 times whatever is 0

Step-by-step explanation:

Carol is likely taking a test called a True-False Test or a True-False Questionnaire.

Based on the information,

Carol is taking a questionnaire consisting of more than 500 true-false items.

In a True-False Test, the test-taker is presented with a series of statements or propositions .

And is required to determine whether each statement is true or false.

This type of test is commonly used in educational settings to assess,

a person's knowledge, understanding, or critical thinking skills on a particular subject.

The test may cover a specific subject area or a range of topics, depending on the purpose of the assessment.

By answering each true-false question, the test-taker demonstrates their ability to evaluate the accuracy of the statements presented.

It's worth noting that the term "true-false test" is often used interchangeably with terms like "multiple-choice test" or "objective test".

Since they all involve selecting the correct answer from a given set of options.

Therefore, questionnaire based on true-false test, the options are limited to 'true' or 'false' for each statement.

learn more about questionnaire here

brainly.com/question/15021447

#SPJ4

The above question is incomplete, the complete question is:

Carol is asked to complete a questionnaire made up of more than 500 true-false items. What test is she taking?

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

46 \(millimeters^{2}\)

Step-by-step explanation:

What is given....

The length which is 12.

The area which is 132

We can use both of those to find the missing height

A = l * h

132 = 12 * h

132/12 = 12/12 * h

11 = h

Now that we found what "h" is, we can use that to find the perimeter....

Perimeter is when you add up all of the sides of a shape

L = 12

H = 11

There are 4 sides in a rectangle ( 2 sides for the height, and 2 sides for the lengths)

12 + 12 + 11 + 11

24 + 22

46

The perimeter of the rectangle is 46 \(millimeters^{2}\)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

46

Step-by-step explanation:

What is a slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.

-3= -4(4) +b

-3= -16+b

+16  +16

13= b

This tells us that b=13, now we simply substitute that into the formula.

The solution to your question is y=-4x+13

To learn more about slope visit:

https://brainly.com/question/3605446

#SPJ1

A one-sample test for a proportion should have been performed because only one sample was used.

=========================================================

Explanation:

As the problem states at the very top, "Dan selected a random sample" which is paraphrased to "Dan selected ONE random sample". That keyword "one" means Dan should have used a one-sample test for a proportion. Not a difference in proportions test. This may seem like a trick question, but it's not.

If Dan had 2 samples, then he would go for the difference in proportions of course.

Answer:

I think it is the second one because -4 is the least

Step-by-step explanation:

Answer: It’s the first option.

Step-by-step explanation:

/-4/ the bars on either side of the -4 means absolute value. The absolute value of any number is the number itself, regardless of positive or negative. /-4/ is 4.

15/3 is 5. (3 goes into 15 five times)

16/3 is 5 1/3. (3 goes into 16 five times with 1 leftover. Place the leftover 1 back on top of the denominator)

Answer:

No solutions (Maybe)

Step-by-step explanation:

If you input 0 into the equation you get -3=-4, which means it has no solutions.

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ11

We are given the following information

Line AC and EG are perpendicular.

Angle FBC is the complement of the angle ABD.

Angle FBC = (x + 4)°

Angle ABD = (5x - 10)°

We are asked to find the angle EBF.

Recall that when two angles are complementary then they add up to 90°

So we can write

Let us substitute the given values and solve for x.

So the angle FBC is

Since we know that lines AC and EG are perpendicular so the angle FBC and angle EBF must add up to 90°

Therefore, the angle EBF is 70°.

The values of x make the triangle a right triangle is 25

Given that

Legs = 15 and 20

For a right triangle, we have

x^2 = 15^2 + 20^2

So, we have

x^2 = 625

This gives

x = 25

In this case, the value of x would be less than 25 calculated above

In this case, the value of x would be greater than 25 calculated above

Read more about triangles at

https://brainly.com/question/19387653

#SPJ1

Step-by-step explanation:

to find the area of a rectangle, you need to multiple both sides:

7/4 * 2/3 = 7/6

make it brainliest please (;

In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

Learn more about markov chain here:

https://brainly.com/question/30465344

#SPJ11

Answer:

Step-by-step explanation:

To find the slope it is: change in y/change in x

or

y_1 - y_2/x_1 - x_2. It can also be the variable sub 2, minus sub 1.

For this it is:

-2-4/4-6

-6/-2

3

m = 3

Slope intercept form is y = mx+b. Now we can sub in m. y = 3x+b.

To find b, sub in numbers from one of the points for x and y. I'm going to use (4,-2). Since in this case, -2 = y, and 4 = x, then those are the numbers I'm going to replace x and y with.

-2 = 3(4) +b

-2 = 12+b

-14=b

If -14 = b, and 3 = m, then your equation is y = 3x-14

The solution of the system of equation y = 2x - 5 y = -4x + 1 is (1, -3).

The system of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method.

