What is the measure or a

What Is The Measure Or A

Answers

Answer 1

The measures of the angles of the parallelogram are

The measure of ∠A = 72°

The measure of ∠B = 108°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of ∠A = ( 5y - 3 )°

The measure of ∠C = ( 3y + 27 )°

For a parallelogram , opposite angles are congruent

So , measure of ∠A = measure of ∠C

Substituting the values in the equation , we get

( 5y - 3 )° =  ( 3y + 27 )°

On simplifying the equation , we get

( 5y - 3 ) =  ( 3y + 27 )

Subtracting 3y on both sides of the equation , we get

2y - 3 = 27

Adding 3 on both sides of the equation , we get

2y = 30

Divide by 2 on both sides of the equation , we get

y = 15

So , the measure of ∠A = ( 5y - 3 )°

The measure of ∠A = ( 5 ( 15 ) - 3 ) )°

The measure of ∠A = ( 75 - 3 )°

The measure of ∠A = 72°

Now , for a parallelogram , same-side interior angles (consecutive angles) are supplementary

So , the measure of ∠A + the measure of ∠B = 180°

Substituting the values in the equation , we get

72° + the measure of ∠B = 180°

Subtracting 72° on both sides of the equation , we get

The measure of ∠B = 108°

Hence , the measures of angles of the parallelogram are 72° and 108° respectively

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ1


Related Questions

The difference of 5 times a number and 3 times that same number is 16.

Which of the following is the equation of the statement above?

5x - 3x = 16
5x + 3x = 16
5x - 3 = 16
5 - 3x = 16

Answers

Answer:

5x - 3x = 16

Step-by-step explanation:

HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

the percentage is 62%

Step-by-step explanation:

Select all the as that inequalities that have the same solution as -4x<20

A. -x<5
B. 4x>-20
C. 4x<20
D. X<-5
E. X>5
F. X>-5

Answers

Answer:

A, B, F

Step-by-step explanation:

Divide both sides of -4x<20 by 4, and we have A

Multiply both sides of -4x<20 by -1, since -1 is a negative number, we reverse the inequality, and we have B

Multiply both sides of -x<5 (A) by -1, since -1 is a negative number, we reverse the inequality, and we have F

There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
teacher receive?

Answers

Answer: The teacher will receive 96 pencils

Step-by-step explanation:

1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)

Troy walked 85 meters. Rico walked 29 meters.
How much farther did Troy walk than Rico?

Answers

Answer:

he walked 56 more than rico

5/6 long division from math

Answers

Answer: 0.8333

Step-by-step explanation:

Dobra has 20 birr to Spenclon juice boxes for her son's preschool picnic. Each pack of juice boxes Corts 2.50- what is the maxiumum a numbers of packs she can buy

Answers

Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

Why is unitary method important?

The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.

each box costs  = 2.5

total money =20

maximum that can be bought = 20/2.5 =8

To learn more about unitary method visit:

brainly.com/question/22056199

#SPJ1

PLEASE HELP ME

6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.​

Answers

Answer:

P = 12.50 + 1.25t

Step-by-step explanation:

To find an equation to represent the price of a pizza, we need to first figure out the original price of a pizze.
Since the price is 16.25 dollars, and there are 3 toppings, each of which cost 1.25, the original price would be:

16.25 - 3(1.25) = 12.50

Thus, we can represent the cost of a pizze with toppings as:
P = 12.50 + 1.25t, where P = Price and t = amount of toppings.

Hope this helps!

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

third law of motion

Step-by-step explanation:

i learned this in the beginning of seventh grade !

Answer:

the 2nd law of motion is the answer. Because as the ball continues to move another force must be applied for the ball to stop in motion.

A rectangle has an area of 7. 5m2.

One of the sides is 0. 3m in length.

Work out the perimeter of the rectangle.

Answers

The perimeter of rectangle could be  50.6 if a rectangle has an area of 7. 5 and One of the sides is 0. 3m in length.

What is Area of rectangle ?

area of rectangle could be the product of its sides that is length and breadth.

Given the area of rectangle is 7.5

one of its side, length = 0.3

let other side be x .

area = length*breadth

7.5 = 0.3 * x

x = 25

hence , other side could be 25.

perimeter of rectangle = 2 (length+breadth)

= 2 * (25+0.3)

= 2 * (25.3)

= 50.6

Hence, The perimeter of rectangle is 50.6

To learn more about Area of rectangle from the given link.

https://brainly.com/question/20693059

#SPJ4

Andrea has 3 tiles.
One is a regular octagon, one is a regular pentagon and one is a regular pentagon.
Andrea thinks 3 tiles will fit together perfectly.
Show calculations to show that she is wrong.

