Point S is between points R and T on RT. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT.
RS = 2x - 8
ST = 3x - 10
RT = 17

RS =
ST=
RT=

Answers

Answer 1

Answer:

RS=6

ST=11

Step-by-step explanation:

answer is above

Answer 2

The value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is between points R and T on RT.

RS = 2x - 8

ST = 3x - 10

RT = 17

From the above information:

RT = RS + ST

17 = 2x - 8 + 3x - 10

17 = 5x - 18

35 = 5x

x = 35/5

x = 7

RS = 2x - 8 = 2(7) - 8 = 6 units

ST = 3x - 10 = 3(7) - 10 = 11 units

RT = 17 units

Thus, the value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units.

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Related Questions

Someone please help

Answers

9514 1404 393

Answer:

  622

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 +d(n -1)

where a1 is the first term (6), and d is the common difference (14-6=8).

Then the 78th term is ...

  a78 = 6 + 8(78 -1) = 6 + 616 = 622

The 78th term is 622.

A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.

Answers

Answer:

answer one is 8

answer two is 8

answer three is 520

answer four is 520

answer five is 800

Step-by-step explanation:

There are  520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

What are ratios and proportions?

The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

Given,

1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.

let x student out of 800 rides the bus

so both conditions 65/100 and x/800 are in proportions,

65/100 = x/800

x = 800*65/100

x = 520

2:  65% of the 800 students at North High School ride the bus.

65% of 800 = 65/100 x 800

65% of 800 = 520

3: 100 multiplied by is equal to 800.

let x multiplied by 100 is 800

x*100 = 800

x = 800/100

x = 8

Hence 520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

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2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?

Answers

His pay for the week is 296

Answer:

$296.

Step-by-step explanation:

Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.

What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?

Answers

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

can someone pls help me with the question i posted earlier asap pleasee

Answers

Answer:

I did so thanks for the points

Step-by-step explanation:

Use Triangle ABC to find the trigonometric ratio.
tan B =

Answers

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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]

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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,

Tan(B) = AC / BC

Tan(B) = 8/15

Hence, the value of Tan(B) will be equal to 8/15.

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18 less than a number

Answers

Answer:

Step-by-step explanation:

The answer is simple

18 - 1 = 17

Answer:

18<b

Step-by-step explanation:

b can repersent any number and you can use any letter in replace of b.

Hope this helps!

Find the equation of the perpendicular bisect of the given segment by following these steps
1. Determine the slope of the given segment

Answers

Where’s the equation?

Answer:

3/2

Explanation: Just did this on Edge

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles

Answers

Answer:

Time taken to travel at 3 miles = 1.875

Time taken to travel at 5miles = 1.125

Total distance = 11.25

Step-by-step explanation:

D = speed x time

Time = distance/speed

Time at 3 miles per hour and 5 miles per hour

T1 = d/3

T2 = d/5

Total time = 3 hours

T1+t2 = 3 hours

d/3 + d/5 = 3

= d(1/2+1/5) = 3

d(5+3/15) = 3

d(8/15) = 3

We cross multiply

8d = 45

d = 45/8

= 5.625 miles

Total distance = 2d

2x5.625 = 11.25 miles

Since d is now known

T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes

T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes

Total distance 2xd = 11.25

Answer:

the answer is

A. 1.875 hours

C. 5.625 miles

D. 11.25 miles

Step-by-step explanation:

magic

2. A(n) __ is an individual number,
figure, or letter in a sequence.

Answers

Answer:

term of a sequence

Step-by-step explanation:

17. Find the value of x to
make the following equation
true.
n

Answers

Answer:

- 2

Step-by-step explanation:

Step 1:

[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex]           Equation

Step 2:

[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex]        Subtract the exponents

Step 3:

[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex]             Subtract

Answer:

x = - 2

Hope This Helps :)

One of the common factors of 24 and 60 is 6. What is the GCF of 24 and 60? What does the value of the GCF represent?

Answers

Answer:

4

Step-by-step explanation:

The GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.

The given two numbers are 24 and 60.

What is GCF?

The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).

Now, 24=2×2×2×2×3 and 60=2×2×3×5.

The GCF of 24 and 60 is 2×2×3=12.

Therefore, the GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.

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if 2x+10 does not equal 42 then x does not equal 16​

Answers

Answer:

I can help if you like actually finished the full question.

Step-by-step explanation:

2(16) + 10 = 42

32 +  10 = 42

if this is a true or false question than this would be true.

Solve for x: 7x + 15 = 38

twenty-three sevenths
fifty-three sevenths
23
53

Answers

x= 23/7 so twenty-three sevenths

PLEASE HELP ME!

Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?

A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13​

Answers

The answer is c because you add 102 and multiply it by 12

The annually premium for health insurance will be $2,451.12.

Option A is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The health insurance premium is $102.13 each check.

And, We get paid semi-monthly.

Hence, Monthly premium = 2 x $102.13

                                        = $204.26

Since, 1 year = 12 months

Thus, The annually premium = 12 x $204.26

                                            = $2,451.12

So, The annually premium for health insurance will be $2,451.12.

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I am stuck.can you solve it please.

Answers

Step-by-step explanation:

what i advice u is read about chords ,secant line ,diameter ,radius ,tangent line, inscribed angle, central angle

hope it helps

for any question comment me ❤❤❤

Assuming the line is divided in equal parts. Identify the length of the
marked section of the line.
0
48

Answers

Each line will identify 6, because 48/8=6. Add up the lines and you will get 30

What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?

