Find the value of x and AB if B is between A and C, AB = 2x, AC = 6x - 5 , BC = 7

Answers

Answer 1

We have AB + BC = AC.

2x + 7 = 6x - 5

2x - 6x = - 5 - 7

-4x = -12

x = -12/-4

x = 3

We both know that x is 3.

We also want AB.

AB = 2x

AB = 2(3)

AB = 6

Did you follow?

Answer 2

Final answer:

The problem deals with the segment addition postulate. By setting up and solving the relevant equation (2x + 7 = 6x - 5), we find that x = 3. Therefore, the length of AB = 6.

Explanation:

The subject of this question is segment addition postulate in mathematics. Given that B is between A and C, it implies that AB + BC = AC. From the problem, it's given that AB = 2x, AC = 6x - 5 and BC = 7. Setting up the equation would yield 2x + 7 = 6x - 5. Solving this equation gives us x = 3. Therefore, by substituting x=3 in AB = 2x we find that AB = 6.

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Related Questions

could someone help me please

Answers

The correct answer is: [D]: "2289.06 cubic centimeters" .
________________________________________________________
Explanation:
______________________________________________________
V = (4/3) * [tex] \pi [/tex] * r³ ;

Given: [tex] \pi [/tex] = 3.14 ;
r = 9 cm ;
____________________________
Solve for "V" ;

V = 3.14 * (9 cm)³ ;

= 3.14 * 729 cm³ ;

= 2289.06 cm³ ; which is: Answer choice: [D]: "2289.06 cubic centimeters" .
___________________________________________________________

sumaya is reading a book with 240 pages.She has already read 90 pages.She plans to read 20 more pages each day until she finishes the book.

a. sumaya writes the equation 330= -20d to find the number of days she will need to finish the book. Identify the areas that sumaya made.

b.Write and solve an equation to determine how many days sumaya will need to finish the book. In your answer, count part of the day as a full day.

Answers

a) Sumaya adds the number of page and number of the pages she already read too gets 330 and -20 is the number page she wants to read.

b) 150 = 20d the answer is about 7 to 8 days

explain :
Zumaya adds 240 page and 90 page she read together. the reason it's wrong because the book only had 240 page, you can't add the page you had read together you need to subtract the 240 to 90 to get 150 to know how many pages she has to read.

1. How is the valuation of current assets affected if the company follows IFRS?
a. Valuation is based on historical cost.
b. Valuation is based on market adjustments.
c. Valuation is based on LCM accounting.
d. Assets are expensed immediately.

2. Many of the accounting standards in GAAP for current asset accounts are _________ with the international standards.
a. converged
b. accordant
c. accrued
d. converted

3. Unearned subscription revenue occurs on the balance sheet as a
a. long term asset
b. long term investment
c. current asset of long term investment
d. current liablity of long term liablity

4. Interest payable is shown on the
a. income statement
b. balance sheet as a long term liablity
c. balance sheet as a current liablity
d. balance sheet as a long term asset

Answers

The valuation of the current assets may be affected will the company follows the IFRS is that the valuation is based on the historical cost. The answer is A.

Many of the accounting standard in GAAP for surrent assets account are converted with the international standards. The answer is D.

Unearned subscription account usually occur on the balance sheet as a current liability of long term liability. The answer is D.

The interest payable is always shown on the balance sheet as a current liability. The answer in this question is C.

What is the slope of the line?
y = -9/10x + -6
Question 8 options:
a) 6
b) 9/10
c) -6
d) -9/10

Answers

D) -9/10

because the slope is the number before the x

The slope-intercept form of the equation of a line is

y = mx + b

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

m, the slope, multiplies the variable x.

m = slope

In your case, you have -9/10 multiplying x, just like m is in the equation I wrote, so the slope is -9/10

Paul's family drove 377 mi to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h .

What was the total time Paul's family spent driving to and from the beach?

Answers

To get the answer you would do 377÷58 which would give you 6.5, that means that going to the beach is 6 hours and 30 minutes. For going home from the beach you would do 377÷65 which would give you 5.8 which means 5 hours and 48 minutes. Every 0.1 is 6 minutes while every 1.0 is an hour. To get to your final answer, you would add together 6 hours & 30 minutes with 5 hours & 48 minutes which would give you 12 hours and 18 minutes since there is 60 minutes in an hour, 48+30=78

Total time driving to and from beach: 12.3 hours; averaging 58 mph there, 65 mph returning home.

