If m < CDF = (3x + 14), m < FDE = (5x -2), and m < CDE = (10x - 18), find x.

Answers

Answer 1

The value of x in the angle is 15

How to determine the value of x?

The given parameters are

m < CDF = (3x + 14), m < FDE = (5x -2), and m < CDE = (10x - 18)

The above means that

Line FD divides angle CDE

So, we have

CDE = CDF + FDE

This gives

10x - 18 = 3x + 14 + 5x - 2

Evaluate the like terms

2x = 30

Divide both sides by 2

x = 15

Hence, the value of x in the angle is 15

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Related Questions

When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F.

Answers

Answer:

-3°F

Step-by-step explanation:

WOW

do 3-6 ok which is -3°F

solve each equation (absolute value)
a) |3-|2-x||=6
b) |3x-2|+x>= 4
c) ||2x-1|-2|>3

Answers

The absolute values solved for x are:

x = 1 x = 1/2 x> 0

What is absolute value?

Absolute value of a number can be defined as the distance of the number from zero on the number lines.

It is also said to be the value of a number irrespective of its sign.

The absolute value of a number must take a positive sign.

It is denoted with the symbol, '| |'

Given the equations;

a. ) |3-|2-x||=6

Take the absolute value

3 + 2 + x = 6

collect like terms

x = 6 - 5

x = 1

b) |3x-2|+x>= 4

Take absolute values

3x + 2 + x = 4

collect like terms

4x = 2

make 'x' the subject

x = 1/ 2

c) ||2x-1|-2|>3

Take absolute values

2x + 1 + 2 > 3

collect like terms

2x > 3 - 3

x > 0

Thus, the absolute values solved for x are x = 1, x = 1/2 and x> 0

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Consider the infinite geometric sequence that has a third term equal to -1/6 and a sixth term equal to -1/1296. What is the sum to infinity of the terms of this sequence?

Answers

The sum to infinity of the terms of this sequence is -36/5

What is the sum to infinity of the terms of this sequence?

The given parameters are

T3 = -1/6

T6 = -1/1296

The nth term of a geometric sequence is

Tn = a * r^(n-1)

So, we have

T3 = ar^2

T6 = ar^5

Divide both equations

T6/T3 = ar^5/ar^2

Evaluate the quotient

T6/T3 = r^3

Substitute T3 = -1/6 and T6 = -1/1296 in T6/T3 = r^3

(-1/1296)/(-1/6) = r^3

Evaluate the quotient

1/216 = r^3

Take the cube root of both sides

r =1/6

Substitute r =1/6 in T3 = ar^2

T3 = a(1/6)^2

This gives

T3 = a/36

Substitute T3 = -1/6 in T3 = a/36

a/36 = -1/6

This gives

a = -6

The sum to infinity of the terms of this sequence is

S = a/(1 - r)

This gives

S = -6/(1 - 1/6)

This gives

S = -6/(5/6)

Evaluate

S = -36/5

Hence, the sum to infinity of the terms of this sequence is -36/5

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Un ganadero tiene tiempo suficiente para alimentar 220 vacas durante 45 días. ¿cuántos días podrá alimentar con la misma cantidad de tiempo a 450 vacas?

Answers

Answer:

112.5 días

Step-by-step explanation:

450 vacas (45 días/220 vacas) = 112.5 días

I NEED HELP BADLY!! 25 POINTS PLEASE PLEASE HELP

The coordinates of the vertices of quadrilateral ABCD are (−6,−1), (−5,2), (−1,−5), and (0,−2). Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parker’s statement.

Answers

As the length of the sides AD ≠ BC the given quadrilateral ABCD is not a parallelogram.

What approach proves the lines are parallel?

To prove that the given lines are parallel we have to determine their slope if the slope if equal then the lines are parallell.

We know that a quadrilateral is a parallelogram when opposite lines are of the same length and opposite lines are parallel to each other.

Given a quadrilateral, ABCD has coordinates A(−6,−1), B(−5,2), C(−1,−5), and D (0,−2).

∴ The quadrilateral ABCD t be a parallelogram length of AB = DC and length of AD = BC.

We know the distance formula is [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

So, lenght of AB = [tex]\sqrt{ (-5+6)^2 + (2 + 1)^2[/tex].

AB = [tex]\sqrt{ 1 + 9}[/tex].

AB = [tex]\sqrt{10}[/tex] units.

Lenght of DC = [tex]\sqrt{(0+1)^2 + (-2+5)^2}[/tex].

DC = [tex]\sqrt{10}[/tex] units.

Now length of AD = [tex]\sqrt{0+6)^2 + (-2+1)^2[/tex].

