Given that DRWH is a parallelogram, determine the values of x and y.

Given That DRWH Is A Parallelogram, Determine The Values Of X And Y.

Answers

Answer 1

Answer:

the opposite sides of the parallelogram are equal.

so DR = HW mean : 2 y + 2 = 3 y - 9

3y - 2y = 9+2

y = 11

RW = y+4 = 11+4 = 15

DH = RW

so, 3 x + 6 = 15

3x = 15-6 = 9

x = 3


Related Questions

graph the following system of inequalities. y ≤ 1 3 ⁢ x − 2 x < 4

Answers

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

How to graph a system of inequalities?

An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

Given the following system of inequalities:

y ≤ 1/3x  ⇒ y - 1/3x ≤ 0

y - 2x < 4

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

Complete Question:

Graph the following system of inequalities.

y ≤ 1/3x and y - 2x < 4

If n is a whole number, and 0.01 is between 1/n and 1/n+2, what is the value of n?

Answers

The value of n is 99

Integers are the set of numbers including all natural numbers and 0. They are part of the real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered whole numbers.

Natural numbers together with zero (0) are referred to as whole numbers. We know that natural numbers refer to the set of counting numbers starting from 1, 2, 3, 4 and so on. Simply put, integers are a set of numbers without fractions, decimals, or even negative integers. It is a collection of positive integers and zero. Or we can say that integers are the set of non-negative integers.

Integers are the set of natural numbers togethe with the number 0. In mathematics, the set of integers is given as {0, 1, 2, 3, ...}, denoted by the symbol W.

W = {0, 1, 2, 3, 4, …}

All natural numbers are integers.

All integers are real numbers.

It is given that If n a whole number, and 0.01 is between 1/n and 1/n+2, then we need to find the value of n.

1/n+2 < 0.01 < 1/n

1/n+2 < 1/100 < 1/n

n< 100 < n +2

Put n = 99, then we get

99 < 100 < 101

Hence the value of n is 99.

Learn more about whole numbers here:

https://brainly.com/question/28052750

#SPJ4

43. A Pop Warner football team had a total loss of 85 yards in penalties on 5 plays. Then triple their yards in penalties on the next 17 plays. What was the final yards the team loss?​

Answers

Answer:

240 yards lost, if I understand the question correctly.

Step-by-step explanation:

If I read this correctly the team lost 85 yards lost in 8 plays.  Then they tripled their loss on the next 17.  3 x 85 = 255 yards lost in the last 17 plays.

Total yards lost was (85 + 255) = 240 yards in 22 plays.

Three times got the prize money worth $126,000. the first friend would get three times the amount of the third friend's portion. the third friend would get twice the amount of the second friend's portion. determine the amount that each friend would receive.

Answers

128000.

Let the three frithe ends x, y, z x is the first friend y is secmy ond friend

z is third friend

X+y+z=128000  

x=4z    

z=3y    

x=4(3y)=12y   put values of x and z in the first equation we got

12y+y+3y=128000

16y=128000

= 128000 - = 8000 16

Put the y value in equation 3 wee got

z=3*8000=24000

Put the z value in equation 2 we got

x=4*24000=96000

8000+24000+96000=128000.

Learn more about equations at

https://brainly.com/question/2972832

#SPJ4

Faith purchased a new car in 1998 for $32,900. the value of the car has been depreciating exponentially at a constant rate. if the value of the car was $19,900 in the year 2003, then what would be the predicted value of the car in the year 2007, to the nearest dollar?

Answers

The predicted value of the car in the year 2007 is 13310

Given the purchased value of new car in 1998 is  $ 32,900

The value of car was $ 19,900 in the year 2003

We need to find the value of the car in the year 2007

Let the predicted value be x

The exponentially constant rate in 2003

32900*x^5 = $19900 (∵ x^5 = 5 years difference that is 1998 to 2003 )

Now In year 2007

2007 = 32900*x^9

x = 0.9043

The predicted value of the car is 0.09043

But we want the predicted value in 2007

Therefore ,

In 2007 ≈ x = 13310.02

Rounding off to the nearest dollar is $13310

Therefore the predicted value of the car in 2007 is $13310

Learn more predicted value here

https://brainly.com/question/24305645  

#SPJ4

help me please.bnt8349rf8

Answers

Answer: No solutions

Step-by-step explanation: there would be no solutions, because these equations have the same slope and different y-intercepts, so they would end up being parallel from each other, and would never intersect or be equivalent.

