Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
AB=78?

Answers

Answer 1

Answer:

x =  8.5

Step-by-step explanation:

AC + CB = AB

As C is the midpoint AC = CB = 4X + 5

AC + CB = AB

4x + 5 + 4x + 5 = 78

4x + 4x + 5 + 5  = 78            {Combine like terms}

            8x + 10 = 78            {Subtract 10 from both sides}

                    8x = 78 - 10

                    8x = 68

                      x = 68/8

                      x =  8.5


Related Questions

through (1, 2), slope = 7
Write the equation of a line in slope-intercept and standard form.Given 1 point and a slope

Answers

Answer:

The equation of line is as follows:

Slope-intercept form: [tex]y = 7x-5[/tex]

Standard Form: [tex]-7x+y = -5[/tex]

Step-by-step explanation:

Given that

Slope of line: 7

Point : (1,2)

Slope-intercept form of equation of line is given by:

[tex]y = mx+b[/tex]

Here m is the slope and b is y-intercept.

Putting the value of slope

[tex]y = 7x+b[/tex]

To find the value of b, we have to put the point in the equation

[tex]2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5[/tex]

So the equation will be:

[tex]y=7x-5[/tex]

The standard form of equation of line is:

[tex]Ax+By = C[/tex]

To convert the equation in standard form, subtracting 7x from both sides

[tex]y-7x = 7x-5-7x\\-7x+y = -5[/tex]

Hence, the equation of line is as follows:

Slope-intercept form: [tex]y = 7x-5[/tex]

Standard Form: [tex]-7x+y = -5[/tex]

The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is  7x - y = 5.

To find the equation of a line in slope-intercept and standard form.

First, we can write the equation in point-slope form. The point-slope formula states:

(y − y₁) = m (x − x₁)

Where m is the slope and

(x1, y1) is a point the line passes through.

Substituting the values from the problem gives:

(y − 2) = 7(x − 1)

Now, we need to convert to standard form.

The standard form of a linear equation is:

Ax + By = C

where, if at all possible,

A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We convert as follows:

y − 2 = (7 × x) − (7 × 1)

y − 2 = 7x − 7

−7x + y − 2  = − 7

Adding 2 in both side.

−7x + y − 2 + 2 = − 7 +2

-7x + y = -5

7x - y = 5

Therefore,  the equation of a line in slope-intercept and standard form is 7x - y = 5.

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(-4,19) (0,3) whats the slope?

Answers

The slope is 16/4 which is 4/1 which can also be 4. So the most simplified is 4

Answer:

m= -4

Step-by-step explanation:

Slope is equal to the change in y over the change in x

, or rise over run.

m=change in ychange in x

The change in x

is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1

Substitute in the values of x

and y

into the equation to find the slope.

m=3−(19)0−(−4)

Simplify =

m= -4

What’s the square root of 8 and 75 and 20 and 300 and 15

#not help asap

Answers

8: 2.82842712475
75: 8.66025403784
20: 4.472135955
300: 17.3205080757
15: 3.87298334621

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE.

Answers

Answer:

How do you except me to know

Step-by-step explanation:

Bruh I came here to find the Awnser not to actually work for it

-3y + 12 = -8x


anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form​

Answers

Change -3y + 12 = -8x to the form y = mx + b

Subtract 12 on both sides

-3y = -8x - 12

Divide by -3 on both sides

y = 8/3 + 4


Change original equation to Ax + By = C

-3y + 12 = -8x

Switch -8x and 12

-3y + 8x = -12




(ps, I haven’t done this kind of math in a long time )

Given d = 1/2 at^2, solve for a.

A) a = t^2/ 2d
B) a = 2d/t^2
C) a = d - 1/2 t^2
D) a = 1/2t^2 - d

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
The Answer is B
2d/t^2

Shane and abha earned a team budget that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did. Write an inequality to determine the number of cans , s, that Shane could have collected

Answers

Answer:

s ≥ 911

Step-by-step explanation:

Let

s = number of cans Shane could collect

Abha collected 178 more cans than Shane did.

Abha = s + 178

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling

Number of cans collected by Shane + number of cans collected by Abha ≥ 2000

s + 178 + s ≥ 2000

2s + 178 ≥ 2000

2s ≥ 2000 - 178

2s ≥ 1,822

Divide both sides by 2

s ≥ 1,822 / 2

s ≥ 911

Question in picture solve

Answers

Answer:

Domain: -2, 0, 3, 5

Range: 5, 4, 6, -7

Step-by-step explanation:

The domain is all the values of x and the range is all the values of y.

What is the equation of the line with a y-intercept of -10 and a slope of 3?
A.y = -102 - 3
B.y=-10x +3
C.y= 3x - 10
D.y= 3a + 10

Answers

I am pretty sure it’s C

Answer:

c

Step-by-step explanation:

slope is 3 and y intercept is -10 so y=3-10

The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what will the price be in a year, after the increase?
$

Answers

$3.42

Take the original price and multiply by 1.14

Explanation: 1.14 comes from the whole (1) of the orange juice at the time plus the percent (14% ---> .14).

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Answers

Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

GEOMETRY
Can someone explain dilations to me?

Answers

okay so when a scale factor is given it just means multiply that number with the number given in the shape like for example if the shape is a triangle and it gives you 3 numbers and then number are 6, 9, and 12 you multiply the given scale factor which lets say would be 2 now you multiply those number and you will get 12, 18, and 24 now that is your new triangle and graph it on the graph !


charges competition fees of $250 plus $75 per week for classes. What is the
total charge for 40 weeks?

