The two triangles
are similar.
What is the value of x?
Enter your answer in the box.
X =

The Two Trianglesare Similar.What Is The Value Of X?Enter Your Answer In The Box.X =

Answers

Answer 1

Solution:

Note that:

(3x)/20 = (4x + 2)/28

Using cross multiplication:

(3x)/20 = (4x + 2)/28=> (3x) × 28 = (4x + 2) × 20

Simplifying both sides:

=> 84x = 80x + 40

Subtracting 80x both sides:

84x = 80x + 40=> 84x - 80x = 80x + 40 - 80x

Simplify the LHS:

=> 84x - 80x = 40=> 4x = 40=> x = 10
Answer 2

Ratio remains same

[tex]\\ \rm\bull\rightarrowtail \dfrac{20}{3x}=\dfrac{28}{4x+2}[/tex]

[tex]\\ \rm\bull\rightarrowtail 84x=20(4x+2)[/tex]

[tex]\\ \rm\bull\rightarrowtail 84x=80x+40[/tex]

[tex]\\ \rm\bull\rightarrowtail 4x=40[/tex]

[tex]\\ \rm\bull\rightarrowtail x=10[/tex]


Related Questions

The diagram below shows the floor plan for a new restaurant at the mall. Three of the corners are right angles. What is the perimeter of the floor plan? 182 feet 182 feet 194 feet 194 feet 200 feet 200 feet 213 feet

Answers

Answer:

add a diagram next time

Step-by-step explanation:

we could've helped if you did

The population of a citydecreased from 25,000 to 24,000. Find the decrease percentage,​

Answers

Answer: the percentage decreased is 2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

The decreased population of a city from 25,000 to 24,500

Population decreased =25,000−24,500=500

=    500/25000 x 100 = 2%

   

The length of time (T)in seconds it takes the pendulum of a clock to swing through one complete cycle is given by the formula

T=2π√L/32
Where L is the length, in feet, of the pendulum, and π is approximately 22/7. How long must the pendulum be if one complete cycle takes 6 seconds?

Answers

Answer:

T = 2 pi sqrt (L/g)

g = 32 ft/s2

here

2 = 2 (22/7) sqrt (L/32)

sqrt (L/32) = 7/22

L/32 = 49/484

L = 3.24 ft

check by hanging a weight from a 3' 3" string

Step-by-step explanation:

1) You earned $1600 in a summer job and you were paid with a check. You are going to open a checking account at hometown bank and put $800 into the account. What amount would you fill in for each letter? Please include the letter and then the amount. If there isn’t amount you can write, for example, A) 0 or A) none
(picture attached for this question)

2) The deposit slip that you filled out above needs to be signed. True/False


Answers

Answer:

The answer is A hope it helps

Step-by-step explanation:

The earned money is $1600. In which $800 is needed to deposit in bank . The, in the deposit slip choose the option C for check and the write the amount as $eighthunderd only in letter and then in numbers. The sign have to to be put there if only we receive the cash.

What is a checking account ?

A checking account makes it simple to access your money for daily transactions while also keeping it safe. Typically, customers can pay their bills or make purchases using a debit card or a check.

Several methods may be available for accounts to help avoid the monthly service charge. For daily expenses, a checking account is a bank account. You can use it to settle debts, buy things, and more.

The checking account is started with $800 here. So the the option C or option A for bills can be chosen. Then write the amount in number as well in letters.

2. The sign of the depositor must be there if they have received cash. Hence, the statement is false.

Find more on checking account:

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PLEASE HELP!!!! I'LL GIVE BRAINLLEST!!! a bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.

Answers

i believe that the answer is 1/5 but i am not entirely sure

Find five consecutive odd integers if the sum of the first three integers is 3 more than the sum of the last two

Answers

Let the integers be:

2k+12k+32k+52k+72k+9

It is one of the general forms to write an odd Integer..