Answer:

No solution.

Explanation:

Given equations:

(1) y - 4x = -3

(2) y = 4x + 7

Substitute equation 2 into 1

y - 4x = -3

4x + 7 - 4x = -3

7 = -3

As L.H.S ≠ R.H.S, There are no solution.

The lines are parallel and do not intersect each other. Their slope is same.

20pts!! ANSWER ASAP!! FIRST ANSWER GETS BRAINLIEST
what is the next letter in the pattern below?

a, b, a, a, b, b, a, a, a, b, b, _,

A. c

B. b

C. d

D. a

Answers

Answer:

b

Step-by-step explanation:

I'm quite positive its b hopefully:)!

Answer:

B.b if you follow the formula and chances are very high for it to be b

I can not factor the denominators on any online calculator so I'm unsure of how to do this. Please help!

Answers

Answer: 17/y-5

Step-by-step explanation:

If my mother has 5 boys and my father has 4 girls, what is the probability of one being a boy?

Answers

Answer:

5/9

Step-by-step explanation:

4+5=9 and there are 5 boys

If there is a crossword that has three squares that need to be filled, how many possible three letter arrangements are there (assuming they do not have to make a real word, and no letter can be repeated)

Answers

There is a crossword that has three squares that need to be filled, how many possible three letter arrangements is 26!/23.

To find the number of possible three letter arrangements.

what is permutation and combination?

An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.

Given that:

26 possible letters

assuming you can repeat them

26*26*26

no listed

ok, lets assume that you can't repeat them

that is 26 times 25 times 24 (because you used 1 each time)

that is 26!/23 (because 26*25*24*23!=26!)

Hence, the number of possible three letter arrangements is 26!/23.

Learn more about permutation and combination here:

https://brainly.com/question/28090427

#SPJ1

Option is missing

A.26!

B.26!/3!

C.23!

D.26!/23

Robinsons tapestry all measure 1.5m x 1 m. express the tapestries night to width using round numbers and ratio notation

Answers

The ratio of the tapestries' height to breadth is 3:2 when using full integers.

Calculation

The ratio of two numbers is used to indicate proportions.

A/b, for example, is the ratio of a to b.

Given the subsequent sides, it is a tapestry.

Height = 1.5 m

Width = 1 m

So, height : width= 1.5:1

or, the fraction = 1.5/1=15/10= 3/2

or, it can be said 3:2

Since entire numbers are used, the ratio of the tapestries' height to breadth is 3:2.

Learn more about proportion here:

https://brainly.com/question/20444147

#SPJ4

Identify a ray in the following figure. WILL MAKE BRAINLIEST

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

, a ray is a line with a single endpoint (or point of origin) that extends infinitely in one direction.

Then the answer will the first

What is the equation of the parabola?

coordinate plane with a parabola facing down with vertex at 0 comma 5, the point 0 comma 3 and a horizontal line going through 0 comma 7

y = −one eighthx² + 5
y = one eighthx² + 5
y = one eighthx² − 5
y = −one eighthx² − 5

Answers

Option 2. The equation of the parabola is given as y = one eighthx² + 5

How to read the graph

We have the coordinate plane to be passing through the graph at point C on the y axis. This is used to represent the slope.

Hence the slope is 5

The equation of the line is given as  y=x²+C

Hence we can see that there is a rising slope. So the answer is Option 2.

Read more on graphs here:

https://brainly.com/question/26281600

#SPJ1

Given: ABCD is a rectangle.
Prove: ABCD has congruent diagonals.

Rectangle A B C D is shown.

Identify the steps that complete the proof.

♣ =

♦ =
♠ =

Answers

By SAS property, ABC ≅  DCB.

How to prove the deductions

In this question we have to proof ABCD has congruent diagonal. By SAS property and reflexive property it can be proved as follows:

Given:

ABCD is a rectangle.

Prove:

Diagonal AC ≅ Diagonal BD

From the question,

As we can see that, ABCD is a rectangle, it is also a parallelogram.

Thus, ABCD is a parallelogram, opposite sides of a parallelogram are congruent.

⇒ AB ≅  DC  

⇒ BC ≅ BC (Reflexive Property of Congruence)

Hence, ∠ABC and ∠DCB are right angles by the definition of rectangle.

∠ABC ≅ ∠DCB (all right angles are congruent)

Therefore, by SAS property,  ABC ≅  DCB.

