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

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

Answers

Answer 1

The Definition Of a Midpoint says that is B is the

midpoint of segment AC, then segment AB ≅ AC.

Since segment AB ≅ segment BC, we can setup

the equation 2(3x - 1) = 8x - 20 and we can solve from here.

Start by distributing the 3 through the parenthses on the left side.

So we get 6x - 2 = 8x - 20.

Now subtract 8x from both sides to get -2x - 2 = -20.

Now add 2 to both sides and we have -2x = -18.

Finally, dividing both sides by -2, we find that x = 9.

If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.


Related Questions

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee
shop. Draw their respective line segments in the above graph. If the school is relocated in a way that it
is collinear to the coffee shop and the library and distance to the coffee shop is preserved, then the
point representing the school will partition the line segment from the coffee shop to the library in a x: y
ratio. What are the values of x and y

Answers

Answer:

See belowRefer to https://brainly.com/question/17682609 for more details of the question

Step-by-step explanation:

Refer to attached. All answers included.

Note. Will mainly refer to y-coordinates in distance questionsPart ADistance from coffee shop to library: 16 -8 = 8Distance from coffee shop to school: 16 - 10 = 6 = xDistance from school to library: 10 - 8 = 2 = yRatio x:y = 6: 2 = 3:1Part BDistance from Sergio's home to Saskia's home: 19 -3 = 16Distance from Sergio's home to Post office: 16*1/4 = 4Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15Part CDistance from Kay's home to twin theater: 20 - 4 = 16Distance from twin theater to market: 16*3/4 = 12Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

Can someone please solve this 4x+4(x-6)=3(2x+4)

Answers

Answer:

x = 18

Step-by-step explanation:

4x+4(x-6)=3(2x+4)

distribute

4x+4x-24=6x+12

combine like terms

8x-24=6x+12

carry across equal sign

2x-24=12

carry across equal sign

2x=36

divide

x=18

Answer:

X = 18

Step-by-step explanation:

4x + 4(x -6) = 3(2x + 4)

4x + 4x -24 = 6x + 12

8x -24 = 6x + 12

    +24         +24

8x = 6x + 36

-6x   -6x

2x = 36

Divide 2x and 36 by 2

X = 18

Need help please. Please help me.

Answers

Answer:

Exact Form:

2/45

Decimal Form:

0.04 (4 being repeated)

Question 8

A science club rents a bus for a trip to a state park. The bus rental is
$350, and admission to the park is $8 per person. The cost of the bus
rental will be shared equally. Write an expression that can be used to
determine the cost of the trip for each club member.

Answers

8x + 350
This is because each person has to pay 8 dollars and everyone combined has to pay 350 for the bus rental

Let m be the number of club members.

Since they will share the $350 cost of the bus equally, then each member pays 350/m dollars for their share of the bus cost.

The admission is $8 per person, so the total cost per person is;

[tex]\frac{350}{m} +8[/tex]

8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?​

Answers

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number

Answers

Answer:

4n-8

Step-by-step explanation:

With n representing the unknown number.

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number.

Let the number be n.

Then the product of 4 and n will be 4n.

Then the expression that represents "8 less than the product of 4 and a number" will be

4n - 8

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated
2) AC = x + 2, BC = 1, and AB = 2x - 4.
Find x, AB, and AC.

Answers

Answer:

            x = 5             AB = 6             AC = 7

Step-by-step explanation:

Points A, B, and C are collinear and point B is between A and C then

AB + BC = AC

2x - 4 + 1 = x + 2

2x - 3 = x + 2

   +3          +3

2x  =  x + 5

  -x     -x

  x  =  5

AB = 2x - 4 = 2×5 - 4 = 10 - 4 = 6

AC = AB +BC = 6 + 1 = 7

i need help with this qurstion
-2 (4z - 4) = 10 - 6z​

Answers

I think it’s z=1 hope this helps

Answer:

z=-1

Step-by-step explanation:

-2(4z-4)=10-6z

First, distribute the -2 into the parenthesis to get:

-8z+8=10-6z

Then, add 8z to each side to eliminate it from the left side to get:

8=10+8z-6z

Simplify the right side and combine the z's:

8=10+2z

Subtract 10 from BOTH sides to get:

-2=2z

Finally, to get z alone, divide everything by 2 to get:

-1=z or z=-1

1.4.AP-9
The temperature in some region of Alaska equals 12° F. Convert this temperature to Celsius.
12°F='c (Round to the nearest tenth of a degree as needed.)

