Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

AE = CE , substitute values

11x - 3 = 12 - 4x ( add 4x to both sides )

15x - 3 = 12 ( add 3 to both sides )

15x = 15 ( divide both sides by 15 )

x = 1


Related Questions

1.) Which movie had the Lower Q3 as shown in the box plot?

Movie A

Movie B

Both about the same


Answers

Answer: Movie A

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES

Answers

Answer:

x= 1.09 and x= -0.461

Step-by-step explanation:

Hope it helps :) :)

Good luck!!

se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?

Answers

Answer:

40,000 baldosas

Step-by-step explanation:

Lo primero que debemos hacer aquí es calcular el área del patio rectangular.

El mejor enfoque para esto es convertir primero sus medidas a centímetros

Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.

El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2

Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos

Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas

Rewrite the function in y.
2x – 4y = 8

Answers

Answer:

-4y=8-2x

Step-by-step explanation:

a guess

Answer:

y = 1/2 x -2

Step-by-step explanation:

2x – 4y = 8

Solve for y

Subtract 2x from each side

2x – 4y -2x= -2x+8

-4y = -2x+8

Divide each side by -4

-4y/-4 = -2x/-4  + 8/-4

y = 1/2 x -2

Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? Verify that the intersection point show in your graph is a solution for both equations

Answers

Answer:

At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.

Step-by-step explanation:

"Golden Corral charges $11 for a buffet plus $1 for each drink."

d + 11

"Western Sizzlin charges $9 for a buffet plus $2 for each drink."

2d + 9

Set the 2 cost functions equal:

2d + 9 = d + 11

d = 2

At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.

Please answer this in two minutes

Answers

Answer:

∠ G ≈ 38.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus

∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )

The correct answer is 38.9

Step by step below

Write the function in standard form.
Y=(3x-2)(3x+6)

Answers

Answer:

y = 9x^2 + 12x - 12.

Step-by-step explanation:

y = (3x - 2)(3x + 6)

y = 9x^2 - 6x + 18x - 12

y = 9x^2 + 12x - 12.

Hope this helps!

A spinner has four equal-sized sections that are red, yellow, blue, and green. Write the sample space if the spinner is spun two times. Use abbreviations if you wish.

Answers

Answer:

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Step-by-step explanation:

A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).

If the spinner is spun two times, the sample space is given as follows.

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?

Answers

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m

       

Please help me someone

Answers

Answer: Surface area is 169π

Step-by-step explanation:

[tex]A=\pi \cdot \:d^2[/tex]

[tex]A=\pi d^2[/tex]

[tex]A=\pi 13^2[/tex]

[tex]A=169\pi[/tex]

is 0.99 an repeating number

Answers

Answer:

no its not

Step-by-step explanation:

a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.

Use the table to find the products of the polynomial

pls help i’m having so much trouble with this and i don’t understand

(x^2 + x - 2)(4x^2 - 8x)

Answers

Answer:

Step-by-step explanation:

Hello,

The table is as below

[tex]\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}[/tex]

It gives

[tex]4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a) y = x – 4 b) y = –1x + 4 c) y = x + 4 d) y = 4x + 1

Answers

Answer:

y = x+4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 1x+4

y = x+4

Answer:

[tex]\boxed{y=x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of a line:

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

m is the slope and b is the y-intercept

[tex]m=1\\b=4[/tex]

[tex]y = 1x+4[/tex]

A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?

Answers

Answer:

Hey there!

A total of 250-175, or 75 liters of water evaporated.

75/250=0.3, or 30%

30% of water evaporated.

Hope this helps :)

Hey there! I'm happy to help!

First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.

250-175=75

75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.

75= x·250

We simply divide both sides by 250 to isolate the x, giving us x=0.3

0.3 is 30% as a percent, so this means that 30% of the water evaporated.

I hope that this helps! Have a wonderful day!

3x - 17 = 46 . solve for x

Answers

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

[tex]3x - 17 = 46[/tex]

If we add 17 to both sides:

[tex]3x = 63[/tex]

Now we can divide both sides by 3:

[tex]x = 21[/tex]

So [tex]x = 21[/tex].

Hope this helped!

Answer:
x= 21

Explaination:
3x - 17 = 46
3x = 46 + 17
3x = 63
3x/3 = 63/3
x = 21

If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !

