6x - 2 3x + 7 18. Identify the segment bisector of RS. Then find RS. (Section 1.3) M R S​

6x - 2 3x + 7 18. Identify The Segment Bisector Of RS. Then Find RS. (Section 1.3) M R S

Answers

Answer 1

Answer:

m is 7

Step-by-step explanation:

Answer 2

The length of RS is 32.

Given,

M is the bisector of RS

RM = 6x - 2

MS = 3x + 7

We need to find RS.

What does it mean to be a bisector point in a line?

A bisector point in a line divides the line into two equal halves.

Example:

A_____B_____C

B = midpoint

AB = BC

AC = AB + BC

We have,

R_____M______S

RS = RM + MS

M = bisector

RM = MS

RM = 6x - 2

MS = 3x + 7

6x - 2 = 3x + 7

6x - 3x = 7 + 2

3x = 9

x = 9/3

x = 3

Now,

RS = RM + MS

RS = 6x - 2 + 3x + 7

RS = 9x + 5

RS = 9 x 3 + 5

RS = 27 + 5

RS = 32

Thus the length of RS is 32.

Learn more about finding the length of a line with a midpoint in a line here:

https://brainly.com/question/19588188

#SPJ2


Related Questions


Cindy peeled 9 oranges every 24 minutes. At that rate, how many
would she peel in 32 minutes?

Answers

Answer:

12

Step-by-step explanation:

9/24 = 0.375 (how many peeled per minute)

0.375 x 32 = 12

Answer:

12 oranges

Step-by-step explanation:

Step 1:

9/24 = x/32        Equation

Step 2:

24x = 288        Multiply

Step 3:

x = 288 ÷ 24        Divide

Answer:

x = 12

Hope This Helps :)

(PLEASE ANSWER!) Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
3. Write two different equations that represent this situation. Use p for
ounces of popcorn and c for cost in dollars.
4. Choose one of your equations, and sketch its graph. Be sure to label
the axes.

Answers

Answer:

1. 25 cents per ounce

2. 4 ounces.

3. 10x=$2.50 and $2.50x=10

4. I need picture

Step-by-step explanation:

The cost of popcorn per ounce will be $0.25, the amount of popcorn you can buy per dollar will be 4 ounces per dollar, and the equation that represents the cost will be c = 0.25p.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50.

The cost of popcorn per ounce will be

⇒ $2.50 / 10

⇒ $0.25

The amount of popcorn you can buy per dollar will be

⇒ 10 / $2.50

⇒ 4 ounces per dollar

Let p for ounces of popcorn and c for cost in dollars. Then the equation is given as,

c = 0.25p

The graph of the equation is attached below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

How do I solve this?

Answers

Answer:

0.66

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5(3)^2÷9

5(9)÷9

45÷9

5

Using PEMDAS to solve :)

Parentesis

Exponents

Multiplication

Division

Addition

Subtraction

Find the area please ASAP

Answers

Answer:

30 units ^2

Step-by-step explanation:

area of triangle = (base × height) / 2

157 is 16.6% of what number

Answers

157 = .166 x

157/0.166 = x

945.78313253 = x

157 is 16.6% of 945.78313253, which rounds to 946.

The 157 is approximately 16.6% of 945.78313253012 rounded to the nearest decimal place.

To find the number that 157 is 16.6% of,  set up the following equation:

16.6% = 0.166 (since percentages expressed as decimals)

0.166 × x = 157

To isolate x, we divide both sides of the equation by 0.166:

x = 157 / 0.166

Simplifying the division:

x ≈ 945.78313253012

To know more about decimal here

https://brainly.com/question/33109985

#SPJ6

-5+(-7), i need to kno the answer

Answers

-12 is the right answer

Answer:

12

Step-by-step explanation:

first you add 5+7=12 but, it won't be negative because negative and negative cancel each other out making it positive 12 :)

The area of a square garden is 81 ft^2 so what is the length of each side

Answers

Answer: 9ft

Step-by-step explanation: 9•9 is 81

-0.8b = 10.4
what is b to make this equation true

Answers

if we divide 10.4 by -0.8 we get: -0.0769 which is the answer!

Answer:

- 13

Step-by-step explanation:

Step 1:

-0.8b = 10.4       Equation

Step 2:

b = 10.4 ÷ - 0.8     Divide

Answer:

b = - 13

Hope This Helps :)

1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it

Answers

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

------------------------------

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that
models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service
charge?