Answers

Answer:

-11.1

12°F= -11.1°C

Sorry if I'm late to answering..

The temperature of Alaska in degree celsius will be -11.11°C.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example, kilo gram to gram.

Given the temperature of Alaska 12° F.

Since we know,

°C = 5/9(°F - 32)

Given that.

°F → 12°F

So,

°C = 5/9(12 - 32)

°C = 5/9(-20)

°C = -11.11

Hence "The temperature of Alaska in degree celsius will be -11.11°C".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

Which of the following numbers would appear first if we were listing the numbers in descending order?

Answers

I believe the answer is -1.2

Plz answer this as well. Thankyou.

Answers

Answer:

21

Step-by-step explanation:

(-5-2)(-3)

= (-7)(-3)

=21

3. Solve : 16x + 2] > 1 2

Answers

Answer:

x > 5/8

Step-by-step explanation:

[16x+2] > 12

16x > 12 - 2

16x > 10

x > 10/16

x > 5/8

Answer:

Step-by-step explanation:

16x + 2 > 12

16x > 10

x > 10/16

x > 5/8

A plane flies x mph. How far can it go in y hours? Which expression represents this?

x/y miles
x + y miles
xy miles

Answers

Answer:

xy miles

Step-by-step explanation:

Answer:

xy miles

Step-by-step explanation:

cus i said so

Help me please,what is the value of C-F?​

Answers

Answer:

B = - 0.75

C = - 0.25

E = 0.25

F = 0.75

Four friends buy cinema tickets using this offer.

Cinema tickets
Buy 3 tickets and get a tickets free
They each pay £6.15
How much does a ticket cost

Answers

Answer:

Step-by-step explanation:

The cost of one ticket will be  £8.20

Explanation

Suppose, the cost of one ticket is  

As the offer says "buy 3 tickets and get a ticket free" , it means they actually need to pay for 3 tickets.

So, the total cost of 3 tickets  

Each of four friends pay £6.15 , so the total amount they pay  

=£6.15*4=£24.60

Thus, the equation will be .....

=3x=24.60

=x=24.60/3=8.20

 So, the cost of one ticket will be  £8.20

A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour

Answers

Answer:180

Step-by-step explanation:

Bryan has a prepaid cell phone with a balance of $75. He is charged the same rate per minute. Which function represents the balance on the phone after (n) minutes?

Answers

Answer:

36 minutes

Step-by-step explanation:

i have a different saying this so dont get mad

Overnight, the temperature in Mayville was – 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added – 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?

Answers

Answer:

She is correct. If you add 11 degrees to -4 degrees, you get 7 degrees.

Step-by-step explanation:

-4 + 11 = 7

Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house?

Answers

Answer: 2048SF

Step-by-step explanation:

From the question, we are informed that Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home.

We are further told that the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width. Since the garage measured 16' in depth which was half the depth of the house, this means that the total depth of the house will be:

= 16' × 2

= 32'

Therefore, the GLA of the house will then be the full depth of the house multiplied by the screened porch. This will be:

= 32' × 64'

= 2048SF

Write 6.45 as a mixed number in simplest form.

Answers

Answer:

6 9/20

Step-by-step explanation:

6.45=645/100 = 129/120

= 6 9/20

Are angles 1 and 2 a linear pair? Yes or no.

Answers

Yes because they are equal values
No... a liners pair =180 so the linear pair of this would be 1,2 AND 3

Hi! I need help on this one. Hope there's someone willing to help!!

Answers

2 of 5 is a 40% chance

40% * 40 = 16

He should expect to be stopped 16 times.

Can someone please help I’m very confused

Answers

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

Answer:

(0, -26/3)     (3, -14/3)

Step-by-step explanation:

y+6 = 4/3x - 8/3

y = 4/3x - 26/3

(0, -26/3)

-26/3 + 4 = -14/3

 (3, -14/3)

What operation is included as part of a fraction? Multiplication Division Addition Subtraction Explain your thinking.

Answers

The answer should be division because when you have a fraction you are basically dividing the top number by the bottom number.

