Please give me detailed answer

 Please Give Me Detailed Answer

Answers

Answer 1

The values of x, y and z are 5, 18 and 12 using the congruent triangles properties and triangles sum properties.

What are the characteristics of a triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

In congruent triangles all the sides are equal, with respect to the other triangle.

Calculation:

Given that ΔUVW≅ΔTSR.

We can see that in TSR triangle the lengths of TR and TS are given as 50 and 53 now the remaining side RS is 5y-33 as we know that both triangles are similar we compare side RS with side VW

i.e..,

5y-33 = 57

5y = 90

y = 18

So we can now compare vertices vertex V is vertex R , vertex W is vertex S and vertex U is vertex T.

So equating the sides of triangles we get,

12x-7 = 53        and 3z+14 = 50

12x = 60                   3z = 36

x= 5                           z = 12

The values of x, y and z are 5, 18 and 12 using the similar triangles properties and triangles sum properties.

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Related Questions

Use the figure to decide the type of angle that describes 6 and 4

Use the figure to decide the type of angle that describes 6 and 4

Answers

Answer:

Explanation:

A gas station is 28 kilometers away. How far is the gas station in miles

Answers

Answer:

17.394

Step-by-step explanation:

conversion

28 kilometers to miles

1 kilometer = 0.621371 miles

0.621371 miles * 28 kilometers

\(=\fbox{17.3984 miles}\)


3 by 5 ratio 8 by 9

Answers

Answer:

5:24

Step-by-step explanation:

Given data

3 by 5

=3*5

=15

8 by 9

=8*9

=72

Hence the ratio is

15:72

Equivalent to

5:24

The graph of a line has a slope of 3 and passes through the point (-4,-5).
What is the equation of the line in point-slope form?

Answers

Answer:

3x - y + 7 = 0

Step-by-step explanation:

The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,

=> y - y₁ = m( x - x₁)

=> y - (-5) = 3 { x - (-4) }

=> y +5 = 3( x + 4 )

=> y + 5 = 3x + 12

=> 3x - y + 12 - 5 = 0

=> 3x - y +7 = 0

Hence the equation of the line is 3x - y + 7 = 0 .

McKenna is volunteering in the media center at school. She has 125 books that need to go on the shelves. Each shelf holds 25 books.

Which expression can be used to figure out how many shelves will be needed to hold all of the books?
A) 125 ÷ 25
B) 125 x 25
Eliminate
C) 125 – 25
D) 125 + 25

Answers

Answer:

A would be the answer this is because we need to fit 125 book in shelves that fit 25 books so it would be division

Answer: the answer would be a

Step-by-step explanation:

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

What is the weight of a 35.01-carat diamond in grams and ounces? Use 1 carat = 0.2 gram, 1 carat = 3.086 grains, and 1 ounce = 437.5 grains.
The weight of a 35.01-carat diamond is
(Round to two decimal places as needed.)
The weight of a 35.01-carat diamond is oz.

Answers

The weight of a 35.01-carat diamond in grams and ounces

7.002gram0.247 ounces

How to determine the weight of a 35.01-carat diamond in grams and ounces

Information given in the question include

1 carat = 0.2 gram,

1 carat = 3.086 grains,

1 ounce = 437.5 grains.

The conversion of the weight units using the given variables can bbe done as follows

1 carat = 0.2 gram

35.01-carat diamond = ?

cross multiplying gives

1 * ? = 35.01 * 0.2

? = 7.002gram

1 carat = 3.086 grains

35.01-carat diamond = ?

cross multiplying gives

1 * ? = 35.01 * 3.086

? = 108.041 grains

That is 35.01-carat diamond = 108.041 grains

1 ounce = 437.5 grains

? = 108.041 grains

cross multiplying gives

437.5 * ? = 108.041 * 1

? = 108.041 /437.5

? = 0.247 ounces

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QUESTION : find the measure of angle A
Hint : solve for x then replace in angle A
please help ! ​

QUESTION : find the measure of angle A Hint : solve for x then replace in angle A please help !

Answers

Angle A should be 40 since x=10

Answer:

X=10°

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤❤

THANK YOU.

