In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!

In The Diagram, RSTRST. Determine The Length Of RS. Show Your Work.100 Points!

Answers

Answer 1
Answer: 6 feet


Explanation: Since the triangles are similar, we can use the proportion 9/4=(12x+2)/(5x+1).

Cross multiplying 9*(5x+1) and 4*(12x+2) gives us 45x+9=48x+8.

Solving for x gives us 1/3.

You can check your work by plugging in x for the two equations, which gives us 6 (RS) and 8/3 (R’S’)

The scale factor is 4/9 (k) from 9k=4

6*4/9=8/3 and (8/3)/(4/9)=6
Answer 2

Answer:

RS = 6 feet

Step-by-step explanation:

Use ratios of corresponding sides:

TS/T'S' = RS/R'S'

Substitute and solve for x:

9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3

Find the length of RS:

RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feet

Related Questions

what if violation of the civil rights of a minority increases the sum total of pleasure pf the majority?

Answers

Answer:

The question that you have posed is rather interesting. However, it indicates a misunderstanding of the nature of civil/human rights as they are currently framed.

Step-by-step explanation:

The key thing to recall is that human and civil rights are, for the most part, individual rights, as opposed to group/societal rights. See, for example, the USA Bill of Rights, European Convention on Human Rights, Universal Declaration, and the International Covenant on Civil and Political Rights. Therefore, there is no greater societal sum equation to assess when looking at high rights. Indeed, individuals from minorities are often given special protections within human rights treaties/regimes.

However, it should not be forgotten that many rights are not inalienable, for example the right to family life, or freedom of expression. In these instances the right may be legitimately violated, if, on balance it is required to protect another individuals human right (note that it's individual as opposed to societal), or if it is deemed proportionate to violate that right (eg, to detain an individual because they have breached a provision of criminal law). But, it must be noted that this has nothing to do with minorities or majorities.

The often cited reason for this formulation is that the majority of the human rights treaties mentioned above emerged following the atrocities of the Second World War. In this regard, it must be recalled that one of the underlying philosophical beliefs of he Nazi regime related to the greater good of society, with it being perfectly permissible to violate the rights of one in order to further the welfare of others.

On the next play, the team gained 5 yards and then
lost 6 yards. What is the total change in yards?

Answers

Answer:

-1 yards

Step-by-step explanation:

5 - 6 = 1

5 yards gained - 6 yards lost = -1 change in yards

-1 yard I hope that helps lol

Jos
car
On Saturday the carinal brought in
$5,400 in ticket sales. This
represented 75% of the total
revenue. How much money did the
carnival bring in on Saturday?


Answers

Answer:

$7,200

Step-by-step explanation:

If 5400 is 75% then 5400/3 is 1800 or 25%. Add 5400 and 1800 and you get 7200. (Double-check to make sure I'm correct)

PLEASE ANSWER THIS!!!

Answers

Answer:

the answer would be 85% bsjdjdmzmcnd

Answer:

75%

Step-by-step explanation:

Total Questions= 12

Answered Correctly= 9

%=9/12 x 100

%= 0.75 x 100

%= 75%

PLEASE MARK ME AS BRAINLIEST!!!!

13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!

Answers

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

8.- Observa la siguiente operación y determina la respuesta correcta. [(-
35+14-63) + (-7)] ×
(-3)​

Answers

Answer:

la respuesta es +273 porque menos por menos es igual a +

helpppppppppppppppp me

Answers

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

4,9, and 16 can make a perfect square.

it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to

Help please! I need help with this two step equations

Answers

Answer:

search it up on goggle lll

Answer:

3

Step-by-step explanation:

Which expression is equivalent to d
6d – 3d?

Answers

Answer:

d (d^6-3)

the 6 is the exponent

Step-by-step explanation:

How many degrees is angle x?

