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

David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?

Answers

Answer:

18%

Step-by-step explanation:

if i am right

it would be subtract 492- 600 = -108

make this a positive value so 108

and divide it by the actual made amount

108/600 which would be 0.18 multiply this by 100 and you have 18% !!

this is what i remember doing!  

let me know if it helped

A ski club rents cross-country skis. The table below shows the cost of rentals for two and four days. Number 1 2 3 of Days Rented Rental Cost ($) 12 17 22 27 Which explicit formula models the cost of renting skis from the club? o an . = 12 + 5n O an . 10n An = 5 + 5n O an an = 7+5n​

Answers

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D

Answers

Here’s the answer and steps :)

Answer: D

Step-by-step explanation:

What is the slope of (10, 10) and (2, 1).

Answers

Answer:

9/8

Step-by-step explanation:

my work is in the picture. lmk if you'd like me to explain more

find H.C.F of 2x+4 and x^2-4​

Answers

Answer:

(x+2)

Step-by-step explanation:

(2x+4) = 2(x+2)

x^2-4 = (x+2)(x-2)

H.C.F = (x+2)

Hope this helped!

Factor each expression separately.

2x + 4 becomes 2(x + 2).

x^2 - 4 becomes (x - 2)(x + 2).

The highest common factor is (x + 2).

The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.

Answers

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:

are 1/8 and 12.5% equivalent ​QUICK

Answers

Answer:

Step-by-step explanation:

Yes they are equivalent

Hope it helps!

*Gotta go fast*

Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?​

Answers

18/25=0.72
1-0.72=0.28 or 28%

En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?

A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados

Answers

A. 2.6

Sabemos que el ángulo de uptown es 90 y el ángulo de downtown es 90 entonces son congruentes. Si midtown es exactamente la mitad del camino de uptown a downtown entonces la distancia de uptown a midtown es exactamente igual a la distancia de midtown a downtown. Como la línea de upper west side a lower east side es una transversal de la línea uptown a downtown, sabemos que el ángulo de upper,mid,up es vertical al ángulo down,mid,lower y eso significaría que esos did ángulos son congruentes. Usando el ASA theorem (ángulo, lado, ángulo) sabemos que los dos triángulos son congruentes entonces la línea de upper a mid es igual a la de mid to lower
:)))

Which of the following is the graph of f (x + 3)?

Answers

Answer:

I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.

Can anyone help me ?

Answers

Answer:

1

Step-by-step explanation:

The zero of a liner function is where it crosses the x-axis

1 !!

that’s where the line crosses !

Classify the following triangle based on its shape.

Answers

Answer: a right triangle

Step-by-step explanation:

30 POINTS! PLEASE HELP WITH THIS QUESTION!

Answers

Answer: I think it is 8

Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4

then 4 * 4 = 16

16 / 2 = 8

So i think its 8

1) f(x) = - x2 + 4x - 10
Find f(5)

Answers

substitute the x with 5
-(5)2 + 4(5) - 10 = 0

-2q– 32 = 0
q=
and
Som
One
Please
He
Lp
Ple
Ase

Answers

q= -16

(((ignore this)))

2.4x + 4.6x = 28 Could someone help me with this problem I need it.

Answers

2.4x + 4.6x = 7
7x = 28
X = 4

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Combine like terms (x):                    7x = 28Divide 7 on both sides:                    x = 4

Step 3: Check

Plug in x to verify it's a solution.

Substitute in x:                    2.4(4) + 4.6(4) = 28Multiply:                               9.6+ 18.4= 28Add:                                     28 = 28

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?

Answers

Answer:

Step-by-step explanation:210 games

14+13+12... (x2)

The total number of games played is 182.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.

Given that, there are 14 teams and each team plays twice with the other team.

Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Hence, the total number of games played is 182.

Learn more about the permutations:

https://brainly.com/question/1216161

#SPJ2

Need some help with this question!!​

Answers

Is that from the Algebra Nation book? If so, go to Algebra Nation and there are vids that help step by step.

Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?

Answers

Answer:

There's no options but it will get closed

Step-by-step explanation:

Answer:

Step-by-step explanation:

-75.5

6 is a Natural, Whole, and Integer number,
True or false

Answers

Answer:

This is true!

Step-by-step explanation:

It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.

Help ASAP ‍♂️yes or no explanation

Answers

Answer:

yes

Step-by-step explanation:

Yes hg CNN ffjffhjgg CB CNN

Help me pleaseeeeee!!!!