QUESTION : find the measure of angle A Hint : solve for x then replace in angle A please help !

Please help me will mark Brainliest

Please help me will mark Brainliest

Answers

The answer is Vertical angles
Linear pair or supplementary angles because A and B both add up to 180 degrees

if the earthquake has stronger magnitude what does it mean

Answers

Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

A checking account's balance is -$275.20. An overdraft fee of $18.00 is applied to the account. Suppose $325.00 is deposited into the account. Which statements are correct?
A) After the deposit, the balance is $31.80.
B) After the deposit, the balance is $60.02.
C) After the deposit, the balance is -$49.80.
D) After applying the overdraft fee, the balance is -$293.20
E) After applying the overdraft fee, the balance is -$257.20.

Answers

Answer

the answers are A and D

Step-by-step explanation:

will you please give me brainiest

Answer:

A) After the deposit, the balance is $31.80.

D) After applying the overdraft fee, the balance is -$293.20

Step-by-step explanation:

How are these two scenarios different: 3 people went to the zoo and tickets cost
$15 each in comparison to: 3 people go to the carnival, where tickets cost $15
each and parking costs $10.*
FOR BRAINLIST!!!!

How are these two scenarios different: 3 people went to the zoo and tickets cost$15 each in comparison

Answers

3 people for the zoo would only cost $45 in total due to free parking but 3 people for the carnival would cost $45 plus $30 for parking for each person making it a total of $75 in comparison to $45 dollars for the zoo

Write the absolute value of each number. 1. -2/8 2. 3 ¾

Answers

0.25 and 3.75 just simplify and that’s kinda it

Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?

Answers

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?

Answers

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located​

the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented

Answers

Answer:

Correct Answer is D

Step-by-step explanation:

Answer:

Yeah it's "D"

Step-by-step explanation:

Have a Jocular Day

During one year, the population of a town increased by 2% but during the next year it diminished by 2%. If at the end of the second year the population was 6,25,000, what was the population at the beginning? ​

Answers

Answer:

614,818.71

Step-by-step explanation:

hope it helps

Answer:

6,25,250

Step-by-step explanation:

let initaial population be "x"

after increasing by 2%

x'=x+x*2%

x'=102x/100

x' is decreased by 2% and population reached 625000,so,

625000=102x/100-2%*102x/100

625000=102x/100-51x/2500

625000=2499x/2500

2499x=625000*2500

x=1562500000/2499

x=625250.1

complete population is only counted so,

x=625250

initial population =625250

HELLPP 8 MINUTES LEFT!!!!!!!!For the following graph, identify the intervals of increase

ANSWERS IN PICTUREEEEE


HELLPP 8 MINUTES LEFT!!!!!!!!For the following graph, identify the intervals of increaseANSWERS IN PICTUREEEEE

Answers

Answer:

it is b

Step-by-step explanation:

On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter

On a map, the scale shown is 1 inch : 5 miles. Ifa wildlife refuge is 50 square miles, what is thearea

Answers

Answer:

Step-by-step explanation:

6

what is the mean,median,mode and range or the data set 4, 7, 3, 7, 7, 12,

Answers

Answer:

the mean is6.7 the mode is 7 and the range is 9

Step-by-step explanation:

Natalie borrowed money from her parents to pay for a trip.

​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed.

​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks.



Number of Weeks Natalie Has Paid,

w
Amount Natalie Still Owes,

d

0
0 ​
$
180
$180

2
2 ​
$
162
$162

4
4 ​
$
144
$144

6
6 ​
$
126
$126

8
8 ​
$
108
$108
​Part A

How much does Natalie pay her parents each week?

​$
per week



​Part B

Write a function that shows the relationship between the ​amount Natalie still owes,

d, and the number of weeks she ​has paid,

w.

Answers

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

Show the algorithm/abstract strategy to justify the 3/5?

Answers

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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Milan made a shirt using 5/8 yards of yellow fabric and 1/4 yards of green fabric. How many more yards of yellow fabric did Milan use?

Answers

Answer:

Milan used \(\frac{3}{8}\) more yards of yellow fabric than green fabric.

