Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x

Answers

Answer 1

Answer:

         x = 35

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35


Related Questions

A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ship separate. He walks at 3 km/hour.
If the container ship is 100 m long, and travelling at 12 km/hour, how long is the oil tanker?

Answers

Answer:

I don't get it

Step-by-step explanation:

On a bookshelf there are 5 paperback books and 3 hardcover books. Is the ratio of books to hardcover books 5 : 3? Explain.

Answers

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x-2=3x+4[/tex]

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

[tex]5x-3x=3x-3x+6[/tex]

[tex]5x-3x=6[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

x is equal to 3 and the correct answer is D. x=3

can someone help me? help​

Answers

Answer:

Step-by-step explanation:

Remove the brackets

3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7  

Combine

3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7

3x^3 17x^2 +6x - 7

in 15 words or fewer , write your own definition of triangle

Answers

Answer:

A triangle is a three sided figure.

Explanation:

A triangle is a polygon with three sides.

i am single also help me wha 1000 times 6 divided by 2 plus 6 divided by 8

Answers

Answer:

6/2 + 6/8

3/1 + 3/4

12/4 +4/4

that is 1

Answer:

3,000.75

Step-by-step explanation:

this is the answer

Is the following sometimes, always, or never true? If two lines intersect to form congruent adjacent angles, then the lines are perpendicular.

Answers

Answer:

sometime

Step-by-step explanation:

i need to do those exercises but i’m not sure how

Answers

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Transversal t cuts parallel lines rand s. Which angles must be congruent to 22?
OA. 23, 26, and 27
OB.
27 only
OC. 27 and 26
OD
23, 25, and 26
Please will make brainiest

Answers

the answer is A 3,6,7

If transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

What is Coordinate System?

Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.

A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.

Congruent angles are two or more angles that are identical to each other.

The angle ∠2 measure is equal  to ∠3.

∠2 measure is equal  to ∠6.

∠6 measure is equal  to ∠5.

The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.

∠3, ∠5 and ∠6 are congruent to  ∠2

Hence, if transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

To learn more on Coordinate system click:

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Find the distance between each pair of points (-2,3) , (-7, -7)

Answers

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

what does f(2)=14 mean

Answers

Answer:

f(x) = expression

f(2) = 14 means that your x-value is 2. when you plug in 2 for x, you get 14 as y.

(F=7) shzgdgshdndtddh sshdnxhdne my gdshz hmmm d gn shdhd

7 ∙ 1 – 4 ∙ 1/4. Please answer!!!

Answers

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Help please, I need it

Answers

Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

So, the circle's equation is ...

  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

__

5) As in the previous problem, the standard form equation is ...

  (x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26

To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

__

6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

  x^2 +y^2 -10x -12y +36 = 0

Which of the following prefixes represents the largest value?
Giga
Hector
Kilo
Milli

Answers

the answer is giga

Step-by-step explanation:

cause giga stands fir 1,000,000,000 1 billion

Answer:

giga

Step-by-step explanation:

What is the answer for this? Ugh I hate study island!!

Answers

Answer:

[tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Step-by-step explanation:

[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]

By combining the like terms,

= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]

= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]

= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]

= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].

Can someone help me with this!! I’ve been stuck for awhile!!

Answers

Answer:

(C) [tex]h = \frac{2a}{b}[/tex]

Step-by-step explanation:

Here we have the formula for the area of a triangle: [tex]A = \frac{1}{2}bh[/tex]. Our goal is to isolate h on one side of the equation.

To do this, let’s treat the rest of the equation as if there were no variables.

Multiply both sides by 2:

[tex]2a = bh[/tex]

Divide both sides by [tex]b[/tex]:

[tex]\frac{2a}{b} = h[/tex]

Hope this helped!

A company wants to develop audio speakers using an inexpensive type of plastic that has a very high quality of sound output. Which customers would most likely give a high evaluation of this product?

those who want to save money and will use the product for only a few years
those who want a top-quality product no matter how much it costs
those who want to save money and use the speakers for a long time
those who want a long-lasting product and are willing to pay a high price

Answers

Answer:

the answer is A

Step-by-step explanation:

those who want to save money and will only use product for a few years

Answer:

those who want to save money  an will use the product for only a few years

Step-by-step explanation:

i took a test on edge 2020!!!

please solve this and show your working out. thanks!

Answers

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

         

Step-by-step explanation:

Solve for y .
K=5yz
help

Answers

Answer: y=K/5z

Step-by-step explanation:

To solve for y, you need to use algebraic properties to isolate y.

K=5yz            [divide both sides by 5z]

K/5z=y

y=K/5z

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are in the drawing. Which dimensions could he use in the scale drawing? Dimensions of Original: Length: 20 feet Width: 25 feet Answers To Choose From: 12.5 inches x 10 inches or 11 inches x 6 inches or 10 inches x 8 inches or 12 inches x 9 inches

Answers

Answer:

D; 21

Step-by-step explanation:

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.

Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?​

Answers

Answer:

15

Step-by-step explanation:

one side is equal to 5. So 5 ×3

the sum of rs 2400 compounded to rs 2646 in 2 years find the rate of interest​

Answers

Answer:

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

           =2646-2400=246

T = I * 100/(P*T)

  = 246*100/(2400 *2) = 5.125%

Step-by-step explanation:

The rate of interest will be 5.125% for the given data.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that the sum of rs 2400 compounded to rs 2646 in 2 years. The compound interest will be calculated as,

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

=2646-2400=246

T = I x  100/(P x T)

T = ( 246 x 100) / (2400  x 2)

T = 5.125%

Hence, the interest rate will be %5.125.

To know more about compound interest follow

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An auto shop has 2 used vehicles for sale, 1 car and 1 truck. The truck is 3 years older than the car but 7 years older than one-half the car’s age. How many years old is the car?

Answers

Ask go glle .....might help

Answer:

The car is 13 years old

Step-by-step explanation:

Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y

    Lets find the value of the Car or x

x + 3 = 1/2(x + 7)------- >

first we will divide x by 1/2 and 7 by 1/2, So...

x + 3 = (x / 1/2 + 7 / 1/2)------- >

x + 3 = 1/2x + 3.5------->

next Isolate variable x,

x + 1/2x = 3 + 3.5

1/2x = 6.5, So...

x = 13 and in turn, y = 13 + 3

:)

A taxi charges $2.00 for the first mile and $1.60 for every additional mile. Rachel is taking a trip that is 4 miles long. How much will she be charged?

Answers

She should pay $6.80
She would pay exactly $6.80

3y + 2 ayuda necesito esto para hoy :(

Answers

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!

Evaluate a+b+c when a=4.035, b= -17, and c=12.3

Answers

The answer will probably be -0.665

Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?

Answers

I don’t really know, but here’s my guess, the farm was 500 acres big, and now he has 150 land.

How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?

Answers

5^5
it would be 5 to the power of 5

Answer:

5 5

Step-by-step explanation:

the second five is small five

describe the discontinutiy for the function f(x)= x^2+5/x-5

Answers

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

Which best describes the dimensions of a plane?
O A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
O Aplane has two dimensions because it is a flat surface that has length and width but no depth.
O A plane has three dimensions because it is made up of exactly three noncollinear points.

Answers

Answer:

c

Step-by-step explanation:

7gd7ts7ts6rs6rsyrs6rstrar

Answer:

A plane has two dimensions because it is a flat surface that has length and width but no depth.

Step-by-step explanation:

wikipedia it

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