- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.

- B Is The Midpoint Of Line Segment AC. If AB = 3x - 8 And BC = X + 12, Find The Value Of X.

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of segment AC, then AB = BC.

AB = BC

3x - 8 = x + 12

2x - 8 = 12

2x = 20

x = 10

Answer 2

As per the given information, the value of x is 10. For understanding, check the calculations provided below.

Midpoint

A midpoint is a point that divides a line into two parts equally.

In the given diagram,

B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.

When a midpoint B divides equally then AB = BC

Given that,

AB = 3x-8 and BC = x+12

B is the midpoint of line segment AC.

So,

AB = BC

Substitute the expression and solve for x

AB = BC

3x-8=x+12

Subtract x,

⇒ 3x-x-8 = x-x+12

⇒ 2x-8=12

Add 8

⇒ 2x = 12+8

⇒ 2x = 20

divide by 2

∵ x = 10

Thus, the value of x is 10.

Learn more information about 'Midpoint' here:

brainly.com/question/4747771


Related Questions

1.20 x 10⁶

6.0 x 10⁵​

Answers

Answer:

[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

Please help quick!!!!!!!!!!!!1

Answers

Answer:

The mean is 6,082,560,000Atlas

Step-by-step explanation:

If you add up all the numbers then divide it by the amount of numbers you added then you will get the mean. In this case, I added all the numbers then I divided that by 3.A reference book of maps is called an Atlas.

Hope I helped!

please help :))))))))​

Answers

I got x is less than or equal to 3

Answer:

Look at the attachment

In the number
23.45, the digit
2 is in the Select...
place.

Answers

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Number 2 is in the tens place.

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

Answers

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

PLEASE HELP IM BEHIND AND SCHOOL IS OUT IN 2 DAYS

Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.

Answers

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

Answer:

Yes, they are equilateral because all of the sides have the same length of 5

Step-by-step explanation:

The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle

William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM

Answers

Answer:

12:00 AM

Step-by-step explanation:

Taking the lodge as the center of the coordinate system, the position of each person is:

William: 6+3*t

Nancy: 5*t

Edgar: 12*t

where t is in hours after 10:00 am

Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.

WN = √[(5*t)² + (6+3*t)²]

Similarly, Between the positions of Nancy and Edgar:

NE = √[(5*t)² + (12*t)²]

If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then

NE = WN + 10

√[(5*t)² + (12*t)²]  = √[(5*t)² + (6+3*t)²] + 10

With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM

Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?

Answers

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?

Answers

Answer:

F(2, 11/2)

Step-by-step explanation:

The expression:

(x-2)² = 10(y - 3)

can be rewritten in the vertex form as follows:

(x-2)² = 10y - 30

(x-2)² + 30 = 10y

1/10(x-2)² + 3 = y

General vertex form is:

y = a(x-h)² + k

then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10

The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:

p = 1/(4*1/10) = 5/2

F(2, 3+5/2) = F(2, 11/2)

Answer:

C is the answer

Step-by-step explanation:

I'm never wrong.

what is equivalent to 1/11?

Answers

Answer:

2/22, 3/33, 4/44

Step-by-step explanation:

Answer:

0.0909 9.09%

Step-by-step explanation:

Mention a few number systems and explain in brief​

Answers

Answer:

Step-by-step explanation:

The  system is common use is the decimal system which is based on 10;

So for example the number 45 :

45 = 4 * 10^1 + 5 * 10^0  and

132 = 1*10^2 + 3*10^1 + 2*10^0.

The single  digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .

Then we have 10, 11 and so on

Then there is the binary system which is based on 2 digits

In this system there are only 2 digits 0 and 1, so

10 binary = 1*2^1 + 0*2*0  which is equivalent to 2 in the decimal system.

111 binary = 1*2^2 + 1*2^1+ 1*2*0  = 4 + 2 + 1 = 7 decimal

Another system is the octal system, based on 8.

The digits are 0,1,2,3,4,5,6,7

So 10 octal = 8 + 0 = 8 decimal

and  17 octal = 1*8^1 + 7* 8^0  =   8 + 7 = 15 decimal.

Can someone help please, thank you.

