Given: parallelogram ABCD with AB = 2x, CD = 3y + 4, BC = x + 7, and AD = 2y. Find the
lengths of the sides of the parallelogram.

Answers

Answer 1
AB = 58
CD = 58
BC = 36
AD = 36

Explain:

AB = CD
BC = AD
2x = 3y + 4 (1)
x + 7 = 2y (2)
From (1) and (2):
=> x = 29, y = 18
AB = 2x = 2*29 = 58
CD = 3y + 4 = 3*18 + 4 = 58
BC = x + 7 = 29 + 7 = 36
AD = 2*y = 2* 18 = 36

Related Questions

Please help! Geometry 9th grade

Answers

Answer:

69.3

Step-by-step explanation:

if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3

What is the range of the function y = x² + 1?

Answers

Answer

[ 1 by 2, -1 by 2 ]

Step-by-step explanation:

https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg

Answer:

range { 1, ∞ }

Step-by-step explanation:

y = x² + 1

is a parabola with its vertex at (0, 1)

The range is { 1, ∞ }

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Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:


Position Open Side Up Closed Side Up Landing on Side

Number of Times Landed in Position 1 5 44



Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Answers

Answer:

Closed side up : 5/50

1/50 = open side up

44/50 = landing side

experimental probablity Formula:

no. of times event was conducted/ Total no. of times experiment was conducted.

Let's first start with open side up.

No. times it was conducted was 1.

Total no times experiment conducted:  50 times

1/50 = open side up

Closed side up

No. times it was conducted was 5

Total no times experiment conducted:  50 times

5/50

The same for landing on side :

44/50

Have a wonderful day!!

The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is  given as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For the given case, if we name the events for results of tossing of paper cup as:

A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sides

Then, as it is given that:

Number of times paper cup was tossed = 50

Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44

Thus, their experimental probabilities are obtained as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Learn more about experimental probability here:

https://brainly.com/question/2547434

solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]

Answers

Answer:

x = 2 ±sqrt( 97)

Step-by-step explanation:

log10(x^2 -4x+7) =2

Raise each side to the base 10

10 ^ log10(x^2 -4x+7) =10^2

x^2 -4x +7 = 100

Subtract 7 from each side

x^2 -4x+7-7 = 100-7

x^2 -4x = 93

Complete the square

-4/2 = -2  (-2)^2 = 4

Add 4 to each side

x^2 -4x+4 = 93+4

(x-2)^2 = 97

Take the square root of each side

sqrt((x-2)^2 )=±sqrt( 97)

x-2 = ±sqrt( 97)

Add 2 to each side

x = 2 ±sqrt( 97)

please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!

Answers

Answer:

Just use a calculator and wite the square root value in it

Step-by-step explanation:

Atempt this method with all options at last u will have ur answer

What is the domain of the function shown below?
[tex]y = log_{3}(x + 2) [/tex]
A. All real numbers greater than -2
B. All real numbers less than 2
C. All real numbers
D. All real numbers greater than 0​

Answers

Answer:

A

Step-by-step explanation:

A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.

describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table ​

Answers

Answer:

y(x) = 2x+3

Step-by-step explanation:

the rule is y(x) = 2x+3

if a car covers 82.5 km in 5.5L of gas, how much distance will it cover in 13.2L of gas?

Answers

Answer:

198 KM

Step-by-step explanation:

82.5KM/5.5L= 15KM per liter

13.2 x 15 = 198 KM

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h. She goes to the park to walk 2 miles on a Monday. How long will she take to walk 2 miles?

Answers

Answer:

12 minutes

Step-by-step explanation:

Given

[tex]s_1 = 10mi/h[/tex] --- walk speed

[tex]s_2 = 20mi/h[/tex] --- jog speed

[tex]d = 2\ miles[/tex] --- distance

Required

The time to walk the given distance

Time is calculated as:

[tex]Time = \frac{distance}{speed}[/tex]

In this case, the speed is the speed at which she walks.