ATQ,

[tex] \rm(2k + 1) + (2k + 3) + (2k + 5) = (2k + 7) + (2k + 9) + 3[/tex]

Using the equation Solve for K and then we will find the integers

[tex] \rm \: (2k + 1) + 2k + 3 + (2k + 5) = 2k + 7 + 2k + 9 + 3[/tex]

[tex] \rm2k + 1 + 2k + 2k + 5 = 2k + 7 + 2k + 9[/tex]

[tex] \rm \: 1 + 2k + 5 = 7 + 9[/tex]

[tex] \rm \: 6 + 2k = 16[/tex]

[tex] \rm \: 2k = 16 - 6[/tex]

[tex] \rm \: 2k = 10[/tex]

[tex] \boxed{ \tt \: k = 5}[/tex]

Now,

[tex]\large{|\underline{\mathtt{\red{1 ^{st} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]

[tex] \sf \: 2k + 1 \\ \sf 2 \times 5 + 1 \\ \sf \: 10 + 1 = 11[/tex]

[tex]\large{|\underline{\mathtt{\red{2 ^{nd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]

[tex] \sf \: 2k + 3 \\ \sf 2 \times 5 + 3\\ \sf \: 10 + 3 = 13[/tex]

[tex]\large{|\underline{\mathtt{\red{3 ^{rd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]

[tex] \sf \: 2k + 5 \\ \sf 2 \times 5 + 5\\ \sf \: 10 + 5 = 15[/tex]

[tex]\large{|\underline{\mathtt{\red{4^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]

[tex] \sf \: 2k + 7 \\ \sf 2 \times 5 + 7\\ \sf \: 10 + 7= 17[/tex]

[tex]\large{|\underline{\mathtt{\red{5 ^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]

[tex] \sf \: 2k + 9 \\ \sf 2 \times 5 + 9\\ \sf \: 10 + 9= 19[/tex]

Thus, The five consecutive odd integers are 11,13,15,17,19...~

Answer: 11, 13, 15, 17, and 19

When Sarah turned 18, she took $500 from her savings and opened a
ROTH IRA. Sarah chose to invest her money in a low fee index fund.
Based on historical data, Sarah predicts she can expect an average 7%
return on her money each year. If Sarah's prediction is correct, how
much will her $500 investment be worth when she is 68 years old?
(Assume she makes no other contributions to the account after the first
time)

Answers

The worth of Sarah's investment when she is 68 is $14,728.51.

What is the worth of the investment?

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: https://brainly.com/question/18760477

please show steps it help help alot

Answers

The Answer is in the attached file, I'm sorry if I can't write it on laptop, hope this helps man! :) and tell me if it's correct or wrong when your teacher see's it.

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. Select all the equations that describe this situation. Group of answer choices 3x = 14 x + 3 =14 x = 14 -3 x = 14/3

Answers

Answer:

x + 3=14

x=14 - 3

Want some more help? With other questions?

Go to Quiz.izz

Write in search bar "OUR Unit 6 Lesson 4"

Click on the first option, (there should be a picture of a meme with a person who is black.

Thanks!

Answered by: FieryAnswererGT

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100 POINTS!!!!

Mai's gross pay is $6,476. How much of her gross pay will be deducted for FICA taxes? (The social security tax rate is 6.2% and the medicare tax rate is 1.45%)

SHOW WORK FOR 100 POINTS!

Answers

Total tax:-

6.2+1.45=7.65%

Now we need 7.65% of Gross pay

[tex]\\ \rm\Rrightarrow 7.65\%\:of\:6476[/tex]

[tex]\\ \rm\Rrightarrow 0.0765(6476)[/tex]

[tex]\\ \rm\Rrightarrow 495.4\$[/tex]

Please help! The interest rate on a five year $8000 loan is 3%. Use the formula A=P*I^t, where P is the principle, I is the interest, and t is the term.

Answers

7through 1 obviously hope this helped

4. Brandy drives 500 miles each month. Her MPG is 18.1. If gas is $2.49 per gallon, how much does she spend on gas each month?
Ο $67.50
O $11.15
Ο Ο Ο Ο
Ο $60.78
Ο $68.78

Answers

The answer to the question is 68.78.

a) Work out the size of angle x.
b) Give reasons for your answer.
105°

Answers

Answer:

m∠x = 75°

Step-by-step explanation:

m∠x and m∠F are corresponding angles.

As lines AD and EH are parallel, m∠x = m∠F

m∠F and 105° form a linear pair

⇒ m∠F + 105° = 180°

⇒ m∠F = 180° -  105° = 75°

As m∠x = m∠F,

⇒ m∠x = 75°

PLEASE ANSWER I HAVE 5 MINS
WILL MARK BRAINLIEST IF CORRECT (PICTURE)

Answers

Answer:

Step-by-step explanation:

A = l × W

A = 4 × 2.5

A = 10 ft squared  

To make a cell phone protector, a company uses plastic rectangles 6 centimeters by 10 centimeters. Then squares x centimeters wide are cut from each corner. Use the drop-down menus below to complete statements using words and symbols to describe the area in square centimeters of the remaining plastic.