Answers

Answer:

Step-by-step explanation:

acute angle

Answer:

40 degrees

Step-by-step explanation:

The way I did this (and it won't make much sense I know but its just my way of doing it), is to subtract the bigger angle on the tool by the smaller angle. For example, like in the image, one arrow is at 120 degrees and another at 80 degrees, so I would just do 120-80 which equals 40, and because we talk about angles in the hood its 40 degrees, not plain 40

hope you understand

Find the slope of a line with this information, "−12; (4,−5)". Write your answer in slope intercept form.

Answers

Answer:

y = -12x - 43

Step-by-step explanation:

"slope-intercept form" looks like y = mx + b.

We are given m = -12 and a point on the line which is (4, -5).

Substituting 4 for x, -5 for y and -12 for m, we get:

-5 = -12(4) + b.  Then b = -43, and the desired equation is y = -12x - 43.

4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.

Answers

So first I would do 6400 by 4. I would get 1600 and then I would do 6400-1600. That would get me 4800. Final answer is for adults 1600 and for kids 4800 tickets were sold

Evaluate the expression below for n = 3.7.

12.8 + 6(n - 0.5)

Answers

Answer:

30n+49/5

Step-by-step explanation:

Answer:

12.8+6(n-0.5)

Putting the value of n into the equation

12.8+6(3.7-0.5)

12.8+6(3.2)

12.8+19.2

32.0

help me fast pls!!!

A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?

Answers

Answer:

The fraction of space taken by coral is 3/20 in the aquarium.

Step-by-step explanation:

The fraction of space taken by coral is C=3/8of2/5 in the aquarium.

•C=3/8.2/5=6/40=3/20

The fraction of space taken by coral is 3/20 in the aquarium.

I hope it's helpful!

Simplify.

−6x+86−32x−12+52x

Enter your answer in the box.

Do not use decimals in your answer.

Answers

Answer: 14x+74

Step-by-step explanation:

-6x+86-32x-12+52x=14x+74

-6x+86-32x-12+52x

=-6x-32x+52x+86-12

=14x+86-12

=14x+74

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression after simplifying is 14x + 74.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 4 = 3 is an expression.

3 + 4x - 5 is an expression.

We have,

-6x + 86 - 32x - 12 + 52x

Add like terms.

-6x - 32x + 52x = 14x

Now,

14x + 86 - 12

14x + 74

Thus,

The final expression after simplifying is 14x + 74.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Bulky Store also sells ground beef.



10 patties for $4.99



What is the cost of 30 hamburgers rounded to the nearest cent?

Answers

$15 dollars for 30 hamburgers. Hope this helps!

Answer:

60$

Step-by-step explanation: 10/5=2

2*30= 60

*rounded*

find the volume of a cylinder with radius 3cm and height 7cm​

Answers

Answer:

Step-by-step explanation:

[tex]V=h\pi r^2\\ \\ h=7\ and\ r=3\\ \\ V=8(3^2)\pi\\ \\ V=72\pi cm^3\\ \\ V\approx 226.2cm^3[/tex]

2. Find the missing side length
of the right triangle below

Answers

Answer:

pretty sure that would be 15

Step-by-step explanation:

GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST AND POINTS!!!!!!!!!!!!!!!! photo attached above thanks sm if u help

Answers

Answer:

i think its the third option

I’m 90 percent sure C

What is the multiplicative inverse of the number 5?

Answers

Answer:

1/5

Step-by-step explanation:

Grace wants to participate in a dance recital. She cannot miss more than 15% of the 40 classes before the recital. What is the minimum number of classes Grace must go to in order to be in this recital?
(BUT DON'T SAY 6 I PUT IT AND IT WAS WRONG!)

Answers

Answer:

She has to attend 6 or more classes

Step-by-step explanation:

HELP ASAP WILL MARK U BRAINLIESTTTT

Answers

Answer:

125q^6p^3

Step-by-step explanation:

What is 9 divided by 5x8?