So, we have:

[tex]Time = \frac{d}{s_1}[/tex]

Substitute known values

[tex]Time = \frac{2mi}{10mi/h}[/tex]

[tex]Time = 0.2hr[/tex]

Convert to minutes

[tex]Time = 0.2 * 60mins[/tex]

[tex]Time =12mins[/tex]

please help i’ll mark brainliest

Answers

Answer:

x=0

x=6

x=-1

Step-by-step explanation:

x(x^2-5x-6)

x(x-6)(x+1)

x=0

x=6

x=-1

bananas baby bannana

Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how many bags do you get?

Answers

Answer:

40*8.5=340

6*90=540

total=880/2.5=352bags

8w + 19 - 4w = -5? What is the value of w?

Answers

Answer:

4w = -5-19

4w=-24

w=-6

hope that answers your question

good luck

How do I solve this problem?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Short answer: to solve this problem, follow directions.

a. Write the inequalities

Let c and p represent numbers of cakes and pies produced daily. Then the constraints are ...

  2c +3p ≤ 108 . . . . . . . . available hours of preparation time

  1c +0.5p ≤ 20 . . . . . . . available hours of decoration time

  p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced

__

b. Sketch the feasible region

It works well to let a graphing calculator do this.

The feasible region is the doubly-shaded area with vertices ...

  (0, 0), (0, 36), (3, 34), (20, 0)

__

c. Write the profit function

Profit is $25 per cake and $12 per pie, so is ...

  p = 25c +12p

__

d. Determine maximum profit

The attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.

The maximum profit is $500 per day for production of 20 cakes.

_____

Additional comment

We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.

As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.

A construction crew is completing about 40 yards of a new highway each day. At this rate, how long will it take them to complete a stretch of 1.6 miles? Round your answer to the nearest tenth if necessary

Answers

Answer:

70 days

Step-by-step explanation:

that is the procedure above

Two thirds of the students in a class have pets. There are
36 students in the class. How many of the students have pets?

Answers

I am so sorry if this is wrong. But I hope it helps u.


Answer is - 24

I did 2/3x 36 =24
Answer:

24 of the students have pets

Step-by-step explanation:

Two thirds of the students in a class have pets =

2/3 of the students in a class have pets

If there’re 36 students in the class, how many of the students have pets?

Step 1. Convert 2/3 as a decimal

2/3 = 66.6

Step 2. Use part/whole = part/whole

66.6%/100% = ?/36

Let ? represent the amount of students who have pets in class

Step 3. Divide 66.6/100

0.666

Step 4. Then multiply it by 36

24
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doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

what is the ordered pair to (-4,2)

Answers

Answer:

(1,2) is ordered pair to (-4,2).

Step-by-step explanation:

(1,2)

hora khoi thaha vayena hai

Simplify : -2a(a-d)+2a(2a-3D) pls help.

Answers

-2a(a - d) + 2a(2a - 3d)

(-2a * a) + (-d * -2a) + (2a * 2a) + (2a * -3d)

-2a^2 + 2ad + 4a^2 - 6ad

(4a^2 - 2a^2) + (2ad - 6ad)

2a^2 - 4ad

---The above expression is simplified, though not fully. The below expression is fully simplified.

2a(a - 2d)

Hope this helps!

Help me pls

Find the missing segment in the image below

Answers

Answer:

The answer is 12

Step-by-step explanation:

You see its because.

Answer:

?=12

Step-by-step explanation:

Using the Thalès's theorem:

[tex]\dfrac{6}{6+4}=\dfrac{?}{20} \\\\?*10=6*20\ (cross\ products)\\\\?=\dfrac{6*20}{10} \ dividing\ by\ 10\\\\?=12[/tex]

3% of what number is 1.86

Answers

Answer:

62

Step-by-step explanation:

Of means multiply and is means equals

.03 * n = 1.86

Divide each side by .03

.03n/.03 = 1.86/.03

n =62

10-7+12 dived (2^3-6) hope you can answer

Answers

Answer:

The answer is 7.5

The baseball team has a double-header on Saturday. The probability that they will win both games is 34%. The probability that they will win the first game is 75%, What is the probability that the team will win the second game given that they have already won the first game?
A. 45%

B. 74%

C. 90%

D. 26%

Answers

Answer:

A. 45%

Step-by-step explanation:

34/75=45 = 45%

How do I solve this problem? The trouble that I have is evaluating if 2^∞ or ∞³ is larger?

