Given: quadrilateral MATH; M(-5,-2), A(-3,2),
T(3,2) and H(1,-2)
Prove: MATH is a parallelogram

State the formula you will be using.
Show all work.

Answers

Answer 1

Answer:

MATH is not a parallelogram

Step-by-step explanation:

(sqrt means squareroot)

To prove that quadrilateral MATH is a parallelogram, we can use the following formula:

A quadrilateral is a parallelogram if and only if both pairs of opposite sides are congruent.

In other words, if the lengths of the sides opposite each other in a quadrilateral are the same, then the quadrilateral is a parallelogram.

To prove that MATH is a parallelogram, we need to show that both pairs of opposite sides are congruent.

The first pair of opposite sides consists of segment MA and segment TH. To show that these sides are congruent, we can use the Distance Formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points that define the line segment.

Substituting the coordinates of points M and A, we get:

d = sqrt((-3 - (-5))^2 + (2 - (-2))^2)

= sqrt((-3 + 5)^2 + (2 + 2)^2)

= sqrt(8^2 + 4^2)

= sqrt(64 + 16)

= sqrt(80)

= 8.944

Substituting the coordinates of points T and H, we get:

d = sqrt((1 - 3)^2 + (-2 - 2)^2)

= sqrt((-2)^2 + (-4)^2)

= sqrt(4 + 16)

= sqrt(20)

= 4.472

Since 8.944 is not equal to 4.472, we cannot conclude that MA and TH are congruent. Therefore, MATH is not a parallelogram.


Related Questions

Can you help me with this

Answers

Answer:

Step-by-step explanation:

The answer I got was y= -3/2x+3

Activity 1: Keep Trying
Direction: Read, understand, analyze the given problem and solve it by applying the suggested
steps. Write your answer on the box provided.
1. Esther gave birth to a new-born baby weighing 5 kg at birth. Her friend told her that
the monthly average weight gained by a baby is 2 kg. If the rate of increase of the baby's
weight every month is constant, what is the weight of the baby after five months?
Perlom
Solution
Step 5
ernalia
Step 1
Step 2
Step 4
Step 3
nent anar
lia​

Answers

The weight of the baby after five months is 15 Kg.

Step 1:

Given:

New-born baby weight = 5kg

Monthly average weight gained = 2kg

To find:

The weight of the baby after 5 months.

Average Weight of Baby:

Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).

Step 2:

Represent the unknown.

Let x-the number of months .

Let y-weight of the baby after 5 months.

Step 3:

Formulate the equation.

The mathematical equation is:

5+2x = y

Step 4:

Solve the equation.

5+2x = y

5+2(5) = y

5+10 = y

y = 15

Thus, the baby weight is 15kg after 5 months.

Step 5:

Using the equation 5+2x=y.

5+2x = y

5+2(5) = 15

5+10 = 15

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Seth built a wooden step stool out of two rectangular prisms and two cubes. Before fastening the components together, he stained each component to give it its final color.


To completely stain the bottom rectangular prism, Seth had to cover

square inches of wood. For one of the cubes to be completely stained, he had to cover

square inches of wood. To completely stain the top rectangular prism, he had to cover

square inches of wood.


Once the stool was fastened together, he applied a coat of sealant to all exposed surfaces of the stool, including the bottom, to cover a total of

square inches.

Answers

To complete stain the bottom rectangular prism, he needs to cover 624 square inches.

What is surface area?

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

Given that:

Bottom rectangular prism:

Length = 22 in

Width = 8 in

Height = 6 in

The surface area of the rectangular prism is:

SA = 2( lh + wh + lw)

SA = 2((22)(6) + (8)(6) + (22)(6))

SA= 624 square inches.

To complete stain the bottom rectangular prism, he needs to cover 624 square inches.

Square:

Side = 4 in

The surface area of the cube is:

[tex]SA = 6a^2[/tex]

[tex]SA = 6 (4)^2\\\\SA= 96[/tex]square inches.

To completely stain two squares, he needs to cover 96 * 2 = 196 square inches.

Top rectangular prism:

Length = 18 in

Width = 5 in

Height = 2 in

The surface area of the rectangular prism is:

SA = 2( lh + wh + lw)

SA = 2((18)(2) + (5)(2) + (18)(5))

SA = 136 square inches

Hence to completely stain top rectangular prism, he needs to cover 136 square inches.

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The newest streaming service costs $9.24 per month with
tax. If tax is 5%, how much is the streaming service before
tax and how much does a year of the service cost?

Answers

Tax = 5%
Total = $9.24

Tax = 9.24 x 0.05 = 0.462

Answers:
Total before tax = 9.24 - 0.462 = $8.778
Year of service = 8.778 x 12 = $105.336

Have a good day ^^

Enrique earns 101010 points for each question that he answers correctly on a geography test. Write an equation for the number of points, yyy, Enrique scores on the test when he answers xxx questions correctly.
On his first geography test, Enrique answered 333 questions correctly. On his second test, Enrique answered 777 questions correctly.
Place points on the graph to show Enrique's first and second geography test.

Answers

An equation for the number of points y, and the correct answers x  is y = 10x.

Define the term equation?

One mathematical expression makes up a term. It could be a single variable (a letter), a single number (negatively or positively), or a number of variables multiplied but just never added as well as subtracted.

For the stated question-

Since Enrique receives 10 points for every question on the a geography test that is answered properly,Again for number of points, "y," Enrique receives on the test if he successfully answers "x" questions, we must formulate an equation.

Consequently, the total points earned equal the total points earned for each question. number of questions with accurate responses.