Answers

Step-by-step explanation:

We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.

Lets test this formula.

Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.

Now lets put it to use.

Octagon has 8 sides - 2 = 6.

6 * 180 = 1080

Pentagon has 5 sides - 2 = 3

3 * 180 = 540

Another Pentagon 5 sides - 2 = 3

3 * 180 = 540

We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.

1080/8 sides = 135 degrees

540 / 5 sides = 108 degrees

540 / 5 sides = 108 degrees

We add these up,

135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.

Hope this helps

What is the mode? 22, 7, 22, 1, 7, 18, 18, 16, 6, 6, 7

Answers

Answer:

7

Step-by-step explanation:

Put them in L to G

1 6 6 7 7 7 16 18 18 22 22

and u see how many times 7 repeated den all numbers.

The mode is the [tex]MOST[/tex] [tex]FREQUENTLY[/tex]occurring value in a distribution, Hence, the mode of the data is [tex]7[/tex]

[tex]VALUES - - FREQUENCY\\22 - - - - - - - - - - - 2\\7 - - - - - - - - - - - - 3\\1 - - - - - - - - - - - - 1\\18 - - - - - - - - - - - 2\\16 - - - - - - - - - - - 1\\6 - - - - - - - - - - - - 2\\\\HENCE,[/tex]

The value 22 has a frequency of 2

The value 7 has a frequency of 3

The value 1 has a frequency of 1

18 has a frequency of 2

16 has a frequency of 1

6 has a frequency of 2

The [tex]MODE[/tex] of the distribution is [tex]7[/tex]

Learn more : https://brainly.com/question/15974141

Simplify.
8-3(4-2x)
i’ll mark brainliest :)

Answers

Answer:

-4 + 6x.

Step-by-step explanation:

8 - 3(4 - 2x)

= 8 - 12 + 6x

= -4 + 6x.

The correct answer is 6x - 4

Simplify :

8 - 3(4 - 2x)

8 - (12 - 6x)               (using BODMAS rule)

8 - 12 - (-6x)            

( 8 -12) + 6x        

-4 + 6x

= 6x - 4

answer to this please

Answers

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

Sue spends 3.5 hours on travelling and 2.5 hours stationary.

What is distance-time graph?

It is a graph which shows how far an object has travelled in a given time.

What is a stationary graph?

It is graph of function which represents there is no change in the function value or the function value is constant.

What is change in value?

"subtract old value from new value."

For given example,

Given distance-time graph represents a journey made by Sue.

Let 't' represents the travelling time and 's' represents the stationary time.

If we observe the graph,

from 2 pm to 3 pm Sue travelled 5 miles

⇒ t1 = 3 - 2

⇒ t1 = 1 hour

from 3.5 pm to 4 pm she travelled 10 miles

⇒ t2 = 4 - 3.5

⇒ t2 = 0.5 hour

from 5 pm to 6.5 pm she travelled 15 miles

⇒ t3 = 6.5 - 5

⇒ t3 = 1.5 hours

from 7.5 pm to 8 pm she travelled 5 miles

⇒ t4 = 8 - 7.5

⇒ t4 = 0.5 hour

So, the total travelling time would be,

⇒ t = t1 + t2 + t3 + t4

⇒ t = 1 + 0.5 + 1.5 + 0.5

t = 3.5 hours

Also, Sue spends stationary from 3 pm to 3.5 pm

⇒ s1 = 3.5 - 3

⇒ s1 = 0.5 hour

She spends stationary from 4 pm to 5  pm

⇒ s2 = 5 - 4

⇒ s2 = 1 hour

She spends stationary from 6.5 pm to 7.5 pm

⇒ s3 = 7.5 - 6.5

⇒ s3 = 1 hour

So, the total stationary time would be,

⇒ s = s1 + s2 + s3

⇒ s = 0.5 + 1 + 1

s = 2.5 hours

Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.

Learn more about change in value here:

https://brainly.com/question/11338063

#SPJ2

does anyone know the answer to this??

Answers

Answer:

10 4/15

Step-by-step explanation:

(4+5)+(2/3+3/5)

9+(2/3+3/5)

9+19/15

9+1 4/15

10+4/15

10 4/15

What is the domain of the function f/x )= √ 4 X²?