To find the total time Paul's family spent driving to and from the beach, we can calculate the time for each leg of the trip and then add them together.

1. Time taken for the trip to the beach:

[tex]\[ \text{Time}_1 = \frac{\text{Distance}_1}{\text{Speed}_1} \][/tex]

2. Time taken for the return trip:

[tex]\[ \text{Time}_2 = \frac{\text{Distance}_2}{\text{Speed}_2} \][/tex]

Given:

[tex]- Distance to the beach, $ \text{Distance}_1 = 377 $ miles\\- Speed to the beach, $ \text{Speed}_1 = 58 $ mph\\- Speed returning home, $ \text{Speed}_2 = 65 $ mph[/tex]

Let's calculate:

[tex]1. \[ \text{Time}_1 = \frac{377}{58} \][/tex]

[tex]2. \[ \text{Time}_2 = \frac{377}{65} \][/tex]

Now, let's compute:

[tex]\[ \text{Time}_1 = \frac{377}{58} \approx 6.5 \text{ hours} \]\[ \text{Time}_2 = \frac{377}{65} \approx 5.8 \text{ hours} \][/tex]

Finally, to find the total time spent driving to and from the beach, we add these times:

[tex]\[ \text{Total time} = \text{Time}_1 + \text{Time}_2 \]\[ \text{Total time} \approx 6.5 + 5.8 \]\[ \text{Total time} \approx 12.3 \text{ hours} \][/tex]

So, Paul's family spent approximately 12.3 hours driving to and from the beach.

The outside temperature was 73°f at 1.p.m and decreases at a rate of 1.5°f each hour. What expression can be used to determine the temperature h(h is the variable) hours after 1.p.m?

Answers

Your expression will be h = -1.5°x + 73°

Final answer:

The expression to represent the temperature 'h' hours after 1 p.m. given an initial temperature of 73°F and a decrease rate of 1.5°F per hour is 73 - 1.5h. This allows us to calculate the temperature at any given hour where 'h' is the number of hours after 1 p.m.

Explanation:

The problem involves dealing with linear equations, specifically those representing changes over time. In this situation, the temperature starts at 73°F at beginning of the time, i.e., at 1 pm and then decreases at a steady rate of 1.5°F per hour.

So, the decrease in temperature can be represented by 1.5h, where h is the number of hours elapsed since 1 p.m. As the temperature starts at 73°f, we subtract this decrease from the initial temperature. Therefore, the expression to determine the temperature after h hours is 73 - 1.5h.

This equation tells us that for each hour after 1 p.m., we simply subtract 1.5 from 73 and this would give the temperature at that time. For example, at 2 p.m., h equals 1, and the equation 73 - 1.5(1) gives us 71.5°F.

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Factor completely 16a^3b^7 + 2a^6b^4 − 22a^4b^5.

Answers

I believe you have to factor 2a^3b^4 out of 16a^3b^7+2a^6b^4-22a^4b^5.
2a^3b^4(8b^3+a^3-11ab)

Answer:

[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]

Step-by-step explanation:

The given expression is

[tex]16a^3b^7 + 2a^6b^4 -22a^4b^5[/tex]

We need to find the factored form of the given expression.

In the given expression [tex]2 a^3 b^4[/tex] is the greatest common factor of all terms.

Taking GCF we get.

[tex]2 a^3 b^4 (8 b^3+a^3 - 11 a b)[/tex]

In can be written as

[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]

This expression is the complete factored form of the given expression because [tex]a^3 - 11 a b + 8 b^3[/tex] can not be factored further.

Therefore, the factor form of given expression is [tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex].

What is three fourths plus two thirds?

Answers

3/4 + 2/3 = 17/12 or 1 5/12
hope this helpes

Answer:
1 [tex] \frac{5}{12} [/tex]

Explanation:
[tex] \frac{3}{4} [/tex] + [tex] \frac{2}{3} [/tex]
Make the denominators equal by finding the least common factor:
([tex] \frac{3}{3}[/tex] • [tex] \frac{3}{4} [/tex]) + ([tex] \frac{4}{4}[/tex] • [tex] \frac{2}{3} [/tex])
[tex] \frac{9}{12} [/tex] + [tex] \frac{8}{12} [/tex]
9 + 8 = 17
[tex] \frac{17}{12}[/tex] can be simplified to 1 [tex] \frac{5}{12} [/tex]

A catering company loses $110 as a result of delay. The 5 owners of the company must share the loss equally. Which integer represents the change in profit for each owner?

