If B is the midpoint of AC, and AC=8x-20, find BC.​

If B Is The Midpoint Of AC, And AC=8x-20, Find BC.

Answers

Answer 1
2(3x-1)=8x-20
SIMPLY

6x-2=8x-20
SUBTRACT 6x ON BOTH SIDES

-2=2x-20
ADD 20 TO BOTH SIDES

18=2x
DIVIDE 2 ON BOTH SIDES

X=9
SUBSTITUTE

3(9)-1

27-1

26

BC=26
Answer 2

Answer:

[tex]BC=26[/tex]

Step-by-step explanation:

Start with:

[tex]AB+BC=AC[/tex]

Since [tex]B[/tex] is the midpoint, we also know that:

[tex]AB=BC[/tex]

Knowing this, we can use a system of equations and substitute [tex]AB[/tex] for [tex]BC[/tex] in the equation we started with:

[tex]AB+AB=AC[/tex]

Let's identify our values:

[tex]AB=3x-1\\AC=8x-20[/tex]

Substitute:

[tex]3x-1+3x-1=8x-20[/tex]

Combine like terms:

[tex]6x-2=8x-20[/tex]

Add [tex]20[/tex] to both sides of the equation:

[tex]6x+18=8x[/tex]

Subtract [tex]6x[/tex] from both sides of the equation:

[tex]18=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]2.[/tex]

[tex]x=9[/tex]

Substitute [tex]9[/tex] into [tex]3x-1[/tex]

[tex]3(9)-1[/tex]

Solve:

[tex]AB=26[/tex]

Remember that [tex]AB=BC[/tex], thus:

[tex]BC=26[/tex]


Related Questions

Please answer all 3 of these for me! I need this done ASAP PLEASE! I need the answer for x and y for all 3 problems!

Answers

(Assuming that all lines are parallel)
18. x= 21 and y= 15

19. x= 16 and y= 10

Honestly not sure about #20

Please help.
This is very hard to me.

Answers

Answer:

Width is 20 inches.

Length is 44 inches.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by the formula:

[tex]P=2(l+w)[/tex]

Where l is the length and w is the width.

We know that the length is 4 more than double the width. In other words, we can write an equation for l:

[tex]l=4+2w[/tex]

Let's substitute this into the above equation. So:

[tex]P=2((4+2w)+w)[/tex]

Combine like terms:

[tex]P=2(4+3w)[/tex]

We are given that the perimeter is 128 (inches). So, substitute 128 for P and solve for w:

[tex]128=2(4+3w)[/tex]

Divide both sides by 2. The right side cancels:

[tex]64=4+3w[/tex]

Subtract 4 from both sides:

[tex]3w=60[/tex]

Divide both sides by 3:

[tex]w=20[/tex]

Therefore, our width is 20.

We can use the length formula we acquired previously to acquire length. We have:

[tex]l=4+2w[/tex]

Substitute 20 for w:

[tex]l=4+2(20)[/tex]

Multiply:

[tex]l=4+40[/tex]

Add:

[tex]l=44[/tex]

So, our length is 44.

And we width is 20.

And we're done!

At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the county is 7 feet below sea level. Answer parts a through c. a. Write an expression using integers to represent the difference between the elevations.

Answers

Answer:

[tex]Difference = 5757\ feet[/tex]

Step-by-step explanation:

Given

[tex]Highest\ Point = 5764\ feet[/tex]

[tex]Lowest\ Point = 7\ feet[/tex]

Required

Determine the difference between the points

The difference is calculated as follows:

[tex]Difference = Highest - Lowest[/tex]

[tex]Difference = 5764\ feet - 7\ feet[/tex]

[tex]Difference = 5757\ feet[/tex]

Write the decimal expansion for 2/9

Answers

Answer:

decimal expansion of 2/9 is 0.2222

Answer:

.2222 (repeating)

Step-by-step explanation:

can someone help please

Answers

Answer:

45 degrees

Step-by-step explanation:

Camila comprou dois livros para ler nessas férias.
Um deles é de ficção científica e o outro é um romance.
Caso termine os dois livros, ela terá lido 450 páginas nas
férias. Sabe-se que o livro de romance tem 60 páginas
a mais que o livro de ficção científica. Denotando por x
o número de páginas do livro de ficção e por yo número
de páginas do livro de romance, é possível descrever
um sistema linear com duas equações envolvendo xe
y com essas informações.
o gráfico que descreve esse sistema no plano
cartesiano é

Answers

Answer:

I will answer in English.