Answers

For large enough x, exponential functions like 2ˣ will always dominate a polynomial of any degree. This is to say the denominator will always be larger than the numerator (again, for sufficiently large x). So the limit in this case would be 0. (I'll leave a link in comments to a variety of answers regarding this detail.)

But if you've been introduced to L'Hopital's rule: we have

[tex]\displaystyle \lim_{x\to\infty}\frac{5x^3+10}{6\times2^x-1} = \lim_{x\to\infty}\frac{15x^2}{6\ln(2)\times2^x} = \lim_{x\to\infty}\frac{30x}{6\ln^2(2)\times2^x} = \lim_{x\to\infty}\frac{30}{6\ln^3(2)\times2^x} = \frac1\infty = 0[/tex]

The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²​

Answers

Answer:

Step-by-step explanation:

let the height of the room(h) = x

Length(l) = 3*x = 3x

length = 2 * breadth

breadth(b) = length /2 = 3x/2

Cost of whitewashing the 4  walls = ₹ 7200

Area of 4 walls = 7200 ÷ 50 = 144 m²   ------(I)

Area of walls = 2lh + 2bh

                      = 2*3x*x + 2  *[tex]\frac{3x}{2}[/tex] * x

                       = 6x² + 3x²

                        = 9x²

9x² = 144    {From (I)}

x²  = 144/9

x²  = 16

x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]

x = 4 m

height = 4 m

length = 3*4 = 12m

Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]

Area of floor = l*b

                    = 12 * 6

                    = 72 m²

Cost of carpeting the floor = 72 * 325 = ₹ 23400

1) A couple is expecting the birth of a baby boy. They will name the child by choosing a first name
and middle name from this list of their favorite boys' names: Jacob, Jonah, Joshua, Jeremy,
James, Joseph. The first name will be different from the middle name.
How many different two-part names are possible? (Example: Joseph Jeremy, Jeremy Joseph,
and Joshua James are three different, valid two-part names; Jacob Jacob is not a valid
possibility.)
a) 36
b) 12
c) 30
d) 11

Answers

Answer:

C. 30

Step-by-step explanation:

We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

n = total number of objects

r = number of objects selected

In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.

[tex]_6P_2=\frac{6!}{(6-2)!}=30[/tex]

Therefore, there are 30 possible two-part names.

Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm

A motorboat travels 81 miles in 3 hours going upstream. It travels 135 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

27, 18

Step-by-step explanation:

Here's why

Write each decimal as a fraction or mixed number in simplest form -0.4

Answers

Answer:

-2/5

Step-by-step explanation:

what is 15 out of 24 as a percent?

Answers

It is 62.5 you will divide 15 out of 24 then multiply by 100

Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?

Answers

Let the cost of a lamp = x

6 lamps would cost 6x

He bought 3 lamps at 3x plus Thad 950 left.

3 lamps plus the 950

Would be the same amount as 6 lamps:

Set up an equation and solve for x:

3x + 950 = 6x

Subtract 3x from both sides:

950 = 3x

Divide both sides by 3:

X = 316.67

Each lamp was $316.67

Multiply the price of a lamp by 6:

316.67 x 6 = 1900

He had $1900

Answer: $1900

Step-by-step explanation:

Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).