Answers

Answer:

$3,250

Step-by-step explanation:

You take the initial fee of 250 then add 75x40

250x75(40)=$3250

help please :DDDD kinda confused

Answers

Answer:

7 to the 7th power

Step-by-step explanation:

To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..

The answer is 7 ⁷

Step-by-step explanation: 7 ⁴ is 343 and 7 ³ is 2401 so if you multiply those together it is

823,543. 7 ⁷ in total is 823,543

Explain how to use the distributive property to find an expression that is equivalent to 20 + 16​

Answers

Answer:

What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.

Either:

4(5+4) Or

2(10+8)

Step-by-step explanation:

help me is this please​

Answers

Answer:

36/100

Step-by-step explanation:

easy

the answer is 36/100 but if it needs to be simplified it’s 9/25

The weights, in ounces, of three different packages of cookies are listed below. Which list shows these weights in order from least to greatest? A 7.25, 7 1 7 , 7.7 B 7 1 7 , 7.25, 7.7, C 7.25, 7.7, 7 1 7 , D 7 1 7 , 7.7, 7.25

Answers

Answer: C. 7.25, 7.7, 7 1 7

Step-by-step explanation:

From the question, we are given the weight , in ounces, of three different packages of cookies and we are told to arrange them in ascending order that is, from the least to the greatest.

The least of the numbers is 7.25. After then we have 7.7 and the greatest is 717. Therefore this can be arranged as:

7.25, 7.7, 7 1 7

Therefore, the correct option is C.

1)50% of 60 2) 8 out of 80 is what percent?

Answers

Answer:)

1) 50% of 60 is 30

2) 8 out of 80 is 10%

You're welcome :)

Answer:1. 30

2. 10%

Step-by-step explanation:

Will give brainlist i really need help!!

Answers

Answer:

40 units^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 8 * 10)

   = 1/2 (80)

  = 40 units^2

Step-by-step explanation:

a=1/2*b*h

a=1/2*8*10

a=40

The figure below is made up of a square with height, h, units and a right triangle with height, h units, and a base length, b units.

The area of this figure is 80 square units.


Write an equation for the area of the shape below.

Answers

Answer:

Step-by-step explanation:

A = 12 × 16 + (1/2)(12 + 8)(10) = 292 units²

The Equation for Area of figure is area of Figure, h² + 1/2(h)(b) = 80

What is Area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

We have the figure consist of one rectangle and one right triangle.

Now, Area of Figure,

=Area of rectangle + area of Triangle

= length x width + / x base x height

=  16 x 12 + 1/2 x 10 x 20

= 192+ 100

=292 unit²

and, if the square with height, h, units and a right triangle with height, h units, and a base length, b units.

Then, area of Figure= h² + 1/2(h)(b) = 80 square units.

Learn more about area here:

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Apack of batteries that contains nine batteries costs $20. Determine the cost per battery

Answers

The cost per battery will be around $2.22 per battery

Answer:

$2.22

Step-by-step explanation:

You divide $20 by 9

Mr. Howard and Ms. Egan enjoy running on the weekends. They both usually run at a steady pace and try to meet in the middle. They are 14 miles apart. Mr. Howard can run 3 miles in 30 minutes. Ms. Egan can run 4 miles in 30 minutes.

Answers

Given :

Distance between them, D = 14 miles .

Mr. Howard can run 3 miles in 30 minutes.

Ms. Egan can run 4 miles in 30 minutes.

To Find :

Time taken by them to meet.

Solution :

Mr Howard speed, [tex]v_H=\dfrac{3}{0.5}=6\ mph[/tex] .

Mr Egan speed, [tex]v_e=\dfrac{4}{0.5}=- 8\ mph[/tex] . [ Since they run in opposite direction ]

Their relative speed :

[tex]v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph[/tex]

Time taken by them to meet :

[tex]T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours[/tex]

Hence, this is the required solution.

a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours ​

Answers

Answer:

120 miles in 2 hour

Step-by-step explanation:

One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.

Solveby factoring :
p2 + 8p + 12 = 0
(show steps please)

Answers

Answer:

(p + 6)(p + 2)

Step-by-step explanation:

I believe you meant  p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.

Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8.  Thus,

p^2 + 8p + 12 = 0 = (p + 6)(p + 2)

¿ REGALO PUNTOS !
el que responda primero le doy corona

Answers

Answer:

im english

Step-by-step explanation:

Answer:

Holis bella personita:3

Step-by-step explanation:

UwU

1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?

Answers

Answer:

3: cz

Step-by-step explanation:

Answer:

1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms

2.)161

3.)cz

Step-by-step explanation:

2.) 81^2-80^2

  (81+80)(81-80)

    161x1

      161

3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz

Hope this helps, hope your call goes well :)

I need help pls !!!!!

Answers

Answer:

a=5

Step-by-step explanation:

right angel=90%

90-52=28

28-3=25

5(5)=25

hope this helps

Answer:

a=7

Step-by-step explanation:

90=52+5a+3

90=55+5a

35=5a

/5

a=7

A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams. How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How much gold, in grams, would it take to make b b bracelets and n n necklaces?

Answers

Jsncosmaoakxodnwi m jekskso

Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.

Part I:
How much money will you save buying the iPad on sale?


Part II:
What is the final cost of the iPad when it is on sale?

Answers

part 1. is 90 dollars
part 2. is 360 dollars
Part 1: You save 360 dollars 450 x .20 equals 90 450-90=360 dollars
Part 2: 90 dollars is the amount you pay

find the unit rate. $46.54 for 5 hours

please answer and explain :)​

Answers

Answer:

er

Step-by-step explanation:

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