⇒ segment AC ≅ segment BD

Learn more about rectangular congruency here:

https://brainly.com/question/7162498

#SPJ1

Answer:

♣ = parallelogram side theorem

♦ = SAS

♠ = CPCTC

(Correct On Edgen)

i need help with this question, thxs

Answers

The item which yield the greatest level of accuracy to the true weight of rock with the least error is bricks.

Rock

A rock refers to a solid substance formed from the fusion of organic minerals.

Types of rockSedimentary rock: They are firmed from sediments, that is, dead plant and animals, silt etc.

Metamorphic rock: They are firmed from previously existing rocks.

Igneous rock: They are formed from the pressure of molten magma.

Therefore, bricks is the item which yield the greatest level of accuracy to the true weight of rock with the least error.

Learn more about rock:

https://brainly.com/question/14021434

#SPJ1

Plss help...

Write down the rule in the form y=​

Answers

Answer:

yxthgggggyhfffghgggggvggvvggvv

2. What is the domain and range of the
graph shown?
-8-64
10-
8-
B
4+
2-
4+
6+
do do t
-10
2 4 6 8 10 12

Answers

Answer:

domain: x ≥ 0range: y ≥ 0

Step-by-step explanation:

The domain of a function is the set of x-values for which it is defined. The range of a function is the set of y-values the function produces.

Domain

The domain is the horizontal extent of the graph. This graph extends from x=0 toward x→∞. The domain is x ≥ 0. In interval notation, it is written [0, ∞).

Range

The range is the vertical extent of the graph. This graph extends from y=0 toward y→∞. The range is y ≥ 0. In interval notation, it is written [0, ∞).

If the bottom row as a result of sythetic division is 1 3 0 4 0, then the quotient is which of the following? Select one:

Answers

The quotient of the synthetic division is x^3 + 3x^2 + 4

How to determine the quotient?

The bottom row of synthetic division given as:

1 3 0 4 0

The last digit represents the remainder, while the other represents the quotient.

So, we have:

Quotient = 1 3 0 4

Introduce the variables

Quotient = 1x^3 + 3x^2 + 0x + 4

Evaluate

Quotient = x^3 + 3x^2 + 4

Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4

Read more about synthetic division at:

https://brainly.com/question/18788426

#SPJ1

Aster first walks 70m in the direction of 37degree north of east then walks 82m 20 degree south of east ,and finally walks 28m inthe direction of 30 degree west of north ,find displacement and angle from initial point ?

Answers

Answer:

Step-by-step explanation:

The displacement is 90.7 meter from initial point.

According to the statement

Aster first walks 70m in the direction of 37 degree north of east

Aster walks 82m 20 degree south of east

Aster finally walks 28m in the direction of 30 degree west of north

We use

β= 37 degree +(30 degree −20 degree) = 47 degree

We can use cosine law to solve for R.

R = ((A)^2 + (B)^2 + 2ABcosβ)^1/2

R = ((70)^2 + (28)^2 + 2*70*28cos47)^1/2

R = (4900 + 784 + 3920*0.682)^1/2

R = (4900 + 784 + 2673.5)^1/2

R = (8357.5)^1/2

R = 90.7 m

So, The displacement is 90.7 meter from initial point.

Learn more about DISPLACEMENT here https://brainly.com/question/2109763

#SPJ4

What is the scale factor of dilation
(The smaller triangle is the image the bigger one is the pre image)

Answers

from the larger triangle to the smaller one has a scale factor of 1/3.

i dont understand this at all

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What are we solving for?}[/tex]

[tex]\mathsf{56 = w(w + 10) }[/tex]

[tex]\huge\textbf{How are we going to solve for the}\\\\\huge\textbf{equation?}[/tex]

[tex]\mathsf{56 = w(w + 10)}[/tex]

[tex]\mathsf{w(w + 10) = 56}[/tex]

[tex]\mathsf{w(w) + w(10) = 56}[/tex]

[tex]\mathsf{w(w) + 10(w) = 56}[/tex]

[tex]\mathsf{w^2 + 10w = 56}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 56} to both sides:}[/tex]

[tex]\mathsf{w^2 + 10w - 56 = 56 - 56}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{w^2 + 10w - 56 = 0}[/tex]

[tex]\huge\textbf{Factor the left side of the equation:}[/tex]

[tex]\mathsf{(w - 4)(w + 14) = 0}[/tex]

[tex]\mathsf{(w - 4)\times(w + 14) = 0}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{w - 4 = 0\ or\ w + 14 = 0}[/tex]

[tex]\mathsf{w = 4\ or \ w = -14}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\mathsf w = 4\ or \ \mathsf w = -14}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

In a right triangle, the length of the hypotenuse is 12 and the measure of one of the angles is 36. What is the length of the other leg

Answers

Answer:

Either 9.71 (adjacent to 36°) or 7.05 (opposite 36°)

Step-by-step explanation:

The question doesn't specify which leg is under question.  Is it the adacent leg or the opposite leg?  I'll assume adjacent.