Answers

Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Step-by-step explanation:

yeah that’s all

The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.

The equation to find the one-time service charge is 93.75 = 17.05x + b

The point-slope form equation is written as:

y = mx + b

Where

m = gradient

b = slope of the line

Liam rented a pedalboard for 5.5 hours and paid a total of $93.75.

Therefore, the cost of renting a pedalboard for 1 hour

= $93.75/5.5

= $17.05

a) An equation in a point-slope form that  models the cost of renting a pedal board for x hours is written as:

y = mx + b

Where

y = Total charge = $93.75

m = Cost of renting a pedalboard per hour = $17.05

x = Number of hours for renting a pedal board

Hence, the equation is given as:

93.75 = 17.05x

b)The equation to find the one-time service charge where the service charge is b is given as

Hence, the equation is given as:

93.75 = 17.05x + b

Where b = service charge

To learn more, visit the link below:

brainly.com/question/24293432

please help for 20 points

Answers

The answer will be 5.9°Fahrenheit

If line b is perpendicular to line a, and line c is
perpendicular to line a, what is the slope of line c?
mc=

Answers

Answer:

y=x-2.5

Step-by-step explanation:

If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

PLEASE HELP ME! (80 POINTS UP FOR GRABS!!)

Which table has a constant of proportionality between y and x of 4?

A.
B.
C.

Answers

Answer: A

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

i don't understand this i need help like helppp please ​

Answers

Answer:

[tex]x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)[/tex]

Answer:

x = 110

Step-by-step explanation:

Assuming you require the value of x

The sum of the external angles of a triangle = 360°

The 3 angles shown are external angles.

Subtract the sum of the 2 given angles from 360 for x

x = 360 - (140 + 110) = 360 - 250 = 110

Convert 8 ounces into grams. Round your answer to the nearest whole number.

Answers

Answer:

227 g

Step-by-step explanation:

it would be 226.8 g

to find grams from ounces, multiply the ounces by 28.35 for an approximaye answer


19. Express 9/4

as a decimal fraction.
Record your answer and fill in the bubbles on your answer document. Be
sure to use the correct place value.

Answers

9/4

(8+1)/4

8/4 + 1/4

2 + 0,25

2,25

In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is

Answers

Answer:

where is the figure and without figure what to do

What are the Slope and the Equation of the Image?

Answers

change in y/change in x

y2-y1/x2-x1

-1--5/0-2

-1+5/-2

4/-2

-2

slope is -2

now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair

y = -2x +b

-1 = -2(0)+b

-1 = b

the equation is

y = -2x - 1

HELP MATH QUESTION!!

Answers

Answer:

The last answer is correct

Step-by-step explanation:

there is a 10 point slope in between 13 and 3

What is the solution to -2(8x-4) is less than 2x+5?

Answers

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!

Jesse is reading a book that is 216 pages long. He is on page 88. What percentage of the book has he read?

Answers

Answer:

40.74

Step-by-step explanation:

Answer:

[tex]190.08\%[/tex]

Step-by-step explanation:

[tex] he \: had \: read \: \frac{88}{100} \times 216 = 190.08\%[/tex]

What is the system of measurement used most often in the United States?



A: customary

B: converted

C: metric

D: similar

Answers

Answer:

A: Customary

Step-by-step explanation:

United States customary units (U.S. customary units) are a system of measurements commonly used in the United States since it was formalized in 1832.

the answer is:

A: customary

Yw!!!

The blade of a windmill turns 60 times in 2 minutes. How many times does the blade turn in 15 minutes

Answers

Answer:

450

Step-by-step explanation:

60 divided by 2= 30

it spins 30times per minute

30 times 15= 450

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.

Student
Number of Flips
Ana
50
Brady
10
Collin
80
Deshawn
20

Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

Answers

Answer:

Collin with 80

Step-by-step explanation:

Because he has the most flips, therefor he can most closely predict the number of heads up landings

Answer:

The correct answer is C.

Step-by-step explanation:

Collin is most likely to find that the actual number of times his coin lands heads up most closely matches the predicted number of heads-up landings.

Hopefully, this helps! :D

Ask your question below!

Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a​ function?
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.

