Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST? 2 centimeters 4 centimeters 6 centimeters 8 centimeters

Answers

Answer 1

Answer:

6 cm

Step-by-step explanation:

Given that:

A line that contains the points R, S and T.

Distance between R and S = [tex]2x[/tex]

Distance between S and T = [tex]3x[/tex]

To find:

The distance between S and T = ?

Solution:

The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.

As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.

i.e. RS + ST = RT

[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]

ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.

Point S Lies Between Points R And T On Line Segment R T. A Line Contains Points R, S, T. The Space Between
Answer 2

If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters

Point S lies between points R and T on Line segment RT

RT   =  RS   +  ST

The space between R and S is 2x

That is, RS  =  2x

The space between S and T is 3x

That is, ST  =  3x

RT is 10 centimeters long

RT  =  10cm

Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST

10  =  2x  +  3x

10   =  5x

x  =  10/5

x   =  2

If x = 2, then

ST  =  3x

ST = 3(2)

ST =  6 centimeters

Learn more here: https://brainly.com/question/20418953


Related Questions

11 (9+ d)
simplify

help me pleas

Answers

Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

What is the domain of this relation?

Answers

Answer:

{-3, 3, 5, 9}

Step-by-step explanation:

The domain is simply the inputs (x) used in the function.

Answer:

{-3,3,5,9} this is answer

100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.

Answers

Answer:

x = 29

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29

expand and simplify (x-4)(x-1)

Answers

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]

(x^2-5x+4) is the right answer.

The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?

Answers

Answer:82feet tall

Step-by-step explanation:

Look at the image bel9w

Answers

Answer:

it's your answer

Step-by-step explanation:

60+5(6÷2)

60+30÷10

60+3

63

18+(10-6)square

18+(100-36)

18+64

82

Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?

Answers

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

A bear cub weighed 10 pounds. Each month it gains 5 pounds. Which equation correctly shows this linear relationship.
A.Y=5x +10
B.Y=10x +5
C.Y=5x-10
D.Y=10x-5

Answers

Answer:

A. Y = 5x + 10

Step-by-step explanation:

The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.

Answer:

a is the answer I did dat before

plzzzzzz i will give u a thank u and 5 stars

Answers

Answer:

the answer is 440 square inches.

you just have to multiply all the numbers.

Answer:

B. 440 square inches

Step-by-step explanation:

all you have to do multiply 5x8x11 = 440

Complete the sentences to explain how to multiply 4.56 x 1,000

Answers

Answer 4560

Step-by-step explanation:

Take 1,000 over 4.56 and mutiply  6 times all the zeros wich gets

Take 6 times 1 and thats 6

And repeat that until you run out of dights which in this case is just 4.56

Write an equation for the line in standard form

Answers

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.

Find the unknown value .
45%=54/⬛️

Answers

Answer:

12

Step-by-step explanation:

54/12=4.5 then move the decimal once

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

Solve the equation for y. y-x=5

Answers

y - x = 5

y = x + 5

Hope this helps! :)

Answer:

Hi! The correct answer is y=5+x!

Step-by-step explanation:

~Add x to both sides of the equation~

find the value of x in each of the given triangles.​

Answers

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

I need to find the resultant matrix

Answers

the answers are there

i hope it will help you

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?


(Please help)

Answers

Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:


When factored completely, x3+ 3x2 - 4x-12 equals?

Answers

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3

Answers

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptotes for the function . The graph has a vertical asymptote with the equation x = 1.

The equation of the vertical asymptote is x = -3

The function is given as:

[tex]y =\frac{5x +1}{x + 3}[/tex]

Assume the equation of the function is:

[tex]y =\frac{m(x)}{n(x)}[/tex]

So, by comparison;

We have:

[tex]n(x)=x + 3[/tex]

Set n(x) to 0

[tex]x + 3 = 0[/tex]

Subtract 3 from both sides

[tex]x = -3[/tex]

Hence, the equation of the vertical asymptote is x = -3

Read more about asymptotes at:

https://brainly.com/question/17257427

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answers

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.

Answers

8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon

The solutions are,

8-6a. 110

8-6b. 20

8-6c. 48

8-6d. 108

8-7 C and H are not polygon, the rest are all polygon

The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

What is Area ?