Answers

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

Two cars leave the park at the same time one travels north at a speed of 50 km an hour for two hours the second car travels west at a speed of 80 km an hour for two hours after the two hours how far apart are the two cars

Answers

Answer:

50 km/hr * 2hr = 100km

80 km/hr * 2hr = 160km

using pythagorean theorem: x = sqrt((a^2)+(b^2))

x = sqrt ((100^2) + (160^2)

x = 188.67 km

Step-by-step explanation:

What is the slope of the line shown below? (-2,3) (-4,-9)

Answers

Answer:

6

Step-by-step explanation:

Let the points be A and B

A ( - 2 , 3 ) -------> ( x1 , x2 )

B ( -4 , -9 ) -------> ( x2 , y2 )

Now, finding the slope:

[tex]slope \: (m) = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] = \frac{ - 9 - 3}{ - 4 - ( - 2)} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 4 - ( - 2)} [/tex]

When there is a (-) in front of an expression in parentheses , change the sign of each term in expression

[tex] = \frac{ - 12}{ - 4 + 2} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 2} [/tex]

Reduce the fraction with -2

[tex] = 6[/tex]

Hope this helps..

Best regards!!

look at the picture find the value of z

Answers

Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

Help to answer the questions.. ​

Answers

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

  see below

Step-by-step explanation:

The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).

Shifting the function 2 units left does not change the domain.

Shifting the function 4 units up moves the range to [2, ∞).

Jan wants to lay sod on this lot. How
much sod does he need?
In sq.ft.
Type in your response.

Answers

Answer:

148.5 sq. ft.

Step-by-step explanation:

Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.

Lot is in trapezium shape

area of trapezium is given by = 1/2(sum of parallel sides) height

parallel sides has length 15 and 18 feet

sum of parallel sides = (15+18) = 33

height = 9 feet

thus area of lot = 1/2(33)9 = 148.5

Thus, Jan will need 148.5 sq. ft of sod.

A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?

Answers

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330

Answers

Yes a triangle is formed with given measurements
By using Heron’s formula
S=a+b+c/2
S=240+132+330/2=351
Area = root of s(s-a)(s-b)(s-c)
By substituting the values
We get that 13385.874....

somebody plz answer.

Answers

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Im stuck!! Help needed please, ill mark the right anwser as brainliest

Answers

Answer:

C and D

Step-by-step explanation:

A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:

1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.

2. Max value: the largest value in the data set indicated at the end of the whisker to our right.

3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.

4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.

5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.

The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.

Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.

The correct choices are option C and D.

I need help for this problem!

-9(x + 6) = 18 ​

Answers

Factor -9(x+6)

-9x - 54 = 18
+54 +54

-9x = 72
/-9x /-9x

The answer would be x = -8

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4). What is the perimeter of kite KLMN? StartRoot 2 EndRoot + StartRoot 5 EndRoot units StartRoot 14 EndRoot units 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 5 EndRoot units HELP PLEASE

Answers

Answer:

[tex]2\sqrt{2} +2\sqrt{5}[/tex]

Step-by-step explanation:

i just got this one right

the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]

Answer:

The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test

Step-by-step explanation:

it's due todayyyyyyy (;ŏ﹏ŏ)​

Answers

The correct answer are

Sue interest : 169.6061952

Bill interest: 189.9131472


B. Bill will get more interest then sue


Explain


Sue principal balance p= 2300

Interest for 3 years so t= 3

Interest is compounded yearly n= 1

R= 2.4%

A= 2300(1+2.4/100)^3 = 2300(1+0.024)^3 = 2300 x (1.024)^3 = 2469.6061952

Interest for 3 year is A-p= 2469.6061952 -2300

169.6061952





Bill principle p= 1800

Interest for 3 years t= 3

Interest compounded so n= 1

R= 3.4%


A= 1800(1+3.4/100)^3 = 1800 (1+0.034)^3 = 1800 (1.034)^3 = 1989.9131472

Interest in 3 yrs = 1989.9131472 - 1800 =

189.9131472



For B is below

Hopefully this help you :D

) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference​

Answers

Step-by-step explanation:

the first answer is 72 as it is it

Answer:

The answer is 8.

Step-by-step explanation:

The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.

Other Questions
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