Answers

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)


One year, a farmer harvested 50,000 bushels of wheat on her family farm.
Three years later, she harvested 12,000 more bushels of wheat from the
same fields. How much wheat did she harvest that year?
A. The change in the amount of wheat harvested
B. The amount of wheat harvested in the later year
C. The area of the farm

Answers

Answer: A hope it helps

i think its a

Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the number be?

Answers

Answer:

The number is 21.

Step-by-step explanation:

First you need to solve for n.

So the equation would be 2n = |5n-63|

First you'd subtract 5n from each side, that would give you -3n=|-63|

Then you need to divide each side by -3 to get n=21.

                       ~~~~~

To check, you can just plug 21 back into the equation.

2(21) = |5(21) - 63|

42 = |105-63|

42 = |42|

42 = 42

Work out the value of 2^3 + 5^2

Answers

8 + 25
The answer is 33

Answer:

33

Step-by-step explanation:

A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.

Please Help!!! DUE NOW!

Answers

Answer: 37

Step by step explanation:

y+29+40+2y=180°( sum of angle in straight line)

or, y+2y+29+40=180°

or,3y+69=180

or,3y=180-69

or,3y=111

or,y=111/3

y=37

hope it helps

Good luck on your assignment

Henry was playing with his marble collection, and decided to challenge his friend Andrew to figure out how many of each color marbles he had. Henry gave Andrew the following clues. "I have x blue marbles. I have four times as many red marbles as blue marbles. I have 5 less green marbles then I do blue marbles." Altogether I have 91 marbles. How many green marbles does Henry have?

Answers

Answer:

11

Step-by-step explanation:

First, set up an equation. Since all the blue marbles+red marbles+green marbles= total number of marbles, we have: x+4x+x-5=91.

x+4x+x-5=91

6x-5=91

6x=96

x=16

Since there are x-5 green marbles, we get the number of green marbles=16-5=11.

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

Answers

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Answer:

A. A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. (on edg.)

Step-by-step explanation:

What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction? m = 3 m = 6 all real numbers no solution

Answers

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

But, the above equation was solved at the condition that:

[tex]m\neq 3[/tex]

So, there is no solution for the given equation.

Answer:

D on Edge2020 (No solution)

Step-by-step explanation:

Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)

Answers

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)

The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.

Answers

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3

Answers

Answer:

it is D = 7, 2, -3

Step-by-step explanation:

step 1

-5 x -1 + 2 = 7

step 2

-5 x 0 + 2 = 2

step 3

-5 x 1 + 2 = -3

hope this help's

Answer: D = 7, 2, -3

Step-by-step explanation:

Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Answers

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test

If two events. A and B, are independent then which of the following is always true about their probabilities?
1) P(A)=P(B)
2) P(A and B)=P(A) P(B)
3) P(A OR B)=P(A) P(B) - P(A and B)
4) P(A and B) = P(A) +P(B)​

Answers

The answer I think is 4?

Answer:

P(A and B)= p(A) * P(B)

Step-by-step explanation:

The Formula for the probability of A and B (independent events) is

p(A and B) = p(A) * p(B).

what is the inverse of the function f(x)= 19/x³

Answers

f-1(x) = ∛(19/x).
Step-by-step explanation:
Let y = 19/x^3
y x^3 = 19
x^3 = 19/y
x = ∛(19/y)
The inverse is therefore
f-1(x) = ∛(19/x).

x^3/x^1/6=x^a value of a in simplest form?

Answers

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

help me please I need help ​

Answers

Answer:

I dont know

Step-by-step explanation:

yes

Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?

Answers

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

Find the volume. SHOW WORK

Answers

Answer:

827.39

Step-by-step explanation:

Volume = L X W X H

So 6.2 X 8.5 X 15.7

6.2 X 8.5 = 52.7

52.7 X 15.7 = 827.39

So the volume is 827.39

Answer:

413.695


Explanation:


V = 0.5 X b X a X h

Where is the largest element in the matrix located? a12 ON a34 a21

Answers

Is there any picture so I can help you?

Answer:

a21

Explanation:
I got it wrong the first two times and this is the answer it gives you.

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