Area is the space occupied by a two dimensional object,

The area and perimeter of the given shape can be determined by dividing it into basic shapes.

here, we have,

The area and the perimeter of the shape given

= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom

Area of rectangle = 5 mi * 9 mi = 45 sq.mi

Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi

Area of small Triangle = (1/2) * 3*6 = 9 sq.mi

Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi

Area of the figure = 45 +13.5 -9-4.5

Area of the figure =  45 sq.mi

Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom

Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486

Perimeter = 23.5354 mi

Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

To know more about Area

brainly.com/question/27683633

#SPJ2

Select the equation that is true.

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

95% of 15
i need help

Answers

Answer:

14.25

Step-by-step explanation:

im sorry im bad at explaning

Find the value of "c". 4c + 18 = 74 *​

Answers

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.

Answers

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

Suppose that a​ person's peak blood alcohol level is0.04 ​(grams per 100​ mL) and that this level decreases by 20​% each hour.

Answers

I think cus she said she was she she she

Answer:

Step-by-step explanation:

incomplete question

k - 873 = -695
What is the answer

Answers

Answer:

k= -1,568

Step-by-step explanation:

I am pretty sure this is the answer if not I am soo sorry

Answer:

178 is the answer......

What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6

Answers

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

How many solutions does this system have?

y = 5 x minus 1. y = negative 3 x + 7.

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

What is a system of equations?

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

To know more about the system of equations follow

https://brainly.com/question/25976025

#SPJ6

help me please quickly

Answers

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Other Questions
Write three facts about recessive heredity genes A stack of books is 5 feet 5 inches high. How high is it in inches? Which of the following would NOT be an enforcement responsibility of a local police officer?federal statutelocal ordinancestate lawinternational trade agreement A 8.0-kg ball is thrown towards a wall with a speed of 9.0 m/s. The ball hits the wall and rebounds backward with a speed of 2.0 m/s. What is the momentum change experienced by the ball? one of the art from of mangyans which contains rhythmic, poetic expression with a meter of seven syllables presented through recitation and chanting. Question 4Solve for x. Round your answer to two decimal places. Do NOT include x= in your finalanswer1030 Who founded the Roman Empire? What are the benefits of writing functions that use parameters and return? Try to list at least two. What fraction of an hour is 22 minutes please help! what is 2/7 x 1/3 What is the answer to the problem 50 200= What is the purpose of the feather headband Who organized the first womans rights conference at Seneca Falls, New York?Elizabeth Cady StantonHarriet WilsonAngela GrimkeMargaret Fuller Once beliefs are formed, it often takes stronger evidence to change them than it did to create them.True or False? Mrs. Taylor made 67 tissue holders each day. She decided to sell her tissue holders and sold out each day for four weeks. How many tissue holders did she sell? A. 1,876 tissue holders B. 1,866 tissue holders C. 1,407 tissue holders D. 670 tissue holders Solve the following equations7(3x + 5) - x = 75 Minh fixed a rusty spot on his car. First, he sanded off all of the old red rust. Then he sprayed the sanded spot with grey primer to keep therust from starting again. Next, he sprayed the spot with a final coat of blue paint so that it would match the rest of his car. Finally, he buffed andwaxed the spot. It all worked very well, except that he accidentally got paint on his white seat covers.What color was the outside of Minh's car?1. red2. white3. blue4. grey Karen jumped out of bed and ran to the shower. She dressed quickly. She charged downstairs and out the door.Click on the words that have the same meaning as "charged."hurriedtrudgedrushedsteppedstompedwalked does anybody play Ro,blox??? Physical Features of East Asia Use the map to choose the word or phrase from the drop-down menus that best answers each question. Through which half of China does the Yangtze River mostly flow? eastern Where does the Yangtze River begin? Altar Mountains Mongolia Into what body of water does the Yangtze River empty? Gobi Desert North Taklamakan Sea of Desert China Korea Japan Mount Everest South 1 Plateays Qin Mountains Korea East of Tibet Yangtze Rivers Japan China Himalayas X-River Mekong Ocean River South Taiwan Lowlands River N Sea Highlands W E Mountains S Sea Pacific Zhujiang China