Answers

The domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

Now, According to the question:

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

Y = 4x²

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

Set-Builder Notation:  {x | x ∈ R}

The range is the set of all valid y values: [0, ∞)

Set-Builder Notation: {y | y ≥ 0}

Hence, the domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

Learn more about Domain and Range at:

https://brainly.com/question/28135761

#SPJ4

The complete question is this:

What is the domain of the function Y = 4x²

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points) Part B: How much time does Jackie spend running every day

Answers

Jackie spends 15 minutes running every day.

Part A: The relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day can be represented by the following pair of linear equations:

Equation 1: x + y = 55 (This equation represents the total amount of time Jackie spends running and dancing every day, which is 55 minutes)

Equation 2: y = x + 25 (This equation represents the relationship between the number of minutes Jackie runs and the number of minutes she dances, which is that she dances 25 minutes longer than she runs)

Part B: To find out how much time Jackie spends running every day, we can substitute the second equation into the first equation:

x + (x + 25) = 55

2x + 25 = 55

2x = 30

x = 15

Therefore, Jackie spends 15 minutes running every day.

To learn more about linear equations, visit:

brainly.com/question/11897796

#SPJ4

Write two expressions (with at least two terms each) that when added together have a sum of -4n 6.

Answers

On solving the provided question, we can say that the sum of the two expressions will be -4n + 6

what is expression ?

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression) A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)It is possible to compare expressions and phrases.

Expression, Number/Variable, and Mathematical Operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

let the two expression be

-4nand 6 and the sum will be -4n + 6

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ4

3 Points
SHORT ANSWER
Question 10
What is the area of the regular polygon shown below?
8 cm
Answer using complete sentences and include all relevant calculations.
H.

Answers

Answer:

[tex]12 \sqrt{6} [/tex]

Step-by-step explanation:

If each side of the regular hexagon measures 8cm then the area of the given hexagon is 96√3 square centimeters. 96√3 simplified is 12√6.

Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
<Z=<A
<B=<Y
<A=<X
<C=<Z​

Answers

We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.

We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.

Based on these transformations, the statement that is true is <C=<Z

In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.

This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.

The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.

Y=6 and x=-1 parallel or perpendicular line

Answers

By plot in graph, we get Y=6 and x=-1 is perpendicular lines.

What is parallel line?

Parallel lines are lines in a plane that are always the same distance apart and never intersect. They are coplanar lines that do not intersect each other, and they have the same slope.

What is perpendicular line?

Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, they are lines that are at a 90-degree angle to each other. The slope of perpendicular lines are opposite reciprocals of each other, meaning that if one line has a slope of m, the other line will have a slope of -1/m.

To know more about perpendicular line visit:

https://brainly.com/question/18271653

#SPJ1

Nora had $179 in her bank account an deposits $40 per month into her bank account. Liliana has $31 and deposits $77 per month into her account. Enter the number of months it will take for both Nora and Liliana to have the same amount of money in their accounts

Answers

Answer:

4 months

Step-by-step explanation:

y=179+40x.  Equation 1

y=31+77x.     Equation 2

179+40x=31+77x. Replace y from equation 1 and replace y of equation 2

148=37x

4=x

NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3 ( DISREGARD THE ALREADY MARKED ANSWER, I DID THAT ON ACCIDENT )

Answers

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

x=5

Free Ppoints And if you explain well a brainly =D

Answers

Answer:

b^4

Step-by-step explanation:

you would just subtract the variables things

b^10-b^6

subtract 10-6 and keep the b

b^4 iis the answer we are learnng these in school right now

Answer:

b^10/b^6= b^4

Step-by-step explanation:

when dividing numbers with exponents, you have to subtract the numerator's exponent by the denominator's exponent to simplify the equation.

Eleven is 20% of what number?

Answers

55

11 = 20% × y

11 = 20/100 × y

multiply both sides by 100 and divide both sides by 20

y = 11 x 100/20

y = 11 × 100 ÷ 20

y = 55

The answer here is 55

In a lab experiment, 760 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 15 hours. How long would it be, to the nearest tenth of an hour, until there are 1180 bacteria present?​

Answers

Answer:

9.5

Step-by-step explanation:

delta math

Find the polynomial of least degree to be added to 6x^2+8x^3+17x^2+12x+7 so that 3x^2+4x+1 is a factor. Class ten questions

Answers

Hope that really helps you

What is an equation of the line that passes through the points (-4, -1) and (6, -1)

Answers

Answer:

y = -1

Step-by-step explanation:

In a sense this is a trick question.  Notice that the y-coordinates of these two points are the same:  -1.  That tells us that the line is a horizontal one with equation y = -1.  Nothing further to do here.