A crate to ship boxes of baseballs can hold 4 boxes that are each (6 x 6) * 2. How
many baseballs can be shipped in the crate, if each baseball takes a 1x1x I space?
Show your thinking using words, numbers, or labeled sketches.

Answers

Answer:

Each crate can contain 288 baseballs.

Step-by-step explanation:

Since one baseball takes up 1 × 1 × 1 space, and each box has 6 × 6 × 2 units of space, then the number of baseballs in one box is 6 × 6 × 2 ÷ 1 × 1 × 1 = 72 baseballs.

So, 72 baseballs can be contained in one box.

Now, since each crate contains 4 boxes, the number of balls contained in each crate is 1 × 4 boxes = 1 × 4 × 72 baseballs = 288 baseballs.

So each crate can contain 288 baseballs.

A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B

Answers

Answer:

200 miles

Step-by-step explanation:

Company A

Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2x

Company B

Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6x

Assume x miles that makes same amount for both options, then:

130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 miles

5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6

Answers

it is 10.63

Step-by-step explanation:

Used a calculator

through: (-2,-2), slope = 1/2

Write the slope-intercept form of the equation of the line through the given point with the given slope.​

Answers

Answer:

The answer is

[tex]y = \frac{1}{2} x - 1[/tex]

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x - 1[/tex]

Hope this helps you

if iq scores are normally distrubuted with a mean over 100 and standard deviation of 17 and if the population of the world is 6, 575, 000,000 how many geniuses are there in the world today

Answers

Answer:jenlso helmaiv eksin

Step-by-step explanation:

BRAINLIEST TO THE FIRST 2 TO ANSWER

Answers

Answer:

ab + b²-ac-bc

b(a+b) -c(a+b)

(a+b) (b-c)

Step-by-step explanation:

Answer:

C. (b-c)(a+b)

Step-by-step explanation:

This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.

(b-c)(a+b) expanded:

ab +b^2 -ac -bc

Hope this helped!

Other Questions
What is a unit for gas particle pressure? (Choose all that apply)torrkPamm Hgatm Solve for h. -18+7h>12+9h WHAT DO SCIENTIST DO WHEN THEY RUN AN EXPERIMENT help for brainliest.......... which of the following is an example of trust A deposit of $1000 at 4% interest compounded continuously will grow to v(t) = 1000 e^0.04 dollars after t year. Find the average value during the first 40 years (that is, from time 0 to time 40.) Fill in the blank in the following sentence with the appropriate form of theverb poder below.Nosotros noestudiar esta noche.A. podemosB. poderC. puedenO D. podis The original temperature is 29.9 the temperature decreases by 8.7 and then again by 17.8 what is the final temperature? Read the facts about the lost city of Atlantis.The Greek philosopher Plato told a story in the fourth century BCE about a great sea kingdom called Atlantis.According to legend, Atlantis was a wealthy and powerful country that traded extensively and was swallowed up by the sea.In the nineteenth century CE, a civilization called the Minoans was discovered to have lived on the island of Crete.Scientific evidence suggests that the Minoan culture was destroyed by a tsunami.How did the discovery of the Minoan culture most likely impact historical conclusions about Atlantis?It proved that other historical writings of Plato were also true.It confirmed Platos story and proved that Atlantis was on Crete.It changed nothing because there is no solid evidence linking the Minoans to Atlantis.It provided scientific evidence that the civilization of Atlantis may actually have existed. plz help!!!! (click on the pic) In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.What is the weight of gold in the alloy, if there are 80g of silver? Complete the sentence to explain who the family member is: La fille de ma tante est ma ________.Complete the sentence to explain who the family member is:Le frre de mon pre est mon________.Choose the answer to the following question:Comment est ta mre?Choose the answer to the following question:Qui est en France? how many 16ths are in 3/8 of an inch A student combined equal amounts of two solutions. One solution had a pH of 2 and the other had a pH of 12. Which would most likely be the resulting pH? 1 3 6 11 A recipe for chili uses 2 cups of beans. Keith is making 1, times the recipe. Which equation helps Keith find how many cups of beans he needs? What is an Individual Asynchronous Communicator? And provide 2 examples of people who are like that ELLOS___ A LA MEDIANOCHE. (DORMISE) (O>UE) Complete the following analogy. General is to army as nervous system is to body. TRUE OR FALSE Name at least 2 groups of people who have influenced the cultural history of Piney Woods What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22?9143104