Answers

Answer:

The area of the remaining plastic is given by the difference:

original area- area of all square cutouts.

60 cm- 4x^2

Step-by-step explanation:

bc i got it right on imagine math

What is the value of the expression below -64 5/6

Answers

Answer:

389/6

 

Step-by-step explanation:

thts the answer

Diffusion is the movement of a substance
a.only in liquids.
b. through only a lipid bilayer.
c. down its concentration gradient.
d. against its concentration gradient.

Answers

Answer:

A

Step-by-step explanation: not sure how i can explain it but im pretty sure that is correct, theres not really an explanation as much as thats just how it is if you understand.

The sales tax rate is 7.5%. What is the tax on a $12.40 purchase?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 12.40}}{\left( \cfrac{7.5}{100} \right)12.40}\implies 0.93[/tex]

Answer:

$0.93

Step-by-step explanation:

1) Turn 7.5% into a decimal which is 0.075

2) Multiply :

0.075 * 12.40 = $0.93 tax on the purchase

Second Part if you need to add :

1) Add :

$12.40 + 0.93 = $13.33

i need help with one question ummm but can u pwease help me?

Answers

Answer:

31 days BRAINLIEST

Step-by-step explanation:

7x4+3=31

7 days in week

Answer:

31 days

Step-by-step explanation:

1 week = 7 days

2 weeks = 14 days

3 weeks = 21 days

4 weeks = 28 days

28 days + 3 days = 31 days (1 standard month and 1 day)

A certain number when divided by 4 gives a remainder 3.The same number when divided by 3 gives a remainder of two.Which of the following can be the number?​

Answers

Answer:

2

Step-by-step explanation:

let n=4q+3

then 2n =8q+6

=4(2q+1)+2

What are two problems that could occur with a title?

Answers

Step-by-step explanation:

Some of these common title issues are:Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Unknown easements. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Unknown easements. ...Boundary/survey disputes.

Please help…. Will mark brainliest plus 50 points!!!!

Answers

Answer:

k = 3

Step-by-step explanation:

Expanding the first term, we find 1/x at 10(kx)²(1/x)³ = 10k²/x

Expanding the first term, we find 1/x at 8*1⁷(-2/x)¹ = -16/x

Then

10k² - 16 = 74

k = 3

Trigonometry find X and Y

Answers

Answer: 100

Step-by-step explanation: multiply 45 x 45 because it is a right angle and both sides equal the same.

what integers are closet to the number 95

Answers

Answer:

94 and 96

Step-by-step explanation:

the closet to the numbers 95

Is escrow used for recurring or nonrecurring fees?

Answers

Answer:

I believe nonrecurring.

Step-by-step explanation:

If you havent already answered it I hope this helps :)

Explain how the part of a whole can be greater than the whole itself

Answers

Answer:

negative number

Step-by-step explanation:

-1

1/4 of -1 = -1/4

-1/4 is greater than -1

The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2.

What is a number system?

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's consider a negative number -8.

The 1/4 part of it ⇒

(1/4) × (-8) = -2

Since -2 > -8 so (1/4) × (-8) > -8

It is clear that for all negative numbers the part of it will be bigger than the number itself.

Hence "The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2".

For more about the number system,

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Select the corn Which function does this graph represent? y 3 N 1 -3 -21 -1 1 3 N E 1 2​

Answers

Answer:

ml

Step-by-step explanation:

pag dawload Gani og ml nana nanam na answer

A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.

Answers

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

height = 18 mmarea of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

solve for x
6/15 = 3/x

Answers

Cross multiply so 6x=15•3 so 6x = 45 and so
x = 45/6 = 15/2

Answer:

7.5 or 15/2

Step-by-step explanation :

Urgent please help me

Answers

Step-by-step explanation:

you have everything right except that C should be the answer to the first one and A should be the answer to the third one.

so your answers should be like

C

D

A

B

Answer:

The answer is:

C

D

A

B

Step-by-step explanation:

A is wrong on the first question since it doesn't connect two points on the circle. It's the radius which is from the centre to any end of the circle.

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