Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7

Answers

Answer 1

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

Answer 2

c. The value of x is 3

What is line segment ?

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

What is the value of x ?

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

Learn more about Line segment here :

https://brainly.com/question/280216

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Related Questions

Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

48π ft2
60π ft2
96π ft2

Answers

Answer:

60π ft2

Step-by-step explanation:

The formula for the lateral surface area of a cone is: πr [tex]\sqrt{h^{2} + r^{2} }[/tex]. You substitute the h for the height and r for the radius and tada! 60π ft2!

what is 2 with an exponent of negative 2 equal to?

Answers

Answer:

So since we have 2^-2 We can do 1/2^2  = 0.25

So if you have y^-x = 1/y^x

Answer:

1/4

Step-by-step explanation:

negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:

2⁻² =1/2² = 1/4

Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3

Answers

Answer:

B

Step-by-step explanation:

In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?

Answers

Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891

what’s the best answer ???

Answers

Answer:

Option A

Step-by-step explanation:

Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,3) and (3,1).

[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]

Option A should be the correct answer.

i would say the answer is -2/7

I got a photo of the problem dude I need help I'm in an exam and I am cluelessssss

Answers

Answer:

0.84

Step-by-step explanation:

1 - 0.4(0.4) = 1 - 0.16 = 0.84

Simply take the probability of the the outcome that is not " at least 1 win", which is the probability of 2 losses;

To find the probability multiply the probabilities along the branches.

Answer:

The answer might be 0.84. I hope this helps please tell me if its right or wrong.

Step-by-step explanation:

Which algebraic expression represents this phrase? The product of 34 and the number of pounds

Answers

Answer:

D. 34 * p

Multiply them dude...

Answer:

D. 34 · p

Step-by-step explanation:

Product means multiplication, so the product of 34 and p is 34×p or 34·p

Hope this helps,

plx give brainliest


Which equation describes the circle with center (5, -1) and
radius 4?

Answers

Answer:

[tex](x-5)^2+(y+1)^2=4^2[/tex]

Step-by-step explanation:

The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

[tex](x-5)^2+(y+1)^2=4^2[/tex]

using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?

Answers

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?

Answers

1/2 for coin and 1/2 for dice(depends of 3 is included) or 1/3 since it’s less than 3 they just want 1,2 so 1/3

A.3/4
B.4/3
C.-4/3
D.-3/4
I need help so bad pls

Answers

I’m pretty sure that it is b
The answer is B or C and if it’s not then my bad

pls answer will reward with brinliest!!

Answers

Answer:

She will raise 6 dollars a week and the total donation will be 600 dollars.

Step-by-step explanation:

Answer: 1. she will raise $6 per week.  2) $600

Step-by-step explanation:

30/5 = 6   she will raised $6 per week.

so her total donation will be $200 because she is raising $30 more.

Now if her father matches the her total then she will now have $400 because her father doubles it.

Now her mother will also add the same amount which will make it $600

because $400 + $200 = $600.

​3x-2≤5(x+2) . show all steps please.

Answers

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

[tex]3x-2\leq 5x+2[/tex]

to see if it is true

x=2

6-2

[tex]6-2\leq 10+2\\4\leq 12[/tex]

it is true

Find the slope of the line. please. help.

Answers

Answer:  the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2

Answer:

1/2

Step-by-step explanation:

Slope is change in y over change in x.  The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 .  Therefore, the slope is 1.5/3 which simplifies to 1/2

PLEASE HELP, BEEN STUCK FOR AN HOUR!!

Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.

Function g is represented by the table.

x 0 1 2 3 4
g(x) 75 43 27 19 15

Which statement correctly compares the two functions on the interval [0, 4]?

A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

Answers

Answer: C. 

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

Step-by-step explanation:

Let first work out g(x)

When x = 0

g(x) = 75

When x = 1

g(x) = 75( 1 - 50%)

g(x) = 75(0.5) = 37.5

Which is less than 43

With this, we can conclude that:

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

Answer:

Step-by-step explanation:

The awnser is c because the person above me was right

Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.