Please answer this question for me PLEASE!! Legit answers only!
Fill in the blanks with the correct answer/option

Step 1 answer options
1.variable or constant
2. $294, $150, $175, $450

Step 2 Initial value/y-intercept = /answer options
1. $150, $450, $575, $350

Step 3: Slope intercept form :
y=450x + 575
y=294x + 450
y=150x + 575
y=450x + 150

Answers

Answer:

$150, $575, y=150x+575

Step-by-step explanation:

hi! the first answer is $150 because the slope is the change in y values divided by the change in x values.

(1625-1175)/3 = 150

the second answer is $575 because the y-intercept is the y value at x=0. the savings amount increases by 150 every month, so to get to 0, we multiply 150 by 4, which is 600. we subtract this from 1175, which is 575.

the third answer is y=150x+575 because the initial amount (y-intercept) is 575 so it is constant, and it increases by 150 every month (therefore accompanied by a variable).

hope this helps!

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.

Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

Answers

Answer:

4th option is coreect

Step-by-step explanation:

Answer:

4th answer is correct.!

Step-by-step explanation:

Kylie has $2.10 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Kylie has.

Answers

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

Finding the system of equations:

First, let's define the variables, we will use:

x =  number of nickelsy = number of dimes.

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Solving the system of equations.

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

The sum of t and 7 is less than -3

Answers

if your asking for the equation, it's t + 7 < 3

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

After w weeks, you have (10w +120) dollars in your bank account, how much money do you have after 5 weeks?
Please help me!!!!

Answers

Answer:

$170 (i think)

Step-by-step explanation:

if you have (10w + 120) after w weeks, im thinking you would multiply 10 by 5 for the number of weeks and then add that to 120, which would be 170.

170 dollars I believe
Other Questions
Who was Alexander Graham Bell? 3. How can you connect the shoulder and back muscles to muscular endurance?Think about the definition above and how might you make a goal for yourshoulders or back that fits the muscular endurance component of fitness? he Freedmens Bureau provided which of the following? A. schools B. free land C. transportation to the North D. weapons Complete the division problem by determining the number that should be placed in the box.Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem. Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Elis phone to the number of games on his sisters phone?6:137:136:77:6 f(x) = x + x; f(1)?? 1. Which inequality represents the following statement? Two times the quantity x plus 4 is greater than 10. a.2x + 4 > 10 b.2(x + 4) > 10 c.x+4 > 10 d.2(x + 4) = 10 A ball falls from a window. Its height, as a function of time, is modeled byy=-4.9x^2 + 12Which statement best describes the function?A. The function is nonlinearB. The function is linear at some points and nonlinear at other points.C. Not enough information is given to decide,D. The function is linear Pyramid Products Company has a revolving credit agreement with its bank. The company can borrow up to $1 million under the agreement at an annual interest rate of 9 percent. Pyramid is required to maintain a 10 percent compensating balance on any funds borrowed under the agreement and to pay a 0.5 percent commitment fee on the unused portion of the credit line. Assume that Pyramid has no funds in the account at the bank that can be used to meet the compensating balance requirement. Determine the annual financing cost of borrowing each of the following amounts under the credit agreement: a. $250,000 b. $500,000 c. $1,000,000 ASAP. I will give brainlies to right answer!!! Three grams of the same substance in different phases are stored in three different containers. Each container is barely large enough to hold the substance.Which statement can be known about the behavior of the atoms in each container?The atoms in the solid would be moving vigorously around the container.The atoms in the liquid would be vibrating in position.The atoms in the solid would be vibrating in position.The atoms in the gas would be moving slowly around the container. Arrange the events in the order in which they happened. List each of these events in order from what happened first to what happened last.- The Akkadians establishthe world's first empire.- Nebuchadnezzar rules theNeo-Babylonian Empire.- Ancient Sumer developsself-governed city-states.- King Hammurabi createshis code of laws. During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted? A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of of a pound of fudge each. How many packages does he make? A 1/16B 1C 8D 16 143.596 rounded to the nearest hundredth I NEED HELP ASAP PLZZZ!!!!!!!!!!!!! equation not in slope intercept form. 3y=9x-24 Something I wish my teacher knew about me.. What did Physics say to History when they are arguing? You want to buy some beans. An 8-ounce package costs $2.88. A 14-ounce package costs $4.76. A 20-ounce package costs $7.40. Which package is the Best Buy? Alex is x years old. Addison is y years younger. Find their combined age in 10 years time.