Answers

Answer:

B

Step-by-step explanation:

It's a guess

Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.) a. Same slopes; same y-intercepts b. Same slopes; different y-intercepts c. Different slopes; different y-intercepts d. Different slopes; same y-intercepts Please select the best answer from the choices provided A B C D

Answers

Answer:

its c

Step-by-step explanation:

i just did it in edge hope this helps

Answer:

its c

Step-by-step explanation:

i just did it and got it right

Y=-6x+10. Y=-6x+3

Solve the system of equations

Answers

Given:

The system of equations is

[tex]y=-6x+10[/tex]

[tex]y=-6x+3[/tex]

To find:

The solution of given system of equations.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.

For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.

Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.

Therefore, the given system of equation has no solution.

La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?

Answers

Explicación paso a paso:

Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2

La pelota alcanzó su altura máxima cuando la velocidad es cero.

La velocidad se expresa como dy / dt

dy / dt = 40 - 2 (16) t

dy / dt = 40 - 32t

A altura máxima, dy / dt = 0

0 = 40-32t

-40 = -32t

t = 40/32

t = 1,25 s

Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;

y = 40t - 16t ^ 2

y = 40 (1,25) - 16 (1,25) ^ 2

y = 50 - 25

y = 25

Por tanto, la altura máxima que alcanza la pelota es de 25 m

Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.

Encontrando el máximo.

Sabemos que la ecuación de la altura es:

y = 40*t - 16*t^2

Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.

Para una parabola general:

a*x^2 + b*x + c

El vertice está en:

x = -b/(2a)

Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:

t = -40/(2*(-16)) = 1.25

Para encontrar la altura maxima evaluamos la ecuación en este valor de t:

y = 40*1.25 - 16*(1.25)^2 = 25

Es decir, la altura máxima es 25 pies.

Sí quieres aprender más sobre parabolas, puedes leer:

https://brainly.com/question/12272972

Plz Help...
Find x in the given triangle.

Answers

Answer:

[tex]\huge\boxed{x=2\sqrt{286}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=x\\leg=15\\hypotenuse=37[/tex]

Substitute and solve for x:

[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]

Line v has an equation of y=10/7x + 8. Line W is perpendicular to line v and passes through (-7,4). What is an equation of line w?

Answers

y=10/7x+39 i’m pretty sure this is right tho so good luck!!

ANSWER NEEDED ???????

Answers

The correct answer is -2
Can you mark me as brainliest?

Evaluate each value expression for the given value of x: 3x-13, x=6

LAST ONE HURRY,FAST!!!!!!!!!!!!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

Find the values of x and y.

Answers

Answer:

x = 45°, y = 85°

Step-by-step explanation:

x = 45° ( Alternate angles )

y = 85° ( Corresponding angles )

Other Questions
Choose all of the transformations that are rigid motions. Why did Antonio de mendoza support de nizas expedition Can someone recommend any happy vibes songs for school project and its appropriate please? Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it? (HELP 50 POINTS)In the figure above, point O is located at the centroid of triangle ABC. What is the combined lengths of segments DO and BO?Select one:A. 22B. 25C. 26D. 29 Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart. Which instrument has an enclosed reed and produces a buzzing sound? A. Crumhorn B. Recorder C. Shawm D. Reed organ SUBMIT What is the main purpose of a partys primary elections? Explain three ways in which would revise the US asylum process. Explain what Johnny leaves Ponyboy and why. A rock is dropped from a height of 2.5 meters. What is its velocity when it reaches the ground? A. 3.5 meters/second B. 7.0 meters/second C. 12 meters/second D. 14 meters/second E. 49 meters/second Calculate current assets Sales Revenue $25,000 Accounts Payable $1,200 Accounts Receivable $2,600 Inventory $3,200 Supplies $300 Cost of Goods Sold $16,000 Notes Payable (due in 2 years) $24,000 Equipment $40,000 Accumulated Depreciation $12,000 Land $30,000 Unearned Revenue $1,100 Taxes Payable $1,400 Prepaid Rent (3 months) $2,100 Cash $5,200 Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour? The blueprints show the deep end of the pool as 8 feet below ground, whichis a depth of -8. The city wants the pool to be 5 feet deeper so a divingboard can be installed. What is the time it takes the Earth to make one revolution around the sun called? a equinoxb solsticec solar yeard lunar year There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize. Why are cells are able to harvest about 34% of the available stored potential energy in a glucose molecule? What happens to the other 66%? what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1575 miles, and the sum of their fuel efficiencies was 55 miles per gallon. What were the fuel efficiencies of each of the cars that week? Le ministre de la culture a parl aux habitants de l'importance du patrimoine.