Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE

Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;

[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]

Since CE = 5x, CE = 5(6) = 30

The measure of segment CE is 30


Related Questions

Find the volume of a cone with a radius of 20cm and a height of 15cm.

Answers

Answer:6283.19 cm cubed, assuming pi is 3.14 or it's 2000 pi

Step-by-step explanation:

V=pi r squared times h over 3

Answer:

The answer is around 6283.19

Step-by-step explanation:

I know this because the formula of the cone is V=πr^2h/3 so substituded the known value to get this answer.

Pi equal 3.14

Which of the following is most likely the next step in the series?

Answers

Answer:

B

Step-by-step explanation:

It adds one row on the bottom and one row on the right

The number 72 lies between the perfect squares blank, and blank . So, the square root of 72 lies between the numbers blank, and blank , which means the square root of 72 is blank number.

Answers

Answer:

The perfect squares it lies between are 64 and 81

The answer is 6√2

And it lies between the numbers 8 and 9

Hope this helps.

Answer:

the real answer is 64 -75   8-9

72  is a rational number

Step-by-step explanation:

The pyramid below has a rectangular base and E is directly above A. find the volume of the pyramid

if you answer i’ll give you brainlest

Answers

Step-by-step explanation:

According to the information given and the formula

base area= 9cm × 4cm = 36

ht= 10cm

(1/3) × 36cm × 10cm = 120

Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.

What is Pyramid?

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle which is called a lateral face.

Given are the dimensions of the base of a rectangular pyramid as 9 cm by 4 cm. Length AE is equal to 10 cm.

The volume of a pyramid is given by -

V[P] = 1/3 x B[A] x height

where

B[A] is Base area.

Base area will be equal to Area of rectangle with dimensions  9 cm by 4 cm. Therefore, the base area will be - B[A] = 9 x 4 = 36 cm²

Now, the volume will be -

V[P] = 1/3 x 36 x 10

V[P] = 12 x 10

V[P] = 120 cm³

Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.

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three points of -x + 2y = 2

Answers

Answer:

y = 1 + x/2

x = -2 + y

Step-by-step explanation:

Theres no question here so i just solved for x and y.

Step-by-step explanation:

y=1x/2+1

NEED HELP ASAP!!
Will give BRAINILESS!!

ATTACHED PICTURE

Answers

Answer

D= t^2 + 5.6

Step-by-step explanation:

D= t + 5.3 x t + 0.3

D= t^2 + 5.6

Solve the equation 2x^2 – 3x – 5 =
10x to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A scale drawing has a scale of 3in:1ft. What is the scale factor?​

Answers

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

HELP PLEASE
solve for x : 2.1x - 3.6 = 8
1) 6.77
2)2.1
3)1.22
4)5.52

Answers

Answer:

Rounding x = 5.52

Step-by-step explanation:

2.1x - 3.6 = 8

Add 3.6 to each side

2.1x - 3.6+3.6 = 8+3.6

2.1x = 11.6

Divide each side by 2.1

2.1x/2.1 = 11.6/2.1

x =5.523809524

Rounding x = 5.52

Anyone know this :( please help

Answers

Answer:

B

Step-by-step explanation:

M is a factor of N and [tex](1+r)^t[/tex], which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

PLEASE HELP WILL MARK BRAINLIEST

Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50 . If the beads cost $1.50 for each necklace, how much did each pendant cost?

Answers

Answer:

$2.20

Step-by-step explanation:

If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50

Then, $18.50 - $7.50 = $11

Then $11/ 5 = $2.2

If x = 2 and y = 4, then (2x + 3y) ÷ 4 - 2 =
A) 10
B) 9
C) 8
D) 2
WILL MARK BRAINLIEST

Answers

Answer:

Answer is option d) 2

Step-by-step explanation:

[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, (2x + 3y)/4 - 2

The value of expression, when  x = 2 and y = 4

⇒ (2×2 + 3×4)/4 - 2

⇒  (4+12)/4 -2

⇒   16/4  - 2

⇒  2

Hence, the value of expression is 2

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Hey, can you please help me out?

Very appreciate

Verified and certified by me

Answers

Answer:

d

Step-by-step explanation:

first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!

What would this be and how do i find the answer?

Answers

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

A new lawn has a perimeter of 278 ft. and a width of 64 ft. A bag of grass seed will cover 384 ft 2of ground. How many bags of grass seed are needed to seed the new lawn? A. 4.34 B. 6 C. 10.25 D. 12.5

Answers

Answer:

12.5 bags

Step-by-step explanation:

This problem is on the mensuration of flat shapes

Given

perimeter of lawn = 278 ft

width of lawn = 64 ft

1. we need to solve for the length of the lawn

2. we also  we need to solve for the area of the lawn

perimeter of lawn= 2(width) + 2(length)

substituting our data we have

let the length be x

[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]

the length is 75 ft

the area of the lawn is [tex]75*64= 4800ft^2[/tex]

if a bag will cover[tex]384ft^2[/tex]

to cover the lawn we will need

[tex]\frac{4800}{384} \\=12.5 bags[/tex]

find the smallest nom which is divisible by 4 7 8 16​

Answers

Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021

Answers

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

The approximate value of the land in 2021 will be $588,394.356.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

                                         = 30,000 (1 + 0.05)

                                         = 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

                                          = (30,000 × 1.05) (1 + 0.05)

                                          =  (30,000 × 1.05) (1.05)

                                          = 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

                                                     = 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

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helppppppppppppppppppppppppp!

