In the figure, shown, AD, CE, and FB intersect at point F. Find the value of x.

In The Figure, Shown, AD, CE, And FB Intersect At Point F. Find The Value Of X.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

∡AB + ∡BC + ∡CD = 180°

∡CD = ∡AE

∡AB + ∡BC + ∡AE = 180°

(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°

8x + 6 + 6x + 2 + 7x + 4 = 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 8


Related Questions

Question 3
This table shows a linear relationship between the amount of water in a tank and time.

Time (minutes) Water (gallons)
0 30
5 20
10 10

Which of these statements is true?
Multiple choice question.

A)
The water in the tank is increasing at a rate of 2 gallons per minute.

B)
The water in the tank is increasing at a rate of 10 gallons per minute.

C)
The water in the tank is decreasing at a rate of 2 gallons per minute.

D)
The water in the tank is decreasing at a rate of 10 gallons per minute.

Answers

Answer:

C

Step-by-step explanation:

In five minutes it decreased by 10 gallons (5x2=10), In 10 minutes it decreased by 20 gallons.

Please help!!! If you can

Answers

Answer:

Im guessing its B. Im sorry of this didnt help.

Step-by-step explanation:

[tex]y = 12000 {(1.04)}^{30}[/tex]

Merton's population = 38920.77012

//

18000 + 30(500) = 33000

Hapville's population = 33000

//

38920.77012 - 33000 = 5920.77012

5920.77012 ---> 6000

The answer is B.

Find the measure of arc BC

Answers

Answer:

The measure of the Arc BC is 80

I agree! The BC is 80

A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect

Answers

Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]

(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].

how many centimeters are in 1 millimeter​

Answers

Answer:

1 milli meter = 0.1 centi meter

Madison was working at a store in the mall. She earns 7% commission for each sale that she makes. Last month, she sold a total of $1,450. How much commission did she earn?

Answers

Answer:

101.50

Step-by-step explanation:

Answer:

$101.50

Step-by-step explanation:

7% of 1450 = 0.07 × 1450 = 101.5

For the salad bar, Channing must divide 8 bags of lettuce equally among 3 serving bowls. How many bags of lettuce would be in each serving bowl if they are divided equally?

Answers

Answer:

Number of bag filled in a bowl = 2.67 bags

Step-by-step explanation:

Given:

Number of lettuce bags = 8

Number of serving bowl = 3

Find:

Number of bag filled in a bowl

Computation:

Number of bag filled in a bowl = Number of lettuce bags / Number of serving bowl

Number of bag filled in a bowl = 8 / 3

Number of bag filled in a bowl = 2.67 bags

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?

Answers

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]

Put m in (i) , we get

[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?

Answers

Answer: k = 21

Step-by-step explanation:

3(7 + x) = 3x + k

21 + 3x = 3x + k

21 + 3x - 3x = 3x + k - 3x

k = 21


Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)

Answers

Answer:

(7,5)

Step-by-step explanation:

(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.

does anyone know the answer

Answers

Answer:

y+8x X 5

Step-by-step explanation:

Answer:

first one and last one

Step-by-step explanation:

the difference of two numbers is 8. their sum is 17. find the two numbers?

Answers

9514 1404 393

Answer:

4.512.5

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)

please help me with this

Answers

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

Which of the following is a situation in which an equation cannot be solved
using the quadratic formula?
A. The coefficient of the x-term is zero.
B. One term of the polynomial has a degree of 3.
C. The right-hand side of the equation is zero.
D. The coefficient of the XP-term is 1.

Answers

Answer:

B One term of the polynomial has a degree of 3

the answer for this problem is B

x and y are angles on a line l forming linear pairs . if twice of x is 30 degree less than y . Find x and y .

Answers

Answer:

hope it helped have a good day mate

The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?

Answers

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?

$24,000
$24,000

$2,400
$2,400

$4,800
$4,800

$600

Answers

2,400 I believe because look at it he has a rate of 5%

7. The cost of 2 notebooks and 4 folders is
$2.50. The cost of 1 notebook and 6
folders is $2.25. Which statement is true?
A The cost of a notebook is $1.00, and
the cost of a folder is $0.25.
B The cost of a notebook is $0.75, and
the cost of a folder is $0.25.
C The cost of a notebook is $0.25, and
the cost of a folder is $0.75.

Answers

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

How do I expand this

Answers

Step-by-step explanation:

We have

[tex](sc^2x-1)^2[/tex]

Which is the same as

[tex](sc^2x-1)(sc^2x-1)[/tex]

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],

[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]

The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],

[tex](sc^2x )(-1)=-sc^2x[/tex]

The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],

[tex](-1)(sc^2x )=-sc^2x[/tex]

The two lasts are [tex]-1[/tex] and [tex]-1[/tex],

[tex](-1)(-1)=1[/tex]

Now we just need to add these together to get

[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]

Answer:

[tex]cot^{4} x[/tex]

Step-by-step explanation:

TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS


Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.

Answers

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

I don't know this question. I REALLY NEED HELP!!!

Answers

Answer:

If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54

Answer:

54

Step-by-step explanation:

10m + [tex]\frac{n^{2} }{4}[/tex]

First insert the m value and then multiply

10m = 10(5) =50

then the equation becomes 50 +  [tex]\frac{n^{2} }{4}[/tex]  

Second insert the n value

[tex]\frac{4^{2} }{4}[/tex]

4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes

50+16/4

50+4=54

what is one astronomical unit in inches

Answers

Answer:

5.89E+12

Step-by-step explanation:

I need help plz ASAP

Answers

Answer:

2nd one down

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help​

Answers

y= 2x ^ 5 + 10x ^ 4 - 5x ^ 2 + 12x ^ 8 - 6
Intercept is (0,-6)

Evaluate (49/64) ^1/2 write it as a fraction

Answers

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

plss help me il mark you brainly

Answers

Answer:

thisl give u extra credit: 2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Answer:

1. 78.54 (area)

2. 25.13 (circumference)

3. 4.5 (radius)

4. 13 (diameter)

Step-by-step explanation:

Jeffrey rented a car for spring break. It costs $100 to rent the car plus $8 per mile he was charged $1,316. How many miles did he drive.

Answers

Answer:

152 miles

Step-by-step explanation:

Answer:

he drived around 300 mile

the total for dinner was $55 before a discount and tax there was a 10% discount and 7% sales tax
use the tiles to create and expression that could be used to find the total

55xblank x blank

use :0.10 0.9 1.07 0.07 to make the equation ​

Answers

Answer:

( 55 x .10 ) x .07

What is the area of a square with side lengths of 3/5 units? Please explain how you know.

Answers

9/25

When trying to an area of a square, you multiply one side by another side to get the answer (length x width).

3/5 x 3/5 = 9/25

Numerator x numerator.
Denominator x denominator.
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