M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.

M Is The Midpoint Of CB, CM = 3x+1, And MB = 5x9.Determine The Value Of X.

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x        -3x                     the x's on the left cross out

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

 1 = 2x - 9

+9         +9                      having x on one side

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

10 = 2x

__________________________________________________________

Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2     /2

----------

5 = x

Solution: x = 5

__________________________________________________________

Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

__________________________________________________________

Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

__________________________________________________________

Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

__________________________________________________________

Answer 2

Applying the knowledge of midpoint of a segment, the value of x = 5.

Given:

[tex]CM = 3x+1\\\\MB = 5x-9[/tex]

To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.

Since M as a midpoint of CB, will divide CB into equal segments.

Thus:

Given that M is a midpoint of CB, therefore,

[tex]CM = MB[/tex]

Substitute

[tex]3x + 1 = 5x - 9[/tex]

Collect like terms

[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]

Divide both sides by -2

[tex]x = 5[/tex]

Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.

Learn more here:

https://brainly.com/question/17877300


Related Questions

Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?

Answers

mya should put 3/5 in each serving.

10x f ( 7 ) + 9 x g(-1) =

Answers

Answer:

what are you trying to look for the variables or answer?

Step-by-step explanation:

Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis

Answers

Answer D is correct

solve for x:x+3.17=12.78

Answers

x=9.61 you subtract 3.17 from 12.78 and get 9.61

Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins

Answers

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and  [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

What is the solution of the equation modeled below?

Answers

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Answers

Answer:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Step-by-step explanation:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry

Answers

I so the first one the solution is -238.6 hope it helps

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10

Answers

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions

Answers

The answer is no solution

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(

Answers

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

Please help !!! I don't understand

Answers

Answer:

P=160+6x

Q=x+40

H=4x-5

P+Q+H=180...P=61.82

don't guess!! pls help!!
THERE'S 4 IMAGES.

Answers

Answer:

pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2

Step-by-step explanation:

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

what is the x variable and y variable? ​

Answers

Answer:

x is the hours worked and y is the money earned

Step-by-step explanation:

Usually the x variable is the independent variable

The independent variable is the variable that does not rely on anything

The y variable is the dependent variable

The dependent variable is the variable that relies on the independent variable

In this case the money earned depends on how many hours you work for

I hope this helps :)

Answer:

I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff

what is 4/7 in the lowest terms

Answers

Answer:

4/7 is already in lowest terms

‼️Help please‼️
A tank full of water is leaking at a constant rate for 30 minutes. The equation y= -7x + 300 gives the amount of water in the tank, where y is the number of liters and x is the number of minutes since the tank began to leak. Which statement is true?

Answers

Answer: A

The answer should be A. you probably answered the questoion alr so sorry if you got it wrong

Step-by-step explanation:

it should be A because its not C and D, and B doesnt make sense because it never mentioned anything about 20 minutes.

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

Triangles ABC and DEF are similar. Find e.

A.) 11
B.) 12
C.) 10
D.) 9

Answers

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

The answer is C.10 (:

Help I mark brainliest

Answers

Answer:

[tex]-\frac{1}{5} t^{15}[/tex]

Step-by-step explanation:

sry if im wrong

What is the answer to each problem? Please hurry :)

I will give Brainlest to whoever answers correctly, thank you.

Answers

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

x/6+12=(-12). solve for x

Answers

If 6 is the denominator of the first part of the equation then x=-144

Answer:

x=-144

Step-by-step explanation:

[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides

[tex]\frac{x}{6}=-24[/tex] multiply by six

x=-144

+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.

Answers

Answer:

Step-by-step explanation:

Given:

AB ≅ AD

AC ⊥ BD

To Prove:

ΔBAE ≅ ΔDAE      

                 Statements                        Reasons

1). AB ≅ AD and AC ⊥ BD             1). Given

2). AE ≅ AE                                   2). Reflexive property

3). ΔBAE ≅ ΔDAE                         3). HL postulate of congruence

Please help look at the picture

Answers

Answer:

The correct answer would be D

Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week

Answers

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

The question is in the link pls help a student out guys this is my a question for my end of semester.

Answers

Answer:

4 <= pen weight <= 10

Step-by-step explanation:

<= , less than or equal to

Other Questions
PLEASE HELP!!!? Are humans an invasive species? Why or why not. GIVE TWO PIECES OF EVIDENCE TO SUPPORT YOUR OPINION. Qu significa los siguientes conceptos: disciplina Which statement is true Every 6th customer at the flower shop receives a free rose, and every 9th customer receives a free lily. Which customer will be the first to receive a free rose and a free lily? loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price Just wanna get to know yall SOOOOOOOOOOO, whats your fav part of thanksgiving and or Christmas.My fav part of thanksgiving is that we all get to go in the kitchen and cook that really good food for your family and when they say thins is great you get that good feeling in your stomach(it might be the food)My fav part of Christmas is putting up the tree and rapping the gifts.Ill give brainliest for the best one... will give BRAINLIEST Find the area of each circle. Round to the nearest tenth. a number b divided by -3 is greater than or equal to 6 Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figureA. ( -7,5)B (-3 ,7)C (2,5)D(3,-7) What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about) i do not tell a lie change into passive voice PLEASEEEEEE HELPPPPP ASAPPPP EddieEddie is a wealthy tea merchant in Boston. Eddies goal in life is to make money and he doesnt care if he violates the law. Since the Townshend Acts placed a tax on tea, Eddie has been illegally importing tea from the Dutch. His ships frequently have to hide from the British navy and British customs officials who can board his ships whenever they please. Recently he was caught smuggling in tea, but fortunately he was able to buy off the official with a large sum of money. Friends have informed Eddie that the Royal Governor of Massachusetts has issued an arrest warrant for him, and friends advise him to go into hiding.Patriot Loyalist NeutralReason for decision: what is (567x237)x(467x939)i will mark brainliest Which detail best completes the summary?A) But when Charles tried to mesmerize Franklin, nothing happened.B) He realized that Charles was even more powerful than Dr. Mesmer.C) He put a blindfold on and asked Charles to mesmerize him next.D) So when it was his turn for treatment, Franklin worried he might faint. what's the slope intercept form A mixture of octane, C8H18, and air flowing into a combustor has 60% excess air and 1 kmol/s of octane. What is the mole flow rate (kmol/s) of CO2 in the product stream? Which values represent solutions to the equation? Tan(3Pi/4-2x)=-1, where x = [0,pi] Who won the presidential election?Explanation, please. "The Constitution gives the national government too much power at the expense of the state governments. It gives the government the power to tax the people and to raise and keep an army. As a result, it would be a matter of time before state governments are destroyed"identify whether this is a federalist or anti federalist point of view.