Therefore,

y = 2x - 5

y = -4x + 1

Hence,

-4x + 1 = 2x - 5

-4x - 2x = -5 - 1

-6x = -6

divide both sides by -6

x = -6 / -6

x = 1

Let's find y.

y = -4x + 1

y = -4(1) + 1

y = -4 + 1

y = -3

Therefore, the solution is (1, -3)

learn more on system of equation here: https://brainly.com/question/13012104

#SPJ1

Answer:

b

Step-by-step explanation:

31x 1 is 850

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

To learn more about line integral visit:

brainly.com/question/29850528

#SPJ11

that there is no smallest positive rational number is proven below.

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have commonly divisible.

Let r be any reasonable number.

We can infer that r/2 is rational because r is a rational number.

There is no smallest rational number so we can assume that r/2 r because r/2 is rational.

Hence, proved that here is no smallest positive rational number.

Learn more about Rational Number, by the following link

https://brainly.com/question/12088221

#SPJ4

Answer:

f" (3,-2)

g' (3,-6)

H' (9,-5)

Step-by-step explanation:

Answer:

10x² + -18

Step-by-step explanation:

g(f(x)) means you substitute 2x²-5 for every occurrance of x in g(x).

g(f(x)) = 5(2x²-5) + 7 = 10x² - 25 + 7 = 10x² - 18 =  10x² + -18

The ICT has a tremendous importance because its purpose is to unify communications and improve the level of technology in the countries of the world.

Through platforms like social networking websites, video conferencing, and instant messaging applications, the ICT enables content creation to interact and exchange ideas. The internet offers resources for content development as well. These tools are employed as software that customers must buy.

On one hand, the term Information and Communications Technology or also known as ICT for its acronomyn, refers to the concept whose main purpose is to unify the communications and the integration of telecommunications and computers

On the other hand, the ICT development index has a huge importance around the world due to the fact that is the index that ranks and compers the level of ICT use and access across the differents countries all over the world

Learn more about  ICT content development link below

https://brainly.com/question/13724249

#SPJ4

Answer: 23 kg

Step-by-step explanation:

Let's begin by using algebra to solve the problem.

Let x be the number of kilograms of salmon the fish-shop owner bought at the market.

We know that the total cost of the salmon was $400, so we can write:

400 = x * c

where c is the cost per kilogram of salmon.

We also know that all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. So the price per kilogram of salmon at the fish shop was c + 10.

The total revenue from the sale of the fish was $540, so we can write:

540 = (x - 2) * (c + 10)

Now we can use these two equations to solve for x.

First, we can use the first equation to solve for c:

c = 400 / x

Then we can substitute this expression for c into the second equation:

540 = (x - 2) * (400/x + 10)

Simplifying this equation:

540 = 4000/x + 10x - 20 - 80/x

Multiplying both sides by x:

540x = 4000 + 10x^2 - 20x - 80

10x^2 - 20x - 4600 = 0

Dividing both sides by 10:

x^2 - 2x - 460 = 0

We can solve for x using the quadratic formula:

x = [2 ± sqrt(4 + 4*460)] / 2

x = [2 ± 44] / 2

Discarding the negative solution, we get:

x = (2 + 44) / 2

x = 23

Therefore, the fish-shop owner bought 23 kilograms of salmon at the market.

Any two angles whose sum is 146 degrees must both be less than 146 degrees. This can be supported by the Triangle Sum Theorem, which states that the sum of the measure of the interior angles of a triangle is 180 degrees.

The Triangle Sum Theorem states that the sum of the measure of the interior angles of a triangle is always 180 degrees. Therefore, if two angles add up to 146 degrees, then both of those angles must be less than 146 degrees. This is because the remaining angle must make up the difference to reach the total of 180 degrees.

Therefore, any two angles whose sum is 146 degrees must both be less than 146 degrees.

Learn more about The Triangle Sum Theorem: https://brainly.com/question/28164102

#SPJ4

Answer:

Account [B] is worth the most after 10years. It will have a value of $[21589.656]

The product of 20  x  9  x  5 is calculated to be 900

The property used is the commutative property of multiplication

Data given in the question include

product of 20 x 9 x 5

The commutative property of multiplication is the property of multiplication that is used as follows

a * b * c = c * b * a

Applying the commutative property of multiplication to the given problem we have

= 20 * 9 * 5

= 180 * 5

= 900

also

= 5 * 9 * 20

= 45 * 20

= 900

The product of 20 * 9 *  5 = 900

Learn more on commutative property of multiplication here:

https://brainly.com/question/28094056

#SPJ1

Answer:

Mother is presently 34

Scott is 11

Step-by-step explanation:

Let the mother's age = x

Let the son's age = y

First Equation

x + y = 45

Second equation

3*(x + 5) - 9 =  y+5                Add 9 to both sides

3(x + 5) = y + 5 + 9

3(x + 5) = y + 14                    Remove the brackets

3x + 15 = y + 14                    Subtract 14 from both sides

3x + 15 - 14 = y

3x + 1 = y

Put the first equation into the second equation

x + y = 45                             Subtract y from both sides

y = 45 - x

Put this value for y into the second equation's results.

3x + 1 = 45 - x                       Add x to both sides

3x + x + 1 = 45                    

4x + 1 = 45                            Subtract 1 from both sides

4x = 45 - 1

4x = 44                                Divide by 4

x = 44/4

x = 11

x + y = 45

11 + y = 45

y = 34