Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE =2x, BE = y +10, CE =x+2 and
DE = 4y - 8. Find x.
A. 4
B. 6
C. 2
D. 8

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Given parallelogram ABCD with diagonals AC and BD intersect at point E, then;

AE = CE and BE = DE

Given;

AE =2x, BE = y +10, CE =x+2 and  DE = 4y - 8.

Recall that AE = CE

2x = x+2

2x - x = 2

x = 2

Hence the value of x is 2


Related Questions

Write an algebraic expression for the phrase.

the sum of d and twice g

Answers

Answer:

d + 2g

Step-by-step explanation:

Sum of: +

d: d

Twice g: 2 × g = 2g

Sum of d and twice g: d + 2g

um hi here to say have a good day haha okay

The snowman and a snow woman Are comparing heights frosty snow white Jack Frost and snowflake are lining up an order from the shortest the tallest Rossi is not the tallest or the shortest snow white is higher than Jacq Frost and snowflake Jack Frost is shorter than frosty check for us is not the shortest in what order are they standing

Answers

Answer:

They are standing in tallest to shortest.

The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x dollars.
A. the daily profit the company would make from the T-shirts if it gave the T-shirts away for free

B. the greatest daily profit the company could make from selling the T-shirts

C. a selling price that would result in the company making no profit from the T-shirts

D. the selling price that would result in the company making the greatest daily profit from the T-shirts

Match each item with what it represents in this situation by entering the appropriate letter in each box.


x-coordinate of the vertex of the function


y-coordinate of the vertex of the function


an x-intercept of the function


a y-intercept of the function

Answers

Answer:

D,B,C,A

Step-by-step explanation:

Look at the picture

:)

Answer:

Yep D, B, C and A

Step-by-step explanation:

A child is given a teaspoon of medication for every 20 pounds he weighs. What happens to the number of teaspoons of medication given when the weight of the child changes?
a) When the number of pounds increases, the number of teaspoons of medication given increases.
b) When the number of pounds decreases, the number of teaspoons of medication given stays the same.
c) When the number of pounds increases, the number of teaspoons of medication given decreases.
d) When the number of pounds decreases, the number of teaspoons of medication given increases.

Answers

Answer:

A is the correct answer to the problem

Answer:

the first choice when pounds increase so does medication.

Step-by-step explanation:

Check all the answers that are true.
>
100
7
B.
V
00
10
7
o C.
5
6
D.
<
12
10
E.
<

Answers

A C and D

put the fractions into a calculator dividing the top one by the bottom one and just determine whichever one is greater ^^

What happens to the value of the expression 20+a20+a20, plus, a as aaa increases?

Answers

i think it is 60 because 30 divided by 3-4 equals 2Step-by-step explanation:

Answer: Choice A

Step-by-step explanation:

it increases

Select the expressions that are equivalent to 4(r+5)

Answers

Answer:

u have provided the options but these things are possible:

4r+20

2(2r+10)

Step-by-step explanation:

evaluate 2 - 3 + (-5) + (-3)

Answers

Answer:

-9

Step-by-step explanation:

2 - 3 + (-5) + (-3)

2-3 - 5 - 3

-1 -5 -3

-6-3

-9

2-3=-1
(-5) + (-3) = -8
(-1) + (-8) = -9
hope this helps :)

On a certain hot​ summer's day, 500 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $942.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

IIG&UI*^&TG763eh783hiubydhe8743h^%ti289d3r8hf4y9h39857ty58i5

How to solve this with steps? its Calculus-3

Answers

Answer:

[tex]\mathbf{v}(\pi/4)=-3\mathbf{i}+3\mathbf{j}+3 \mathbf{k}[/tex]

Step-by-step explanation:

Instantaneous Velocity

Given r(t) as the vector function of the position for time t, the instantaneous velocity is computed as:

[tex]\mathbf{v}=\frac{d\mathbf{r}}{dt}=\mathbf{r}'(t)[/tex]

We are given:

[tex]\mathbf{r}=\sin^2(3t)\mathbf{i}+3t\mathbf{j}-\cos^2(3t)\mathbf{k}[/tex]

Thus:

[tex]\mathbf{v}(t)=\mathbf{r}'(t)=[\sin^2(3t)\mathbf{i}+3t\mathbf{j}-\cos^2(3t)\mathbf{k}]'[/tex]

Computing the derivative:

[tex]\mathbf{v}(t)=2\sin(3t)\cos(3t)(3)\mathbf{i}+3\mathbf{j}+2\cos(3t)\sin(3t)(3)\mathbf{k}[/tex]

[tex]\mathbf{v}(t)=6\sin(3t)\cos(3t)\mathbf{i}+3\mathbf{j}+6\cos(3t)\sin(3t)\mathbf{k}[/tex]

Evaluating for t=π/4:

[tex]\mathbf{v}(\pi/4)=6\sin(3\pi/4)\cos(3\pi/4)\mathbf{i}+3\mathbf{j}+6\cos(3\pi/4)\sin(3\pi/4) \mathbf{k}[/tex]

[tex]\mathbf{v}(\pi/4)=6(\sqrt{2}/2)(-\sqrt{2}/2)\mathbf{i}+3\mathbf{j}+6(-\sqrt{2}/2))(\sqrt{2}/2)) \mathbf{k}[/tex]

[tex]\mathbf{v}(\pi/4)=-3\mathbf{i}+3\mathbf{j}-3 \mathbf{k}[/tex]

Helopppp plssssssss asaaaapppppp

Answers

Answer:

Exact Form:

x = 32 /189

Decimal Form:

x =  0. 169312

Step-by-step explanation:

hope it helps

Answer: i looked into it and i think its (189r )

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!