10. A list of data has one number: 20. What is the
mean, median, mode, and range?

Answers

Answer:

Mean: 20

Median: 20

Mode: 20

Range: 20

Step-by-step explanation:

I need help with this math problem if u out a link I’ll report u but if u giv a good answer I’ll mark as brainliest

Answers

Answer:

1. MAD for Jada's data set = 1

Step-by-step explanation:

Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value

Jada's data set is given as: 4, 4, 4, 6, 6 ,6

Mean = 5

✔️Find the distance between each data value form the mean

4 = |4 - 5| = 1

4 = |4 - 5| = 1

4 = |4 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

✔️Find the sum of the distances of each data value from the mean

1 + 1 + 1 + 1 + 1 + 1 = 6

✔️Find the MAD:

MAD = 6/6

MAD = 1

Other Questions
How is Mount St. Helens and paricutin different Discuss how the four areas of cultural intelligence aid a leader in understanding culture as well as intercultural efforts. Determine how a leader must reframe their thinking when interacting with employees of different cultures. Examine the different methods a leader can utilize adaptive work to adjust his/her thinking. How can leaders demonstrate interdependence when while dealing with diverse cultures If the CPI was 95 in 1955 and is 475 today, then $100 today purchases the same amount of goods and services as a. $4.75 purchased in 1955. b. $95.00 purchased in 1955. c. $20.00 purchased in 1955. d. $500 purchased in 1955. Work out the equation of the line shown below.Give your answer in the form y = mx + c, where m and c areintegers or fractions in their simplest forms. explain the meaning of the political cartoonhelpp......pls A Windows 10 PC on the network is only able to connect to other resources, both public and private, by using IP addresses. What setting needs to be checked via the NIC (Network Interface Card) properties After reading the topic question and the evidence provided below, you will organize an argument. Remember:Write in complete sentencesWrite in the third person point of viewDo not use feelings or emotionsYou will not be writing a complete argumentative essay.Topic question: Should violent video games be banned?Instructions: You will organize an argument for banning violence from teens video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)Argument OrganizerClaim:In your own wordsReason 1:In your own wordsSupport for Reason 1:Quote from the evidence belowReason 2:In your own wordsSupport for Reason 2:Quote from the evidence belowCounterclaim:What is the opposing point of viewRebuttal Support:Quote from the evidence belowConclusion Clincher:Negative effects that will occur if your readers do not follow your claim____________________________________EVIDENCE 1Negative Effects of Violent Video GamesIn studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.Excerpt from Family First Magazine____________________________________EVIDENCE 2Negative Effects of Violent Video GamesFights among best friends and disagreements with peers are a natural part of a teens daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?Excerpt from Adolescent Health Sociology Journal____________________________________EVIDENCE 3Negative Effects of Violent Video GamesA study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.Study by Anderson, Gentile and Buckley (2007) QuestionTranslate the phrase into an algebraic expression, the ratio of 4p and 7y,Provide your answer below: 8. Your organization has 5,000 mailboxes in an Exchange Server 2010 deployment. Which of the following migration methods is appropriate given this scenario What did Rome use to improve trade, collect taxes, and pay soldiers?Group of answer choicesthe Pax Romanaa credit systemstandardized pay for the armya standard currency Find the perimeter of an equilateral triangle with a side length of 4x-1 Does anyone have any funny graduation speech jokes that are clean and appropriate? 20 points to a person who can answer immediately. What are the possible negative effects of being a citizen of digital society? Is this in pretrito and imperfecto? Recuerdo que en 2015 iban a Disney World. Estaba tan emocionada de ir con mi familia. Pero haba un problema. Me pic una abeja. Me doli el brazo y estaba hinchado. Tengo miedo de los insectos, incluso de las abejas y las mariposas. Me doli mucho el brazo por un tiempo. Recuerdo que compr un mapa con direcciones. Busqu el cuarto mdico. Pas por y mucha gente. Despus de caminar a la habitacin, habl con una enfermera amable. Le dije que me picaba una abeja. Me dio una bolsa de tirita y una compresa fra. Se senta aliviada. they can chose from blue,red or green shorts and white ,black or purple shirts and yellow or orange socks How many combinations are possible MUSICAL THEATER PLEASE HELP Geriatric teams are able to1 improve the quality of care2 operate more efficiently3 impact employee satisfaction4 all of the above What is the first month in which HBM Corporation's cumulative donation total exceeds the Gades Foundations' cumulative total Sea caves form from waves breaking on a cliff and eroding the rock. Is this a physical or chemical change? [No Links] A baby manatee weighs 58 kilograms. At birth the manatee weighed 30 kilograms. What is the percent increase in the manatee's weight rounded to the nearest whole number?