Answers

What you have to do first is you have 5 owners correct? Well you take anything they're sharing in this case it's delay/debt, so you divide $110 by 5 and you should get $22. This means that each owner would have to pay $22 to the delay.

The loss of each owner of the catering company is 22 dollars.

What is average?

Average is the sum of the total weights of each individual divided by the number of individuals.

Given that a catering company loses 110 dollars as a result of the delay and the company has 5 owners and they share the loss equally.

As the loss has been shared by the owners equally we have to divide the total loss occurred by the total no. of owners to obtain the amount of loss for each individual which is,

= 110/5 dollars.

= 22 dollars.

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What is the median of 18 and 16

Answers

The median is the middle number. The median of 18 and 16 would be 17.
18 17 16...therefore 17 is the middle number.

the median is the number in between two numbers

In a number line, the order is

16, 17, 18

Because 17 is inbetween 16 & 18, 17 is the median

hope this helps

17 is your answer

An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets that adult tickets. How many tickets did the amusement park sell on Saturday?

Answers

Because the ratio is eight to one and 147 child tickets were sold, an easy way to solve the problem is through cross-multiplication: 8 over 1 times 147 over X. Using this equation, you'd divide 147, the number of child tickets, by 8, the child ticket ratio equivelant. By doing this, you'll find that the adult tickets sold on Saturday was approximately 18 (the answer comes out to a decimal, but for tickets you'd round to the nearest number).

What are the expressions in factored form?

6x^2 + 4x

4x^2 + 11x + 6

9x^2 - 4

Answers

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

4x^2 + 11x + 6 = (4x + 3)(x + 2)

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

2x(3x+2)

(4x+3)(x+2)

(3x+2)(3x-2)

Lance earned 4 times as much money mowing lawns in July as he did in June. He earned a total of $140 during June and July. How much money did Lance earn in June?

Answers

Lance earned $28 in June.

What is the area of rhombus ABCD ? Enter your answer in the box. Do not round at any steps. units² Rhombus A B C D on a coordinate plane with vertex A at 1 comma 0, vertex B at 7 comma negative 2, vertex C at 1 comma negative 4, and vertex D at negative 5 comma negative 2. Point P is at negative 3.8 comma 1.6. Dashed segments join point P to point D and point P to point A, forming right angle D P A.

Answers

We know, that when d₁ and d₂ are diagonals, then area of rhombus is:

[tex]A = \frac{1}{2}\cdot d_1\cdot d_2[/tex]

In this case we have:

[tex]d_1 = |7-(-5)|=|7+5|=|12|=\boxed{12}\\\\d_2 = |0-(-4)|=|0+4|=|4|=\boxed{4}[/tex]

so the area:

[tex]A=\frac{1}{2}\cdot d_1\cdot d_2=\frac{1}{2}\cdot 12\cdot 4=6\cdot4=\boxed{24\,\,\text{units}^2}[/tex]

Answer: 24 Units squared

Step-by-step explanation:

estimate the square root of 25
to the nearest integer

Answers

The square root of 25 is 5.

5 since the square root of 25 is 5.

Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x.
Please explain.

Answers

First you multiply2x1 which is 2so now you know that y=2 right then you multiply 2 x 3=6 6=x for the last you wright YxX = 2 x 6=12.Hope I helped) this is your answer

The equation of the required line is: y=-x-1.

y=2x-1 is in slope intercept form. So the y-intercept = -1.

Given that the line intersects with y=2x-1 on the y-axis. It means the required line also has y-intercpt =b= -1.

Given that: The line is parallel to y=-x.

The slope of y=-x is -1. By comparing with y=mx+b.

Since the lines are parallel. So the required line will also have slope = m= -1.

So the equation of the required line is: y=mx+b or y = -1x + (-1) or y=-x-1.

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△EFG≅△JKL. What is m∠K? Enter your answer in the box. ° Two same size triangles. Triangle L J K and triangle E F G. angle F is 62 degrees. Angle G is 53 degrees.

Answers

If the two triangles are congruent, the measure of ∠K should be the same as ∠F and the same for the others.

m∠E = m∠J , m∠F = m∠K , and m∠G = m∠L.

m∠K = 62°

Simplify 5x + 3y - 2x

Answers

3x+3y because you combine the like terms, and the like terms in this equation are 5x and -2x so together that would be 3x

5x+3y-2x=3x+3y STEPS: 5x + 3y - 2y =5x -2x +3x =3x + 3y

Help me please

If you help me I would appreciate it a lot

Answers

Here are all the answers ( I carefully solved each).

