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

anyone watch anime... im trying to give out some points :)

Answers

Answer:

I do not...

Step-by-step explanation:

but I want to...

Answer:

I have never watched anime like whats it for lol

can somebody help me, major grade and is timed, pre ap geometry

Answers

Step-by-step explanation:

First find the value of Y

=> 5y-8=3y+1

=> 5y-3y=1+8

=> 2y=9

=> y=4.5

Second find the value of X

=> x+6=4x

=> 6=4x-x

=> 6=3x

=> x=(6/3)

=> x=2

Thus, x=2 and y=4.5 [Option C]

Hope this helps you.

Write the following ratio using two other notations. to Use only the numbers above (not any others). Notation one: Notation two: 9 fration 8

Answers

Answer:

9:8 and 9 to 8

Step-by-step explanation:

Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?

Answers

Answer:

1/16

Step-by-step explanation:

To find the answer, you would have to divided 1/4 by 4, which is 1/16.

Hope this helps! :)

A triangle can be formed with the lengths 10 cm, 5 cm and 14 cm.​

Answers

Answer: yes.

Step-by-step explanation: i dont really get this one so i just said yes

Help plz:)))I’ll mark u Brainliest

Answers

9514 1404 393

Answer:

  x = 18

Step-by-step explanation:

The parallel lines cut the transversals proportionally.

  (2x -1)/40 = 21/24

  2x -1 = 35 . . . . . . . multiply by 40

  2x = 36 . . . . . . . . add 1

  x = 18  . . . . . . . . . divide by 2

which bicondtonal is not a good definition

Answers

Answer:

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

Which statement is true about the points shown on the number line.

Answers

Answer:

The top right one is correct

Step-by-step explanation:

Hope I helped

Answer: the top right answer is correct.

Step-by-step explanation:

help asap, will give brainliest! x

Answers

1 is bigger so it will be the 4th square

Answer:

<

Step-by-step explanation:

there ya go :) hope that helps youuu

btw you're doing great on that :D

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! :)

p divided by 7. The algebric expresstion is ?​

Answers

Answer:

Step-by-step explanation:

Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $108,665. To the nearest dollar, find the amount of last year's sales. a. $115,384 c. $114,374 b. $114,384 d. $114,284

Answers

Answer:

b on edu

Step-by-step explanation:

(1+2) +3 = 1 + (2 + 3)
What property is that equation

Answers

Answer:

associative property, which is the mathematical property that states that you can change the grouping in an addition or multiplication equation and the answer will not be affected.

SOMEONE PLSS HELP ASAP

Answers

The answer is most likely 8.

i literally have no clue how to do this can someone help

Answers

Peace and love

Peace

Okay can you do this for a test you can be brainleist

Answers

hope it's helpful ❤❤❤

THANK YOU

Please help, I will give brainliest.

Answers

Answer:

I believe it is c but don't quote me on it

c! HOPE THIS HELPS.

Which is a possible solution for -4 LaTeX: >> X

Answers

[tex] \text { > }[/tex]

\tex {>} is to be written

The graphs show the amounts in two different bank accounts over several months.



Explain whether Account A shows a proportional relationship between months and the amount in the account.

Explain whether Account B shows a proportional relationship between months and the amount in the account.

Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.

Answers

Answer:

where are the graphs?

Step-by-step explanation:

Lily needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?

Answers

The cost per hour for the labor will be $75

Total amount charged = $530.50

Amount charged for parts = $193

Number of hours used = 4.5 hours

Let the amount charged per hour = x

Therefore, the equation to solve the question will be:

193 + 4.5(x) = 530.50

193 + 4.5x = 530.30

Collect like terms

4.5x = 530.50 - 193

4.5x = 337.50

Divide both side by 4.5

4.5x/4.5 = 337.50/4.5

x = 75.

The cost of labor per hour is $75

Read related link on:

https://brainly.com/question/24666579

HELPP MEE
Write an equation to express y in terms of x.

Answers

Answer:

y = -¼x

Step-by-step explanation:

If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.

WILL MARK BRAINLYIST

Answers

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

What is 6 to 8 and 18 to X

Answers

mark as brainliest for the answer i know it

Answer:

The answer is 24

Step-by-step explanation:

STEP 1:

[tex]6x = 18 \times 8[/tex]

18 * 8 = 144

So, 6x=144

STEP 2:

Divide both sides by 6:

[tex] \frac{6x}{6} = \frac{144}{6} [/tex]

Then, you get 24

So, your answer is 24.

what is the mesaure of angle a

Answers

Answer:

i think its 133

Step-by-step explanation:

i just subtracted 47 from 180 bc the straight line is 180 angle

Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
help pls

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

How much more money does it cost to burn trash than to send it to a landfill? Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound​

Answers

Answer:

Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound​

Step-by-step explanation:

Need help with this question!
(25 points)

Answers

the answer is 2 grams. i did the math

Proportions in Similar Triangles find the value of x

Answers

Answer:

x=6

Step-by-step explanation:

1) Find the x-coordinate of the vertex, y-coordinate of the vertex, and the z-
intercepts.
y= 22 +42-5
3-coordinate of vertex f
y-coordinate of vertex c
* -intercepts d
a. = 5:0 = -1
b. -5 = 1
c. 2
d. 7
e. -2
f. -9

Answers

Answer:

b is the answer i think

Step-by-step explanation:

I learned this at some point

A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?

Answers

Answer: 125

Step-by-step explanation:

25% of 100 = 25

25 + 100

125

Other Questions
Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats. A swimmer, capable of swimming at a speed of 1.60 m/s in still water (i.e., the swimmer can swim with a speed of 1.60 m/s relative to the water), starts to swim directly across a 1.25-km-wide river. However, the current is 0.549 m/s, and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river lol help pls!if you were headed west with your family in 1850, which trail would you take and why? was the french revolution a success? explain Any three things that can help us to find our perfect future job PLEASE HELPPPP!!! MEEE! WILL GIVE BRAINIEST!!!y = x + What does Awe mean in this poem?1 Bright, dazzling sunlight fills the sky, 2 glimmering upon the water. 3 Colors of gold, red, and majestic purple clothe the clouds 4 like a garment of shimmering silk. 5 The sky darkens, 6 and a gentle hush falls over the land. 7 The world full of awe, silently watches 8 as the sun goes softly to sleep 9 in the open, loving arms 10 of the sea. The ______ was fought with ideas, words, and money.Please help ASAP! Please and thank you! Phenotype refers to the _________ of an individualA.actual physical appearanceB.recessive allelesC.dominant alleles triangle not drawn to scale5 units4 units8 units11 unitsWhat kind of triangle is this?O A.isosceles triangleOB. right triangleOC. equilateral triangleODscalene triangle please help me find an equation, please explain, the equation must work for all of the number of blocks help me please find the equation of line. What role do the people play in China's government? Ishaan thinks the distance between Island A and Island B is 7 miles. 18 is 75% of what number? 2Read this sentence from the article.Flames from the burning hay pushedagainst the roof and beams, almost as ifthey were struggling to break free.Which of the following is used in thesentence above?F. alliterationG. onomatopoeiaH. personificationI. proverb If two kids kick the ball at the same time what is the motion on the ball will do? Your answer 2wIs the answer 2? Help me please answer thanks Which subatomic particle is NOT found in the nucleus of an atom? *protonsneutronselectrons