Step-by-step explanation:

The goal is to subtract 1/4 from 5/8.

\(\frac{5}{8}-\frac{1}{4}\)          This is your original equation. To subtract, the fractions must

                 have common denominators (the same number on the bottom.

                  Therefore, you must find the LCM (least common multiple) of 4

                  and 8, which is 8. Convert 1/4 to 2/8 by multiplying the

                  numerator and denominator by 2.

\(\frac{5}{8}-\frac{2}{8}\)            Now, subtract the numerators. 5-2=3. Leave the denominator.

\(\frac{3}{8}\)

I don’t understand this can someone help me

I dont understand this can someone help me

Answers

Answer:

\( \sqrt[3]{432 {x}^{5} } \\ \\ 432 = 6 \times 6 \times 6 \times 2 = {6}^{3} \times 2 \\ {x}^{5} = x \times x \times x \times x \times x = {x}^{3} \times {x}^{2} \\ \\ \sqrt[3]{432 {x}^{5} } = 6x \sqrt[3]{2 {x}^{2} } \)

I hope I helped you^_^

This is the answer.....
I dont understand this can someone help me

Solve the given equation.
8 to the power of x/ 4= 16

Answers

Answer:

x=8

.....................

You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study.

Quality of Management Reputation of Company
Excellent Good Fair
Excellent 40 25 8
Good 35 35 10
Fair 25 10 12

Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company.

a. State the null and alternative hypotheses.
b. Find the value of the test statistic. (Round your answer to three decimal places.)
c. Find the p-value. (Round your answer to four decimal places.)

Answers

Answer:

Step-by-step explanation:

The null and alternative hypothesis:

\(H_o \text{: Quality of management and reputation of company are independent}\)

\(H_a \text{: Quality of management is not independent of the reputation of company }\)

The observed values:

                      Excellent     Good    Fair    Total

Excellent           40               25        8        73

Good                 35               35        10       80

Fair                     25              10         12       47

Total                 100             70          30      200

The expected values  = (Row total/column total)/grand total)

                      Excellent     Good        Fair    

Excellent           36.5          25.55      10.95  

Good                  40             28             12

Fair                    23.5         16.45         7.05

O                E                    (O - E)²/E

40              36.5                0.3356

35              40                   0.6250

25              23.5                0.0957

25              25.55              0.0118

35              28                    1.7500

10               16.45                2.5290

8                 10.95               0.7947

10                12                    0.3333

12                 7.05                3.4755

                                            9.951

\(X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}\)

Degree of freedom \(df = (r-1)(c-1)\)

\(df = (3 - 1 ) (3 - 1)\)

\(df = (2)(2)\)

\(df = 4\)

Using Excel formula =CHIDIST(x²,d.f)

The P-value = 0.0413


At a local college, 61 of the male students are smokers and 549 are non-smokers. Of the female students, 156 are smokers and 444 are non-smokers. A male
student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?
Do not round your answer. (If necessary, consult a list of formulas.)

Answers

The probability of randomly selecting a male student and female student are non-smokers is 0.6771

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

According to the given question:

Number of male students are smokers = 61

Number of male students are non smokers = 549

Total number of male students = 610

Number of female students are smokers = 156

Number of female students are non smokers = 444

Total number of female students = 600

Probability that both are non smokers is given by

P (non-smoker males) x P (non-smoker females)

= \(\frac{549}{610} . \frac{444}{600}\)

= 0.915 x 0.74

= 0.6771

Therefore the probability that both male and female are non-smokers is 0.6771.

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3 tickets to the museum cost $12.75. At this rate, what is the cost of:

A. 1 ticket?
B. 5 tickets?

Answers

Answer:

1 ticket - $4.25

5 tickets - $21.25

Step-by-step explanation:

12.75/3=4.25 which is one ticket then take the price of one ticket and multiply it by 5, 4.25*5=21.25.

9 = -4+u
what’s the answer

Answers

Steps to solve:

9 = -4 + u

~Add 4 to both sides

13 = u

Best of Luck!

I need the area choices below

I need the area choices below

Answers

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

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