Answers

Answer:

The answer is [tex]\frac{9}{40}[/tex] or 0.225

Answer:

well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444

Step-by-step explanation:

Hope that this has helped you out! :)

I need some helppp people

Answers

We can observe that the function describing the graph is linear and so the equation is of linear nature:

[tex]y=mx+n[/tex]

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]

Now our line has an equation,

[tex]y=\frac{6}{5}x-1[/tex]

Hope this helps.

Y= -12/10+-5


(5,5) (-5,-7)

-7-5=-12
-5-5=-10

-12/-10

B=-5

Y=-12/10+-5

The source or origin of a word is called its?​

Answers

Answer:

Etymology

the study of the origin of words and the way in which their meanings have changed throughout history.

Step-by-step explanation:

Help me please guys .
What is the answer?


4.3

4.2

4.1

4.4

Answers

Cosine = adjacent/ hypotenuse
cos(53) = x/7
7 * cos(53) = x
x = 4.2

Sine = opposite / hypotenuse
sin(53) = y/7
7 * sin(53) = y
y = 3.2

What is the exact circumference of a circle with a radius of 15 cm?
O 10 cm
O 15 cm
O 30 cm
O 60 cm

Answers

Answer:

Step-by-step explanation:

None of the choices is correct.

Circumference= 2πr = 30π cm

1. 72% of the students in Math 6 at AZVA are currently mastering their lessons. If 306 students are currently mastering their math lessons, how many students are in Math 6?

Answers

Answer:

i need help to yall help usssssssssssssssssssss pls

Step-by-step explanation:

Answer:

306/x = 72/100

72x= 306 x 100

72x = 30600

X = 425

Step-by-step explanation:


Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of
acres, a, and the bushels of corn, c, the farm produces
Which equation models the relationship between the independent and dependent variables?
A) a=45c
B) c=45a
C) a=45+c
D) c=45+a

Answers

Answer:

i need the answer too

Step-by-step explanation:

Look at the street map. What street is parallel to Red Road? A. Union Street B. Green Street C. Blue Street D. Polk Street
i have 3 mins PLZ HELLPPPP

Answers

I'm pretty sure it would be

B) Green Street

Since Red Road appears to be vertical.

Other Questions
When factoring a expression, what's the easiest way to find a GCF The Virginia Slave Codes of 1705A. abolished slavery.B. described how enslaved Africans could earn their freedom.C.gave slaves the same rights as poor whites in a court of law.d. regulated slavery Match the equation to the graph where n is the Number of Burgers and C is the cost.The 2 equations are C= 0.35n and C= 0.5n. Which of the statements are characteristics of a good hypothesis? -is developed from data that cannot be replicated -relies heavily on cutting edge technology -is created from careful research and logical reasoning -is based only on a presentation by an expert in the field -is able to be tested using validated techniques Is y=x+2 a linear function help lol, show wurk cuz u know how teachers are these days the sum of the measures of two exterior angles of a triangle is 272. what is the measure of the third exterior angles What is the relationship between changing CO2 emissions and CO2 concentration? What kind of sequence is this? 39, 156, 468, 936 Can you help me pleasee ? Plzzz help ASAP Ill do anything::)!Ill give brainliest !if u do good plz help Whats the best way to educate yourself.Explain different ways on how to educate yourself.1-30 sentences please someone help me i em doing essay If 12 oranges cost $4.80, what would be the cost for 5 oranges tRNA molecules are recyclable1.True2.False Most animal lineages evolved during the period. the price for 11 Ballponit pens is$11.77.Which Following repesents the same price per pen? -4h - 2 = -6h - 8 i need all the steps pls!! How did the Ethiopian ruler describe the different kinds of Europeans who came to Africa?How did he plan to respond? Healthcare workers often use medicine or surgery to diagnose diseases. study diseases. prevent diseases. treat diseases. 1 point13.) Las Bienaventuranzas son las ensenansas de Jesus de su sermon de lamontana que describen las actitudes y acciones de las personas que Diosbendice? *VerdaderoFalso