AD = [tex]\sqrt{ 37}[/tex] units.

Length of BC = [tex]\sqrt{(-1+5)^2 + (-5+2)^2[/tex].

BC = [tex]\sqrt{25}[/tex].

BC = 5 units.

As BC AD therefore quadrilateral ABCD is not a parallelogram.

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What is the x and y intercept according to this graph?

Answers

Answer:

y = 150

Step-by-step explanation:

As the graph is a straight line, there is no need for

Hope this helps, I would appreciate it if u could mark me as the brainliest. Thks

It’s undefined because it’s a straight line

What is the parent function of f(x)?

Answers

The parent function behind f(x) = 1 / (x - 4) - 3 is g(x) = 1 / x, which is modified by horizontal and vertical translations.

What is the parent function behind the given expression?

In this problem we find an expression that is shown as the image of a previous one, whose procedure of transformation must be inferred and explained. A direct inspection let us suppose that parent function might be g(x) = 1 / x and that the resulting expression is the result of a sequence of rigid transformations.

Let suppose that g(x) = 1 / x, then we apply the following two rigid transformations:

Horizontal translation

g'(x) = 1 / (x - 4)

Vertical translation

f(x) = 1 / (x - 4) - 3

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Gail height increased by 24 is 50

Answers

Gail height increased by 24 is 50 is g + 24 = 50

Before we begin, note the following:

a increased by b means that we will add a and b, In other words, the expression would be a + b

Now, for our problem:

We have "g" as Gail's height.

The given information is as follows:

i. Gail's height increased by 24 means that we will add g and 24.

ii. Gail's height increased by 24 is 50 means the increased height is equal to 50.

Hence, Based on the above, the expression is: g + 24 = 50

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39.82kg + 6.056kg + 4978kg

Answers

Answer:

5023.876 kilograms

Step-by-step explanation:

(39.82 kg) + (6.05600 kg) + (4978 kg) =

5023.876 kilograms

I hope this helped :)

Christa and Megan have sales jobs at different companies. Christa earns $18 for each successful sales call she
makes plus 3% commission on her sales. Megan earns $21 for each successful sales call she makes plus 3.5%
commission on her sales. In July, Christa made 35 successful sales calls and Megan made 29 successful sales calls.
They each had the same sales, in dollars, for July, and they made the same total salary that month. Which equation
can be used to find x, the amount Christa and Megan each had in sales in July?

Answers

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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Solve the quadratic equation by using a numeric approach. x squared + 8 x + 16 = 0 a. x = 1 c. x = 5 b. x = -4 d. x = -8 Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is b. x = -4

I’ll give points + brainalist

Answers

The line which is parallel to the given line y = -2x/3 + 1 is 2x+3y=-18, there slopes are equal

How to fine the line that is parallel to the given line

Given data

line y = -2x/3 + 1

The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of parallel line is that the slopes are equal.

Hence we find the line that has same value of m which is the slope

using the second option: 2x+3y=-18

2x + 3y = -18

3y = -2x - 18

y = -2x/3 - 6

the slope here is m = -2/3 which is equal to the slope of the given equation and hence the correct option

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What is MxN simplified

Answers

M x N simplified is M x N.

Answer:

MN

Step-by-step explanation:

8TH GRADE MATH X AND Y AXIS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric? LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric?

Answers

The price of green fabric = $4 and the price of blue fabric is $6.

How to illustrate the information?

It should be noted that LaTanya buys 5 yards of blue fabric and 8 yards of green fabric and the blue fabric costs $2 more per yard than the green fabric.

Let the price of the green fabric = x

Price of blue fabric = x + 2

Therefore, the expression will be:

5(x + 2) + 8(x) = 62

5x + 10 + 8x = 62

13x = 62 - 10

13x = 52

Divide

x = 52/13

x = 4

The price of green fabric = $4

The price of blue fabric = $4 + $2 = $6

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60 is the last option

Answers

Answer:

its 40° because they're linear pairs

Step-by-step explanation:

both angle 1 and 3 are 40°

Answer:

The answer is 40°

Step-by-step explanation:

Angles that are opposite of each other are always equal.

A central angle of 100˚ has a corresponding arc length of 28 cm.
What is the radius of the circle?

Answers

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta = 100\\ s=28 \end{cases}\implies 28=\cfrac{(100)\pi r}{180}\implies 28=\cfrac{5\pi r}{9} \\\\\\ 252=5\pi r\implies \cfrac{252}{5\pi }=r\implies 16.04\approx r[/tex]

flor compró 2 enterOS 5/8 m de la tela roja, 1 entero 1/3 m de la tel< azul y 3 enteros 1/6m de la tela amarilla ¿cuantos metros de tela compró en total.