So, if he take money remaining with him = x = $950

Amount of money he first had = 2x =$950×2 = $1900

Other Questions
Ben is working in an IT services organization that uses the National Institute of Standards and Technology (NIST) functional impact categories to describe the impact of incidents. During a recent construction project, a contractor plugged a network device to the same switch twice, resulting in a network loop and taking down the organization's network for one-third of its users. Which functional impact category should Ben use to classify the event given in the scenario Read the passage from "Marriage Is a Private Affair" byChinua Achebe.How does Okeke's change in attitude challenge thepatriarchy?Then one day he received a letter from Nene, and inspite of himself he began to glance through itperfunctorily until all of a sudden the expression on hisface changed and he began to read more carefully.... Our two sons, from the day they learnt thatthey have a grandfather, have insisted on beingtaken to him. I find it impossible to tell them thatyou will not see them. I implore you to allowNnaemeka to bring them home for a short timeduring his leave next month. I shall remain here inLagos...The old man at once felt the resolution he had built upover so many years falling in. He was telling himselfthat he must not give in. He tried to steel his heartagainst all emotional appeals. It was a re-enactment ofHow does Okekes change in attitude challenge the patriarchy?Okeke has no desire to see his grandsons becausethey come from a marriage he did not approve.o Okeke is insulted and disturbed that Nene has senthim such a rude letterO Okeke wants to see his grandsons even though theyare not the product of a traditional arrangedmarriageO Okeke is surprised that his son and daughter-in-lawhave refused to let him see his grandsons. The United States declared war on Germany a in response to demands by American munitions makers. b because it appeared that France was about to surrender. c because Wall Street bankers demanded it. d after Mexico signed an alliance with Germany. e after German U-boats sank four unarmed American merchant vessels. Help ASAP Translate These Sentences to EnglishMe prestas un poco de dinero?Ellos nos dijeron que su amigo est en el hospital.A l le encanta el helado.Te paso la informacin ms tarde.Nos llevaron las maletas al cuarto.Te quiero dar un consejo.Mi ta le envi un regalo por correo.Su jefe le trajo medicina.Mi cosa favorita que me han regalado es un libro en espaol.Les gustan ms este o el otro? any person for the job he applied Force moment or torque Which of the following best depicts the use of Geographic Information Systems?City planners using layered maps to decide where to build a parkWireless routers providing internet signalGovernment workers constructing a new interstate highway systemRetail stores advertising a new product If a conducting loop of radius 10 cm is onboard an instrument on Jupiter at 45 degree latitude, and is rotating with a frequency 2 rev/s; What is the maximum emf induced in this loop? If its resistance is 0.00336 ohms, how much current is induced in this loop? And what is the maximum power dissipated in the loop due to its rotation in Jupiter's magnetic field? The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9) 2. A person jogs 4.0 km in 32 minutes, then 2.0 km in 22 minutes, and finally 1.0 km in 16 minutes.What is the jogger's average speed in km per minute? What is the perimeter of the octagon below!! Help me please and thank you A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1.9n when 100 Sn = 500 1.8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1.3c. What is the cost of the cereal if the grocery store buys 250 boxes? find the area of the right triangle What is the range for the followingnumbers?5, 1, 12, 3, 4, 2, 10 Please due in 1 hour About a Month And A Half I Got A 10x & 25x Aquarium I Had 9 Fish And Betta Pebbles And In Less Than a Week 1 to 2 Fish Die A Day And I Believe Its The Betta Rocks Because The Rock Package Says Medicine For Bettas But Lethal To Fish, Bc There's Medicine In The Rocks That Affect The Water And It Helps Betta Fish But Lethal To Other Fishes.I Have 2 Turtles And Almost a Month There Living In Betta Rocks And There OK. Determine the magnitude as well as direction of the electric field at point A, shown in the above figure. Given the value of k = 8.99 1012N/C. which best describes a bacterium The voltage in an EBW operation is 45 kV. The beam current is 50 milliamp. The electron beam is focused on a circular area that is 0.50 mm in diameter. The heat transfer factor is 0.87. Calculate the average power density in the area in watt/mm2. f(x) = (2x 1)(3x + 5)(x + 1) has zeros at I = -1cole2= -1, and x =What is the sign of f on the interval5