We can use the acronym

SOHCAHTOA which is a helpful mnemonic for remembering the definitions of the trigonometric functions.  For an angle other than the right angle, the following relationships are defined.

SOH:  S is sine = Opposite/Hypotenuse

CAH:  C is cosine = Adjacent/Hypotenuse

TOA:  T is tangent = Opposite/Adjacent

For a side adjacent (A) to the 36° angle, we can use

Cosine = Adjacent/Hypotenuse

Since we know the hypotenuse (12) we can find A:

Cosine(36) = A/12

A = Cosine(36)*12

A = (0.809)*12

Adjacent = 9.71

====================

If the opposite leg is calculated, we would use

Sine= Opposite/Hypotenuse

Sine(36) = Opposite/12

O = (0.5877)*12

Opposite = 7.053

Which of the following polynomials has a remainder of -7 when divided by x - 2?

Answers

ANSWER :          -7x + 14

EXPLANATION, to reverse division multiply

                                                                                         

Can you please solve this I need help

Answers

Answer:

7k - 7

Step-by-step explanation:

- k - (- 8k + 7) ← distribute parenthesis by - 1

= - k + 8k - 7 ← collect like terms

= 7k - 7

x+y = 8 and 2x-y=7
Anyone can help​

Answers

Step-by-step explanation:

x=8-y

2x-y=7

2(8-y)-y=7

16-2y-y=7

-3y=-9

y=3

x=8-y

x=8-3=5

Answer:

Hello

Step-by-step explanation:

Méthode par combinaisons linéaires:

[tex]\left\{ \begin{array}{ccc|c|c}x+y&=&8&1&-2\\2x-y&=&7&1&1\\\end {array} \right.\\\\\\\left\{ \begin{array}{ccc}3x&=&15\\-3y&=&-9\\\end {array} \right.\\\\\\\boxed{\left\{ \begin{array}{ccc}x&=&5\\y&=&3\\\end {array} \right. }\\[/tex]

Proof:

5+3=8 and 2*5-3=7

What is the solution to the equation? 4√x-4 =3

A. -8 B. 16 C. 85 D. no solution

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt[4]{x - 4} = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4 = (3) {}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4 = 81[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 81 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 85[/tex]

So, the correct choice is 85

Answer:

Step-by-step explanation:

4√(x-4) = 3

√(x-4) = 3/4

Square both sides:

x - 4  = 9/16

x = 4 + 9/16

x = 4 9/16.

4. The polynomial-4.9² +40t +20 represents the distance above the ground of an object thrown straight up from an initial height of 20 meters and with an initial speed of 40 meters per second. How long does it take the object to
reach it's maximum height?
20.000 s
8.636 s
4.082 s
101 6330

Answers

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The height (h) is represented by:

h(t) = -4.9t² + 40t + 20

The maximum height is at h'(t) = 0, hence:

h'(t) = -9,8t + 40

-9.8t + 40 = 0

t =  4.082

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

A building meets the ground at a right angle. the top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.

Answers

The bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the square of the legs, that is, the two other sides.

If in a right triangle, c is the hypotenuse, and a and b are the two legs, then by the Pythagoras Theorem, we can write:

a² + b² = c².

In the question, we are informed that a building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.

We are asked to draw a diagram that represents the situation and find the height of the bottom edge of the window from the ground.

We assume the building to be DB, meeting the ground BC at a right angle. At point C, the ladder meets the ground and meets the bottom edge of the window at point A.

The diagram is attached.

Now, we get a right triangle ABC, right-angled at B.

By Pythagoras' Theorem, we know that:

AB² + BC² = AC²,

or, AB² + 6² = 10²,

or, AB² = 10² - 6² sq. inches,

or, AB² = 100 - 36 sq. inches,

or, AB = √64 inches,

or, AB = 8 inches.