Answers

Answer: The equation of the line is y=1/4x + 3

Step-by-step explanation:

To get the equation, you have to set it up:

y=1/4x + b

Plug in the coordinates (-4, 2) next:

2=1/4(-4) + b

Solve:

2= -1 + b

add one on both sides:

3= b

Use the information to get the equation:

y=1/4x + 3

I hope this helps!!

Answer:

dfjhbgvdsasdfgf

Step-by-step explanation:

The table shows the results of a survey to choose a new
school mascot.
Vx
Four hundred students participated in the survey.
Which expression would you use to find how many
students voted for the cougar?
What should be the new school mascot?
Cougar
10%
400 - 2
0400 +4
Eagle
15%
0400 - 5
Falcon
0400 + 10
50%
Panther
25%
Intro
Done

Answers

Answer:

400 divided by 10 Got it right in the assignment

Answer:400 divided by 10

Step-by-step explanation:

<3

Solve: -3 + 7 -5 + (-10)​

Answers

Answer:

it is -11 because use the cauculator lol

Answer:

-11

Step-by-step explanation:

use a calculator bruh

y=11x+6y=11x+6 what is the x and y intercept

Answers

Answer:

y = 1 [ y intercept (0,1) ]

x = -5/11 [ x intercept : (-5/11,0) ]

Explanation:

First split this compound equation into two seperate ones:

y = 11x + 6y = 11x + 6 →

{ y = 11x + 6y → -5y = 11x → [ y = -11/5x ]

[ y = 11x + 6 ] }

________

Then find the x point of intersection by substitution.

y = -11/5x → y = 11x + 6

-11/5x = 11x + 6

-11/5x - 11x = 6

-66x/5 = 6

-66x = 30

-11x = 5

x = 5/-11

x = -5/11

_______

Then find the y point of interesection by substituting the x solution in one of the equations.

x = -5/11 → y = -11/5x

y = -11/5(-5/11)

y = 55/55

y = 1

The x-intercept is x = - 6/11.

The y-intercept is y = 6.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

y = 11x + 6

Now,

The x-intercept means y = 0.

So,

y = 11x + 6

0 = 11x + 6

11x = -6

x  = - 6/11

The y-intercept means x = 0.

y = 11x + 6

y = 0 + 6

y = 6

Thus,

The x-intercept is x = - 6/11.

The y-intercept is y = 6.

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Jack sells cars. Last year he sold 30 cars. The next year Jack sold 48 cars. What is the percent of change?

Answers

Answer:

60% increase

Step-by-step explanation:

Take the new minus the original

48-30 = 18

Divide by the original

18/30

.6

Change to percent form

60% increase

help! thank you so much

Answers

Answer:

There are no solutions. Hope this helps! :)

Find the slope between the given points. REMEMBER: Slopes must be simplified.
(8,3) and (-5,3)

Answers

Answer:

Slope = 0

Step-by-step explanation:

Slope = 0/-13 = 0

1x+2x = what?
Will mark brainiest whatever that mean

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

Use the graph shown to complete the following sentence.
when x = 1, then y = ___​

Answers

Answer:

-2

Step-by-step explanation:

On the graph when the X value is equal to 1, the Y value is equal to -2.

(oeerivona, please help me! quick!)
which angles of transformed figures have the same measure as ∠c in figure ABC?

Answers

Answer:

All of them

Step-by-step explanation:

It looks like the transformations that occurred here are reflections, translations, and rotations which are all rigid transformations. Rigid transformations conserve the angle measurements and side lengths of the corresponding image to the original one.

PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:


Which statement best describes the relationship between the positions of the two players?


Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.

Step-by-step explanation:

Have a brainly day!!


Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.



Which transformation of AB will produce a line segment A’B that is parallel to AB

Answers

Answer:

Step-by-step explanation:

A

You start at (7, 2). You move up 5 units. Where do you end?

Answers

Answer:

(7,7)

Step-by-step explanation:

Because going up would be moving along the y-axis, then you would add 5 to the Y value which was 2 so therefore, if you move up 5 you'll be at (7,7).:)

Answer:

(7,7)

Step-by-step explanation:

The second number is the y value so you add five to two and you get seven.

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The home model is a high-volume (54,000 units), half-gallon cylinder that holds 2 1/2 pounds of multi-purpose dry chemical at 480 PSI. The commercial model is a low-volume (10,200 units), two-gallon cylinder that holds 10 pounds of multi-purpose dry chemical at 390 PSI. Both products require 1.5 hours of direct labor for completion. Therefore, total annual direct labor hours are 96,300 or [1.5 hours (54,000 + 10,200)]. Expected annual manufacturing overhead is $1,570,706. Thus, the predetermined overhead rate is $16.31 or ($1,570,706 96,300) per direct labor hour. The direct materials cost per unit is $18.50 for the home model and $26.50 for the commercial model. The direct labor cost is $19 per unit for both the home and the commercial models.The companys managers identified six activity cost pools and related cost drivers and accumulated overhead by cost pool as follows. 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Round overhead per unit to 2 decimal places, e.g. 2.25. Note that due to rounding your total cost assigned will be slightly different than calculated above.)Cost Driver Home ModelCommercial ModelCost Assigned4.) Compute the total cost per unit for each product under ABC. (Round your answers to 2 decimal places, e.g. 12.25.)Home Model $Commercial Model $5.)Classify each of the activities as a value-added activity or a non-value-added activity.ActivityReceiving value-addednon-value-addedForming non-value-addedvalue-addedAssembling value-addednon-value-addedTesting value-addednon-value-addedPainting non-value-addedvalue-addedPacking and shipping value-addednon-value-added A reflection across the x-axis maps the point (4,-5) to the point please help What contributions did Charlemagne make to medieval Europe? 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