7. 4(8)-2(3)= 26

8. (3/4) (8) (6) ÷ 3= 12

9. 2 (3/4) (6) + 8= 17

10. 6 (1/2) + 8 (3/4)= 9

17. 5(6) + 8(1/2)= 34

18. 2 ( 3×8+6) ÷ ( 10*3)= 2

19. (8+6) ÷ 1/2= 7

20. 3(6) - 2(8)= 2

Please vote my answer brainliest. thanks!

What is the value of c? 14=2c−6+3c Enter your answer in the box.

Answers

2c+3c that would be 5c
add 6 to both sides and you'll get 20
divide 20 by 5
and c=4

The solution of the equation 14 = 2c − 6 + 3c will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

14 = 2c − 6 + 3c

Simplify the equation, then the value of the variable c will be

14 = 2c − 6 + 3c

20 = 5c

c = 20 / 5

c = 4

The solution of the equation 14 = 2c − 6 + 3c will be 4.

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Plsss helppppppp plsssss

Answers

Set up an equation of ratios as shown below:

h 24 ft 4
----- = ---------- = ---
4 6 ft 1

Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)

What Are the partial product of 45x5=?

Answers

Ask your teacher he or she will know

45 times 5 is 225 if this is what you are talking about
Hope I helped

Solve the equation. 2x + 4 = 3x – 2 6 7 3 –2

Answers

-x+4=-2
-x=-6
x=6
x will be 6

441 is 63% of what number????????????????????????????? help

Answers

705.6 will be your answer

Which colors or color schemes are predominant in this artwork?

A. Complementary

B. Intermediate

C. Cool

D. Warm

Answers

A, complementary. Hope it helps.

A hoped this helped

The first four terms of a sequence are given below.
20 , 29 , 38 , 47 , ... What are the next three terms of the sequence?

Answers

This is a simple arithmetic sequence in which each term is separated by 9. This means that the next three terms in the sequence are 56, 65, and 74. Hope this helped!

Which of the following is the graph of y = 4x + 3?

Answers

The graph shown is not the correct graph. The graph of y =4x + 3 will have a y-intercept of 3, meaning it will pass through the point (0, 3). It will also have a slope of 4, so the graph will be a line pointing upward rather steeply.
It will pass through the following points:
(-2, -5) ,(-1,-1), (1, 7), (2, 11), (3, 15).

**Please check my first 2 answers**
8 × 19

A.
(8 × 10) + (8 × 1)

B.
(8 × 20) − (8 × 1) (I choose this)

C.
(8 × 20) − 1

D.
(8 × 10) − (8 × 1)
=========
2(9 + 3)

A.
(2 × 9) − (2 × 3)

B.
(2 × 9) + (9 × 3)

C.
(2 × 9) + 3

D.
(2 × 9) + (2 × 3) (I choose this)
====================
For questions 3–4, simplify using the Distributive Property.

7 × 48

A.
(7 × 50) − (7 × 2) = 350 – 14 = 336

B.
(7 × 40) + 8 = 288

C.
(7 × 50) – 2 = 348

D.
(7 × 40) + (7 x 8) + 7 = 343
==============
9 × 81

A.
(9 × 80) + 1 = 721

B.
(9 × 80) – (9 × 1) 711

C.
(9 × 80) + (9 × 1) =729

D.
(9 × 90) – (9 x 1) = 801

Answers

1. Is A bro im pretty sure

Answer:

1. B. (8 x 20) - (8 x 1)

2. D. (2 x 9) + (2 x 3)

3. A. (7 x 50) - (7 x 2) = 350 - 14 = 336

4. C. (9 x 80) + (9 x 1) = 729

Can you give me some problem that’s as to do with slope or rise over run as many as you want plz I need to study for a test that is tomorrow

Answers

Answer:

hi im also doing it

Step-by-step explanation:

some 4 u to do

tell me answer after ur done

Problems 7and 8 50 POINTS

Answers

Try to add "ft" or "in" next to your answer, making "8 ft" rather than 8. Otherwise, your answer is correct.

Answer:

To find the area of a rectangle, you do Length times width. 11 times 8 equals 88, so the width would have to be 8. To find the perimeter, you add up all of the sides. If the width is 8, and the perimeter is 46, 8+8=16 and 48-16 = 30 then the length is 15.

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