Thus, the bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.

Learn more about the Pythagoras Theorem at

https://brainly.com/question/17082309

#SPJ4

The provided question is incomplete. The complete question is:

"A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw a diagram that represents this situation. How far up from the ground is the bottom edge of the window?"

What is the expansion of the series

sum from n equals 1 to 4 of 4 to the n plus 1 power

4 + 8 + 12 + 16
4 + 16 + 64 + 256
16 + 64 + 256 + 1,024
16 + 20 + 24 + 28

Answers

The expansion of the series is 16 + 64 + 256 + 1024

How to expand the series?

The series is given as:

[tex]\sum\limits^4_{n=1} 4^{n+1}[/tex]

When n = 1, we have:

[tex]4^{n+1} = 4^{1+1} = 16[/tex]

[tex]4^{n+1} = 4^{2+1} = 64[/tex]

[tex]4^{n+1} = 4^{3+1} = 256[/tex]

[tex]4^{n+1} = 4^{4+1} = 1024[/tex]

Hence, the expansion of the series is 16 + 64 + 256 + 1024

Read more about sum notation at:

https://brainly.com/question/12017466

#SPJ1

Answer:

C). 16 + 64 + 256 + 1,024

Step-by-step explanation:

I took the test and got it right :)

Which is the graph of f(x) = }(4)*2

Answers

Answer: D

Step-by-step explanation:

Where the x-intercept is 0.25.

Other Questions
Which of the following is a rare primate residence pattern found only in orangutans and a few strepsirrhines Use the distributive property with factoring to find the equivalent expression. 20a + 28b = ( a + 7b) What is a compact healthcare document? Where should the client store the document during a hurricane/disaster? Discuss several disadvantages of linear programming; clearly explain the reasons for your choices Which of the following most accurately describes your company's production operations The first step in her downward course was in her ceasing to instruct me. She now commenced to practice her husband's precepts. She finally became even more violent in her opposition than her husband himself. She was not satisfied with simply doing as well as he had commanded; she seemed anxious to do better. Nothing seemed to make her more angry than to see me with a newspaper. She seemed to think that here lay the danger. I have had her rush at me with a face made all up of fury, and snatch from me a newspaper, in a manner that fully revealed her apprehension. She was an apt woman; and a little experience soon demonstrated, to her satisfaction, that education and slavery were incompatible with each otherBased on this passage, and what you know of Douglass's viewpoint, what message does Douglas want to convey? it says to write a small paragraph Which nonverbal behavior is most important in maintaining the quality of directness in speech delivery Do you prefer to spend time with people of a similar level of education to yourself? why? I need to see the steps to the problem for me to fully get it Which process is used to develop risk profiles for a firm's information system projects and assets? Please answer hurry! If a profit-maximizing firm in a competitive market discovers that, at its current level of production, price is greater than marginal cost, it should an ambulance with a siren emitting a whine at 1600Hz overtakes and passes a cyclist pedaling a bike at 2.44 m/s. After being passed the cyclist hears a frequency of 1590 Hz. How fast was ambulance moving Read the excerpt from Lizzie Bright and the Buckminster Boy.He spread his arms wide against the ocean sounds: the rush of the waves, the manic giggles of the gulls, the sighing of the sea breeze against the granite. He put his back to all of PhippsburgLord, to the entire continenttill with a shrug he sloughed off its heavy stillness and looked for a way to climb down to the water. . . . [F]inally he was down on the beach, breathing hard and deep, like something that was only just coming alive and drinking in the liquid air for the first delicious time.Which best states how Turners internal conflict is connected to the setting?Turner feels stifled in the town but free in the open air of the beach.Turner feels used to the town but unsure of himself on the beach.Turner feels there is a lot to do in the town but not much to do at the beach.Turner feels criticized by people in the town but criticized by God at the beach. For each pair of molecules given in the table below, identify the correct relationship. The innermost satellite of jupiter orbits the planet with a radius of 422 103 km and a period of 1.77 days. what is the mass of jupiter? (g = 6.67 10-11 n m2/kg2)? Which printmaking method operates with the understanding that oil and water do not mix? I need help with this question, not really understanding What discipline did descartes turn to in his discovery of a universal method for finding the truth Pressurized fluid injected into a well is used in a mining process called:___.a. fracking. b. injection molding. c. heap-leach extraction. d. placer mining.