Answers

Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

Answer:

Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.

Step-by-step explanation:

Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)

Answers

Answer:

w=3

Step-by-step explanation:

[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]

Mr.Brown is planting trees in a field that is one mile long and 2 miles wide. How much is his field.

Answers

Answer:

Step-by-step explanation:

Wtwtettete

Answer:

2 miles squared.

Step-by-step explanation:

A= length times width

A= 1 mile times 2 miles

A= 2 miles squared

Ray has 3 gallons of maple syrup. He
fills nine 1-quart bottles with syrup and
gives them away. How many quarts of
maple syrup does Ray have left?
(1 gallon = 4 quarts)

Answers

Answer:

3 quarts

Step-by-step explanation:

Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram

Answers

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

Multiply (u-6w-2)(2u+5w)

Answers

Answer:

[tex]=2u^2-7uw-30w^2-4u-10w[/tex]

Step-by-step explanation:

[tex]\left(u-6w-2\right)\left(2u+5w\right)\\Distribute\:parentheses\\=u\cdot \:2u+u\cdot \:5w+\left(-6w\right)\cdot \:2u+\left(-6w\right)\cdot \:5w+\left(-2\right)\cdot \:2u+\left(-2\right)\cdot \:5w\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w\\\mathrm{Simplify}\:2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w:\quad 2u^2-7uw-30w^2-4u-10w\\=2u^2-7uw-30w^2-4u-10w[/tex]

Pls Help!!!
Just an example of how to do it pls!

Answers

10m + n^2/4

m = 5

n = 4

We can now substitute numbers in for the variables.

10(5) + (4)^2/4

50 + 4^2/4

50 + (4 * 4)/4

50 + 16/4

50 + 4

= 54

Answer:

Its 54 guys explanation in COMMENTS

Heres rule for 2nd term

x^n/x^(n-1) = x

pls help me this is dur in 10 minutes.​

Answers

Answer:

answer for the question is 1.point R means that the unit rate is $14.00 per pound

Which of the following is most likely the next step in the series Z3Y6X9W 12

Answers

Answer:

V

Step-by-step explanation:

This series is a letter, followed by a number where the letter is the previous letter in the alphabet and the number is increasing by 3

Answer:

12 V 15 U 18 T 21 S 24 R 27 Q

Step-by-step explanation:

Letters going backwards, numbers increasing by 3

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)

Answers

Answer:

C. (9, 13)

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

(-7, 5)

5 = (1/2)*(-7) + b

5 = - 7/2 + b

b = 5+ 7/2 = 10/2 + 7/2 = 17/2

y = (1/2)x + 17/2

C. (9, 13)

13 = (1/2)*9 + 17/2

13 = 26/2

13=13  True

Answer:

It is C (9,13)

Step-by-step explanation:

took the test on edge

f is a one-to-one function, and (4,7) is on the graph of f. Write the coordinates of a
known point or the graph of f-1
Format

Answers

Answer:

(7, 4)

Step-by-step explanation:

One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.

If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7)  is on the graph of f(x), therefore (7, 4)  is on the graph of f^-1(x)

A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?

Answers

Answer:

The amount of water is [tex]30,240in^3[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.

Given data

depth of bathtub= 24 in

width of bathtub= 24 in

length of bathtub= 60 in

the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.

the depth of water is 3 in below the the top

hence the depth of water (24 in- 3 in)= 21 in

the expression for the volume of water is given as

[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]

How would you prove that the triangle below is equilateral?

A. Shows all angles to be congruent

B. Show all sides to be congruent

C. Show at least two sides to be congruent

D. Show two sides are of equal measure

Please help me with this I need help

Answers

Answer:

B. Show all sides to be congruent

Answer:

B. show all sides are congruent

Step-by-step explanation:

What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)

Answers

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.

therefore answer is (1,-2)

someone please help me !!

Answers

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

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