Answers

The fraction of the fabric is 7 3/24m.

How to calculate the fraction?

It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.

Therefore the total fractions will be:

= 2 5/8 + 1 1/3 + 3 1/6

= 2 15/24 + 1 8/24 + 3 4 / 24

= 6 27 / 24.

= 7 3/24

The total fraction is 7 3/24 m.

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Try it! 10). A boat travels 20 miles in 1/4 hour. How many miles will it travel in 3 hours​

Answers

Answer:240

Step-by-step explanation:

20 times 4 =80

80 times 3 = 240

Melody can run 3 miles for every half hour she is out running. Write an equation to represent the
proportional situation.

Answers

Answer:

y = 6h  h = hour

Step-by-step explanation:

the circle's arc can be measured in any unit of measure for what?

Answers

Answer:

angles in radians

Step-by-step explanation:

look

What is the scale being used for the image with a book 1.5 inches by 3 inches?

Answers

When the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer the scale is 1 inches : 6 inches.

How to illustrate the information?

It should be noted that from the information, the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer.

Therefore, the actual book is 9 inches wide, the scale factor that was used till be:

= Original width / New width

= 9 / 1.5.

= 6.

Therefore the scale factor that was used is 1 inches : 6 inches.

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an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used?

Hi can someone please help me with this!

Answers

Answer:

The larger figures are 3 times larger than the smaller figures.

Scale factor 3?

Step-by-step explanation:

The larger figures are 3 times larger than the
smaller figures.

Use the slope formula to solve for the slope

Answers

Answer:

Step-by-step explanation:

To solve the slop, you need to do the rise/run formula

y2-y1/x2-x1

3-0/2-(-2)

3-0/2+2=3/4

3
f(x) = 7x - 5x
The function is
oddlever
because
f(-x) = f(x)
f(-x) = -f(x)

Answers

when testing for ODD or EVEN behaviour in a function, let's recall that we check what would the original function be if we were to use the argument -x in it?  well, hell let's do that and check what's cooking.

keeping in mind that if EVEN, we'll get back the original function, if ODD well get back a negative version of the original function.

[tex]\stackrel{original}{f(x)=7x^3-5x} \\\\[-0.35em] ~\dotfill\\\\ f(~-x~)=7(-x)^3-5(-x)\implies f(~-x~)=7(-x)(-x)(-x)-5(-x) \\\\\\ f(~-x~)=7(-1)(x)(x)(x)+5x\implies f(~-x~)=-7x^3+5x \\\\\\ f(~-x~)~~ = ~~-\underset{f(x)}{(7x^3-5x)}\qquad \leftarrow \qquad \stackrel{\textit{\LARGE odd}}{\textit{negative version of the original}}[/tex]

Mr Walker sorted the dataset and got this:
[12, 25, 39, 45, 46, 52, 57, 60, 77]
What is the Interquartile Range? (IQR)

Answers

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

Answer:

mr walker sorted the dataset and got

Step-by-step explanation:

How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)

Answers

The number of years it would take to double at 6% compounded annually is 11.55 years

The number of years it would take to double at 10.2% compounded annually is 6.8 years

What is the doubling time?

When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.

When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.

The formula that can be used to determine the number of years it would take the investment to double is:

Number of years it would take to double = In (FV / PV) / r

Where:

FV = future value PV = present value FV / PV = 2 r = interest rate

r = 6/12 = 0.5%

r = 10.2 /12 = 0.85%

Number of years it would take to double = In2 / 0.005 = 138.629 months

138.629 months / 12 = 11.55 years

Number of years it would take to double = In2 / 0.0085 = 81.547 months

81.547 months / 12 = 6.8 years

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Please help me 100 points
What's
[tex] \sf t0e_{12} + tee_{12}[/tex]

Answers

Answer: 12e(et+OT)

Step-by-step explanation:

Answer:

12e(et+OT)

Hope it helps <3

A packing crate can hold 205 avocados. There were 7,000 avocados picked at a large grove. The owner has 36 packing crates. Does he have enough crates to ship out the avocados? Explain.

Answers

Answer: He does have enough crates to ship out the avocados.

Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.

Answer:

Yes

Step-by-step explanation:

This is because, as we know, the owner has 36 crates that can hold 205 avocados. There are 7000 avocados so using no more than the 36 crates, 205 x 36 = 7,380. So, using less than 36 crates, and not surpassing the number of avocados that can be shipped, all 7000 avocados can be shipped.

If f(x) = x^2/2-13, what is the value of f(6) ?

Answers

The answer is f(6)=5

Step-by-step explanation:

(6*2/2)-5=5

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