This can be translated to:

"Camila bought two books to read this vacation.  One is science fiction and the other is a novel.  If she finishes both books, she will have read 450 pages on vacation. The novel is known to have 60 pages  more than the science fiction book. Denoting by x  the number of pages in the fiction book and by y the number  pages of the novel book, it is possible to describe  a linear system with two equations involving x and  y with this information. "

First, the datat that we have is:

x + y = 450.

x + 60 = y.

Then we can isolate y in both equations, and have two linear equations:

y = 450 - x

y = x + 60.

Now we can graph those lines, and find the image bellow.

The point where the lines intersect is the solution of the system

We also can find the solution of the system as follows:

y = 450 - x = x + 60

then we can solve this for x.

450 - x = x + 60

2x = 450 - 60 = 390

x = 390/2 = 195

and we know that:

y = x + 60 = 195 + 60 = 255

Then: The science fiction book has 195 pages, and the novel has 255 pages.

A solução para os problemas levantados é:

1. O sistema linear com duas equações envolvendo as informações fornecidas é:

x + y = 450x + 60 = y

2. O gráfico que descreve este sistema no plano cartesiano pode ser encontrado como uma imagem anexa.

Obtenção e resolução do sistema de equações.

Levando em consideração que as variáveis ​​atribuídas são:  

x = Número de páginas do livro de ficção.y = Número de páginas do livro do romance.

A primeira frase menciona que se Camila terminar de ler os dois livros, ela terá lido 450 páginas, portanto, sabemos que a soma das páginas dos dois livros dará um total de 450, e na hora de escrever a equação:

1. x + y = 450

Por outro lado, o depoimento diz que o livro de romance tem 60 páginas a mais que o livro de ficção, ou seja, o livro de ficção mais 60 páginas seria igual ao livro de romance, portanto, a equação seria:

2. x + 60 = y

Agora, você pode resolver o sistema de equações para ver o valor de x, substituindo a segunda equação na primeira:

x + y = 450x + (x + 60) = 450x + x + 60 = 4502x + 60 = 4502x = 450 - 60x = 390/2x = 195

Agora está calculado e com a segunda equação:

x + 60 = y195 + 60 = y255 = yy = 255

Desta forma, você pode ver que o livro de ficção científica tem 195 páginas, enquanto o romance tem 255 páginas.

Se você quiser revisar outros exercícios semelhantes com sistemas de equações lineares, pode ver o seguinte link: https://brainly.com/question/17174746?referrer=searchResults

Caitlyn read a book. She started reading at 9:45 am and ended at 10:37 am. How many minutes did Caitlyn read?

Answers

Answer:

the answer is

52 minutes

Answer:

52

Step-by-step explanation:

947-1037 is 52

Juanita needed 3 and 1/4 hours to take a standardized test, and Jordan needed 5 and 1/2 hours. How much more time did Jordan need than Juanita to take the test

Answers

Answer:

[tex]2\frac{1}{4}[/tex] hours.

Step-by-step explanation:

[tex]5\frac{1}{2}-3\frac{1}{4}=5\frac{2}{4} -3\frac{1}{4} =2\frac{1}{4}[/tex]

To simplify -36 = (2)(3) 2 + 5, we first
divide -36 by 2
multiply the parenthesis
.
evaluate the exponent
O
divide -36 by 6
o

Answers

Answer:

Step-by-step explanation:

We use formula of BODMAS we starting by removing blackets by multiply (2)(3)and w get 6 and then by 2 we get 12 and add by 5 we get 17 and cross 17 to -36 and 17 change to -17 and then take -17-36=-53..