Find all real square roots of 81. If there is more than one answer, separate them with commas. If there are none, click on "None".

Answers

Answer:

the answer is 9×9 and -9×-9

The answer is 9x9 and -9x-9

X 6 10 12 y 45 75 90

Answers


i have no idea sorry

IF CORRECT BRAINIST!!! HELPPP This table show the total distance d, in kilometers, a truck
traveled after t hours.
Which equation shows the relationship between d and t?

d = 100t
d = t + 100
d = 300t
D= f + 300

Answers

Answer:

d=100t

Step-by-step explanation:

plz give brainliest

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah’s conclusion correct? Explain

Answers

Answer:

No. 30/60 and 15/30 is not overwhelming.

Step-by-step explanation:

Half of the students said they could drive. This is not more likely it's just half and half.

Answer:

No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation:

What is Y/-3 = 1/6,

Answers

Answer: y=1/2 of the whole

Answer:

y/-3=16=-3 y/-3

=-3 1/6

simplify

=- 1/2

Find the slope using (-19,12) and (-9,1)

Answers

Answer:

Slope = -13/10

Step-by-step explanation:

In order to find a slope of an equation, you must use the equation for a slope:

Slope = (y2 - y1) / (x2 - x1)

Use the provided coordinates in order to plug in the x and y values:

(-19, 12)

(-9, 1)

y2 = 12

y1 = 1

x2 = -19

x1 = -9

( 12 - 1) / (-19 - -9) = (13) / (-19 + 9) = 13 / -10 = -13/10

Need help please with step by step

Answers

Recall some properites of exponentiation:

[tex]a^b\times a^c=a^{b+c}[/tex]

[tex]\left(a^b\right)^c=a^{b\times c}[/tex]

So for

(-2 x ² y ⁻¹) ⁻² (5 x ³ y) ²

first distribute the outermost exponents across each product:

((-2)⁻² (x ²)⁻² (y ⁻¹)⁻²) (5² (x ³)² y ²)

Simplify the powers using the multiplication property (the second one listed above) of exponents:

((-2)⁻² x ⁻⁴ y ²) (5² xy ²)

Combine powers of the same terms using the addition property (the first one):

(-2)⁻² 5² x ⁻⁴⁺⁶ y ²⁺²

(-2)⁻² 5² x ² y

Finally, simplify the coefficient:

(-2)⁻² = 1 / (-2)² = 1/4

5² = 25

So you end up with

25/4 x ² y

What is the domain of the graph to the left

Answers

There is no graph picture please upload a picture ~brainly



can someone pls help me with this question.

Answers

Answer:

I believe the answer is the last option.

Step-by-step explanation:

7radical(3) plus 6 = 18.12435565

18.12435565 is a irrational number.

Yes I agree with the answer

HELP ME!!!!!!!!!!!!!!!!!!!!111

Answers

Answer:

-40

Step-by-step explanation:

(-40) divided by 5 is (-8)

Answer:

x=-40 I think hope I helped you :)

Helllppp me hurrryyyy pleaseeeeee

Answers

Y=-2/7x+5

This is the answer

Answer:

y=(-2/7)x +5

Step-by-step explanation:

slope m= -2/7, y-intercept 5

y= mx+b

y=(-2/7)x +5

Given f(x)=
7(3 – x), what is the value of f(-2)

Answers

Answer:

35

Step-by-step explanation:

Substitute  (-2) in place of x

f(x) = 7(3-(-2)) = 7(3+2) = 7 (5) = 7 * 5 =35

What is a system of equations for the following situation? A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.

Answers

Answer:

the second option

Step-by-step explanation:

since 12 people went in total, adults plus children would equal this value.

Together, they all paid 100 dollars. Therefore, since adults are 10 dollars and children are 6, multiplying these charges by the amount that showed up will give you 100 dollars.

Answer:the second on

Step-by-step explanation:

A furniture store had a chair that coast $47. After a few months the owner took 9% off of the price. How much is the chair now?

Answers

If the furniture store took 9% off you would subtract and get 38 if you do subtract 47-9=38.