Answers

Answer:

The  difference is  22.5 km

Step-by-step explanation:

CD = 4.5 cm

DE = 8 cm

       -----------

         12 .5 cm

CE = 5 cm

The difference is

12.5 - 5 = 7.5 cm

Then multiply by the scale factor

7.5 cm * 3 km /1 cm =22.5 km

De los siguientes datos:2;2;4;4;5;6;6;7;7;8, si se cambian los numeros 4 por 5, ¿cuál de las siguientes medidas cambia?

1: moda
2: mediana.
3: media aritmética

A) solo 2
B) solo 3
C) solo 1 y 2
D) solo 1 y 3
E) 1,2,3

Answers

Answer:

what is the question I do not understand

Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

Since you looking for the width and you are given the length and the area, then you will divide the area by the length.

(10x² + 5x) ÷ 5x

You can also turn this into a fraction so you can know what you are dividing.

[tex]\frac{10x^2+5x}{5x}[/tex]

So, your width is 2x + 1

Answer:

2x + 1 is the width.

Step-by-step explanation:

Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.

10x^2 / 5x equals 2x.

5x / 5x equals 1.

The width equals 2x + 1.

The volume of a​ cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft​ deep, what is the radius of the​ hole?

Answers

Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]

h = 6

V = 50π

[tex]2\pi r^2=50\pi[/tex]

r = 5

a. The graph of g(x) is the graph of f(x) stretched vertically. c. The graph of g(x) is the graph of f(x) shrunk vertically. b. The graph of g(x) is the graph of f(x) shifted down 3. d. The graph of g(x) is the graph of f(x) shifted up 3. Please select the best answer from the choices provided

Answers

Answer:

There is no picture?

Step-by-step explanation:

Answer:

a. The graph of g(x) is the graph of f(x) stretched vertically.

Step-by-step explanation:

I just took test and got it correct 100%

Points A, B , and C are collinear. Point B is between A and C . Solve for x given the following. AC=22 AB=x+10 BC=x+14

Answers

Answer:

x = - 1

Step-by-step explanation:

The points A, B and C are collinear meaning they all lie on a line.

Thus

AB + BC = AC , substitute values

x + 10 + x + 14 = 22, that is

2x + 24 = 22 ( subtract 24 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form of the equation for this line?

Answers

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6


Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12

Answers

Answer:

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

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

Step-by-step explanation:

What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²​

Answers

The answer is 360km^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Point AAA is at {(-3, 4)}(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and point CCC is at {(2,-6)}(2,−6)left parenthesis, 2, comma, minus, 6, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC started overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 4:54:54, colon, 5.

Answers

Answer:

The coordinates of point B = (1, -4)

Step-by-step explanation:

Complete Question

Point A is at (−3,4) and point C is at (2,−6). Find the coordinates of point B on line AC such that the ratio of AB to AC is 4:5.

Solution

Point B divides line AC into two parts

A = (-3, 4)

C = (2, -6)

AB:AC = 4:5

If (AB/AC) = (4/5)

5AB = 4AC

But AC = AB + BC

5AB = 4(AB + BC)

5AB = 4AB + 4BC

5AB - 4AB = 4BC

AB = 4BC

(AB/BC) = (4/1)

AB:BC = 4:1

Hence, point B divides line AC internally into two parts with ratio 4:1

Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + mx₁)/(m + n)]

y = [(my₂ + my₁)/(m + n)]

For this question,

x₂ = 2

x₁ = -3

y₂ = -6

y₁ = 4

m = 4

n = 1

Point B is then described with coordinates

x = [(4×2 + 1×-3)/(4+1)] = (5/5) = 1

y = [(4×-6 + 1×4)/(4+1)] = (-20/5) = -4

Hence, the coordinates of point B is given as

(x, y) = (1, -4)

Hope this Helps!!!

Answer:

(-3,-3)

Step-by-step explanation:

above.

Simplify the expression 4x3× 2x3

Answers

Answer:

8 x^6

Step-by-step explanation:

4x^3× 2x^3

Multiply the numbers

4*2 = 8

Then the variables

x^3 * x^3 = x^(3+3) = x^6

8 x^6

Answer:

[tex]8x^{6}[/tex] (I am assuming you meant [tex]4x^3*2x^3[/tex]

Step-by-step explanation:

First you multiply the coefficients 4 and 2 which equals 8

Then you multiply the x's and when you multiply variables that are raised to powers you add the powers

so [tex]x^3*x^3 = x^(3+3)[/tex]

Putting this together you get [tex]8x^{6}[/tex]

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

(x+8)²-2=0

(x+8+√2)(x+8-√2)=0

x= - 8- √2 =  -9.41 lesser x

x= -8 + √2 = -6.59  greater x

Answer:

[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]

Step-by-step explanation:

[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]

[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]

_____ of the basic trigonometric functions have inverse functions. None, 3, 6, 4

Answers

Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

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