-36=(2)(3)2+5

-36=(6)2+5

-36=12+5

-36=17

-17-36

=-53

Answer:

53

Step-by-step explanation:

An angle measures 155º. What is the measure of its supplement?

Answers

Answer:

25

Step-by-step explanation:

180-155

Plz help ASAP I can't figure this out

Answers

Answer:

1/2 * 4/3 = 4/6 and simpliest form 2/3

Step-by-step explanation:

1/2 ÷ 3/4
The proceeds is called “keep, change, flip”
1/2 x 4/3 =4/6
2/3

Answer is 2/3. Hope that helps

Use grouping symbols to make the following equation true.
5 x 4 = 3²-4=4

Answers

Answer:

(5 x 4)= (3^2 - 4)= 4

Step-by-step explanation:

(5 x 4)=20,

(3^2 -4)= (9-4)

(20)=(5)=4

20/5=4

4=4

Square root
Determine the square root of 196.
use the calculator and submit your answer below.
Submit

Answers

Answer:

14

Step-by-step explanation:

14 x 14 or 14^2

The value of a stock begins at 0.05 and increases by 0.04 each month . Enter an equation representing the value of the stock v in any month m

Answers

Jkkkokjhhg am rulenjkkjjjjjjjjjjjjjjjjjjjjj

Answer:

v=0.04m+0.05

Step-by-step explanation:

i'm not sure if this is right since i haven't done math in forever

Please help I need to know now :(

Answers

I think it’s y^2.
...

Answer:

[tex]\frac{6x*x^{3}}{y^{2}}\\\\[/tex]

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\\frac{1}{a^{-m}}=a^{m}\\\\a^{m}*a^{n}=a^{m+n}\\\\\\\frac{6xy^{-2}}{x^{-3}}=\frac{6*x*x^{3}}{y^{2}}\\\\=\frac{6x^{(1+3)}}{y^{2}}\\\\=\frac{6x^{4}}{y^{2}}[/tex]

A salesperson's daily earnings include $115 per day plus commission equal to x percent (in decimal form) of his daily sales. Write an equation that can be used to find the commission percentage (x), if the sales person's daily sales are $1565 and his total earnings for that day are $240.20.

Answers

Answer:

$ 115 + x

Step-by-step explanation:

is it helpful please tell me

Mr. Richardson has $7,500,000. The tables shows how his investments are distributed. How much does Mr. Richardson have invested, written in scientific notation?

A.1.8×10^6
B.1.8×10^7
C.7.5×10^6
D.7.5×10^7​

Answers

Question:

Mr. Richardson has $7,500,000. The tables shows how his investments are distributed. How much does Mr. Richardson have invested, written in scientific notation?

Answer:

It is D

Step-by-step explanation:

Because it is d

Answer:

Its C

Step-by-step explanation:

You gotta answer each choice see which makes

7,500,000

A= 1800000

B= ,8,000,000

c= 7,500,000

D= 75,000,000

Points A, B, and C are collinear. Point B is between A and C. Solve for x if AC = 3x + 3, BC = 3, and AB = 2x + 2.

Answers

Answer:

x=2.

Step-by-step explanation:

It is given that points A, B, and C are collinear. Point B is between A and C.

Using segment addition property, we get

[tex]AC=AB+BC[/tex]

It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.

[tex]3x+3=(2x+2)+3[/tex]

[tex]3x+3=2x+5[/tex]

Isolate variable terms.

[tex]3x-2x=5-3[/tex]

[tex]x=2[/tex]

Therefore, the value of x is 2.

what is the square root of 1.5

Answers

Answer:

The answer is would be 1.2 or 1.22

Help needed ASAP will give BRAINLIEST

Answers

Answer:

1) I believe the answer is D

Explanation: The square root of 7 is approximately 2.64 which then gets divided by 3 which results in approximately 0.88, then you have to factor in that the problem has only one negative sign; therefore, the answer should be Point D.