Find the exact length of the third side.
52
48

Answers

Answer:

Here in diagram this is a Right angled triangle wherehypontenuse =h=52Base=b=48

We need to find

perpendicular =p

According to Pythagorean theory

[tex]{\boxed{\sf h^2=p^2+b^2}} [/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2 [/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}[/tex]

Substitute the values

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=20 [/tex]

Find the total cost of a $363.99 airline ticket with a sales tax of 9%

Answers

Answer: Before Tax Price: $363.99

Sale Tax: 9.00% or $32.76

After-Tax Price: $396.75

Solve the system by substitution
y = 6x -24
y = -2x

Answers

Answer: x = 3, y = -6

Step-by-step explanation:

Substitute the y into the equation to get -2x=6x-24

8x=24 so x = 3. Then plug x=3 into the second equation to get y = -6

Plug second equation into first
-2x = 6x - 24
Subtract 6x from both sides
-8x = -24, x = 3
Plug 3 for x in second equation
y = -2(3), y = -6
Final answer: x = 3, y = -6

Find the area of the shape shown below.
units 2=

** please help me this is due today at midnight
thank you
---cant give more points sorry

Answers

go watch netflix

and chill my

In 2004 the gross world product, W, (total output in goods and services) was 54.7 trillion dollars and growing at a continuous rate of 3.8% per year.

Required:
a. Write a formula for W, the GWP (in trillions of dollars), as a function of years, t, since 2004.
b. Estimate the value of t when the GWP is predicted to reach 85 trillion dollars

Answers

Answer:

W = 54.7*e^0.038t

11.6 years

Step-by-step explanation:

Given that :

Initial value = 54.7 trillion dollars

Continuous Growth rate (r) = 3.8% = 0.038

Using the exponential growth model formula :

W = P0*e^kt

Where ;

y = final amount ; P0 = initial value ; t = time ; k = growth rate constant

W = 54.7*e^0.038t

Value of t when W = 85 trillion

W = 85

85 = 54.7*e^0.038t

85 / 54.7 = e^0.038t

1.5539305 = e^0.038t

Take In of both sides

0.4407875 = 0.038t

Divide both sides by 0.038

t = 11.599672

t = 11.6 years

Other Questions
please help ill give brainliest 100 POINTS, PLEASE HELPPurposeTo create a propaganda poster that expresses support for or opposition to a current social or politicaltopicAssignment PromptIn this assignment, you will create a propaganda poster that expresses support for or opposition to acurrent social or political topic. Your teacher will approve your proposed topic.Your poster should contain text, images, and/or symbols. It should be neat, free from errors in content orgrammar, and clearly organized. This propaganda poster should motivate the general public to supportyour point of view.Assignment InstructionsStep 1: Read the assignment prompt carefully.a) As you read the prompt, take notes about what you will need to find as you prepare yourideas.b) If you have any questions about what the prompt means or what it is asking you to do, askyour teacher for assistance.Step 2: Gather materials and necessary information.a) Conduct research on the current social or political issue you chose.b) Conduct research to find support for your opinion to include on your poster.c) Think about the images, symbols, and text that you will use to express yourideas.Remember that a strong poster is easy to understand, is clearly organized, and makesgood use of text and graphics.d) Ask your teacher whether you will be using presentation, drawing, word-processing, orartistic software to develop the poster. You might also be able to use poster board, markers,and other supplies. Ask your teacher for more guidance.Step 3: Think about these steps for creating a successful poster.a) Plan Sketch out your poster on a piece of paper.b) Draft Create a rough draft of your poster.c) Revise Review your work, correct mistakes, and make improvements. Write a point-slope equation for the line that has slope 4 and passes through the point (11,7). Do not use parenthesis on the y-side. What is the predicted profit when the number of items made (x) is 2,500, and the number of stores stocking the product (x2) is 5, using the estimated regression equation y=550 + 30x1 + 9x2? a. 1,345 b. 23,200 c. 8,095 d. 75,595 When comparing a well-designed muscular strength workout to a well-designed muscular endurance workout, you would conclude that __________.A.fewer repetitions with heavier weights would build muscular strength, while less weight and more repetitions would build muscular enduranceB.more weight and more repetitions build strength, while less weight and fewer repetitions build enduranceC.moderate weight with high repetitions builds strength, while heavy weight with low repetitions builds enduranceD.less weight with low repetitions builds strength, and moderate weight with low repetitions builds endurancePlease select the best answer from the choices provided.ABCD A circle is inscribed in a square. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answers in terms of pi Why is there such a large jump and ionization energy between the second and third ionization energys for magnesium? please help asap!! i will give brainliest Which word best describes an investigative journalist?InterviewerWriterDetectiveConsumer What is 65% of 15. Help HELPPPPPPPPP MEEEEEEEEE PLEASE SOMEONE answer bothhhhh Compared with supporters of federalism, supporters of states' rights wantedO a commitment to neutrality.O a strong central government.O weak political parties.O aweak central government. The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the following. a) What percentage of students have scores between 70 and 130? b) What percentage of students have scores between 55 and 115? c) Where would approximately 99.9% of the fall between? Thank you will mark brainliest Evaluate the following expression if a = 9, b = 3, and c = 13ac (2b) If a(x)=3x+1 and b(x)= x-4, what is the domain of .. what animals are prey NHCI.Name this ionic compound Consider the set whose elements are the graphs having vertex set {1, 2, 3, 4}, and consider the relation on that set, where two graphs are equivalent provided that they have the same number of edges. How many equivalence classes are there? what is the main function of an operating system