Step-by-step explanation:

For the second one turn them into decimals

5/8 = 0.625

2√5 = 4.472

-pi/3 = -1.047

Then rearrange them 2√5, 5/8, -pi/3


Andre, Will, Brice, and Derion scored a total of 70 points a game during
last season. Derion scored of those points, Brice scored 10% of the points
and Andre scored 4 fewer points than three times the points Brice scored.
Which list shows the athletes in order from greatest points per game to
fewest points per game?

Answers

Answer:

just add the answer is 84

Step-by-step explanation:

happy to help if i did can u give me the crown

Someone please help me asap! :)

Answers

Answer:

[tex]a=5m[/tex]

Step-by-step explanation:

[tex]m=\frac{a}{5}[/tex]

Swap sides:

[tex]\frac{a}{5}=m[/tex]

Multiply both sides by 5:

[tex]\frac{5a}{5}=5m[/tex]

[tex]a=5m[/tex]

Answer:

a= 5m

Step-by-step explanation:

a/5=m

5(a/5)=5(m)

a= 5m

What would the exponent be when 9540000 is written in scientific notation?

Answers

Answer:

Step-by-step explanation:

9.54 x 10^6

Point K is the midpoint of ¹segment JL
JK = 2x+4
JL=12​

Answers

Step-by-step explanation:

[tex]2(2x + 4) = 12 \\ 4x + 8 = 12 \\ 4x = 4 \\ x = 1[/tex]

Answer:

why does content bot keep deleting my answers bruhh

Step-by-step explanation:

GIVING BRAINLEST The following is a chemical reaction.
Which side of the chemical Reaction is the REACTANTS,
and which side is the PRODUCTS?
Oxygen
Hydrogen
+
=
Water
2H + 0 = 24,0
AR
Both sides have reactants of the reaction
The left side is the Reactants and the right side is the products
Both sides have products of the reaction
K
The right side is the Products and the left side is the reactancts

Answers

D) left side is reactants right side is products

The side that goes in a reaction is the reactant

The side that comes out of a reaction is the products

Brainliest?

Graph h(x)=4|x +4|+3

Answers

Answer:

Step-by-step explanation:

How many times greater is the population of Illinois than the population of Alaska?

Answers

Answer:

17 times

Step-by-step explanation:

IIIinois : 12670000

Alaska : 731545

12670000/731545=17.31

I’m pretty sure it is 17 times

could someone help me with this?​

Answers

Answer:

The correct answer is 4/-6 which gets me to the same answer as-4/6 which is -2/3.

Answer:

Step-by-step explanation:

-4/6 is equivalent to 4/-6

answer is option 3

Mia has 140 cookies to sell. There are 4 different types of cookies.
1
4 of the cookies are chocolate chip
1
• 7 of the cookies are peanut butter
2
5 of the cookies are M&M
• The rest are sugar cookies
How many sugar cookies are there?

Answers

Answer:

140-14-7-25= 94

Step-by-step explanation:

Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has​ $10.00 to spend. If she buys only oranges and oranges are $0.34 how much oranges can she buy

Answers

Answer:

29 oranges rounding up but the exact answer is 29.41176

Step-by-step explanation:

It would be 29.41176 if you want the answer to be exact. All you're doing is dividing 10.00 ÷ 0.34 and getting 29 oranges :)

Gina can buy 29 oranges for 10 dollars.

What is a decimal ?

A decimal is represented by a dot which separates the whole par and the fractional part of a number.

According to the given question Gina visits her local farm stand to buy apples and oranges to make a fruit salad.

She has​ 10 dollars to spend and she only buys oranges and oranges are 0.34 dollars she can buy (10/0.34) oranges which is

= 29.41. But she can not buy oranges in fractions so the most no. of oranges she can buy is 29.

learn more about decimals here :

https://brainly.com/question/548650

#SPJ2

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