Consequently, points earned = 10x

y = 10x.

First geography test: x = 3

y = 10*3 = 30

Second geography test: x = 7

y = 10*7 = 70

Thus, the graph for the enrique's first and second geography test is plotted.

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The correct question is-

Enrique earns 10 points for each question that he answers correctly on a geography test. Write an equation for the number of points, y Enrique scores on the test when he answers x questions correctly.

On his first geography test, Enrique answered 3 questions correctly. On his second test, Enrique answered 7 questions correctly.

Place points on the graph to show Enrique's first and second geography test.

A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

Answers

Answer: C (The Last One)

Step-by-step explanation:

The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.

Hope This Helps!

this diagram shows 3cm x 5 cm x 4 cm cubiod
find ac give your answer in 2 decimal place

Answers

The length AC will be 5.83 and the angle ACD will be 34.45°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

The length AC will be calculated as,

AC² = 5² + 3²

AC = √ ( 25 + 9 )

AC = √34

AC = 5.83

The angle ACD will be,

tanθ = P / B

θ = tan⁻¹ = ( 4 / 5.83)

θ = 34.45°

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Which expression is equivalent to -9 - \left(-4\dfrac13\right)

Answers

Answer:

B) -9 + 4 2/3

Explanation:

The answer is B because -9 - (-4 1/3) is -4 2/3 which is equal to -14/3, so that means B also has the same sum.

I hope this helps you! :)

6000 plus 3000 plus 100 plus 40 plus 8

Answers

Answer:

9148

Step-by-step explanation:

6000 + 3000 would equal 9000.

100 + 40 + 8 would be 148

9000 + 148 = 9148

Answer:

9148

Step-by-step explanation:

Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?


A student's expected quiz score if they spent no time on their homework.

A student's expected quiz score if they spent 65 hours on their homework.

The change in expected quiz score for every additional one hour students spend on their homework.

How many hours a student spends studying all year

Answers

The number 59 in the equation represents the following:

"A student's expected quiz score if they spent no time on their homework"

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

y=59+6x

When x=0, y=59+6*0 = 59+0 = 59

This means,  y=59 is the  student's expected quiz score if they spent no time on their homework.

The number 59 in the equation represents the following:

"A student's expected quiz score if they spent no time on their homework"

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A sequence is represented by the explicit formula

Answers

The value of a₂₆ in the  arithmetic sequence aₙ=  14 + 9n is 248.

The correct option is D.

What is an arithmetic sequence?

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

An arithmetic sequence,

aₙ=  14 + 9n

We have to find the value of a₂₆.

That means, n = 26.

Substitute the value of n = 26 to the sequence,

a₂₆ =  14 + 9(26)

a₂₆ =  14 + 234

a₂₆ =  248

Therefore, the value of a₂₆ is 248.

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ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer: x = 34

Step-by-step explanation: ok so when you put 2 triangles together and make a rectangle the length and width will still be the same! so the answer is 34ft

Can someone help me please? Picture attached

Answers

a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.

what is triangle ?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given

by pythagoras theorem

c2 = a2 + b2

18*18 = a2 + 12*12

324  - 144 = a2

a2 = 180

a = [tex]6\sqrt{5}[/tex]

a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.

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What is the remainder when f(x) = x^4 - 8x^2 + 10x + 22 is divided
B.2 by x + 3?
A. -107
B. -17
C. 61
D. 1

Answers

Answer:

Step-by-step explanation:

D. 1

Answer:

D) 1

Step-by-step explanation:

-3 | 1  0  -8  10  22

____-3_9_-3_-21_

     1  -3  1   7 |  1

Hence, [tex]\frac{x^4-8x^2+10x+22}{x+3}= x^3-3x^2+x+7\,\,\,R1[/tex]

A scientist wants to know how many catfish are in
Clear Lake. She and her team capture 48 catfish,
which they tag and release. The next week, they
capture 60 catfish, 3 of which have been tagged.
About how many catfish are in Clear Lake?

Answers

Answer:

105 catfish

Step-by-step explanation:

48 - 3 = 45

45 + 60 = 105

Answer pleaseee...!!!

Answers

Answer: 23

Step-by-step explanation:

A convenience store sell pre-paid mobile phones. It purchases them for $12 each and uses a mark up rate of 250%.


a. The markup rate is the constant of proportionality in the equation y= kx. Write an equation that can be used to find the amount of markup on the cost x of a phone


b. Use the equation to calculate the markup amount. What is the retail price of a phone?


c. Next week the store is going to reduce the price to $31. 50. Calculate what percent the sale price is of the retail price.


d. Based on your answer to part C, what is an equation in the form y = kx that relates the sale price to the retail price x?

Answers

Answer:

  a.  y = 2.5x

  b.  markup: $30; retail price: $42

  c.  75%

  d.  y = 0.75x

Step-by-step explanation:

You want equations relating markup, retail price, and sale price on a phone that costs $12, is marked up 250%, then put on sale for $31.50.

a. Markup equation

The problem statement tells you the markup is 250% of the cost. You could write the equation as ...

  y = (250%)x

Or you can simplify it to a decimal number:

  y = 2.5x

b. Markup amount

The markup amount is ...

  y = 2.5(12) = 30

The markup amount is $30.

That is added to the cost to get the retail price:

  retail = $12 +30 = $42

The retail price of the phone is $42.

c. Sale price

The sale price as a percent of the retail price is ...

  percent = (sale price)/(retail price) × 100%

  percent = 31.50/42 × 100% = 75%

The sale price is 75% of the retail price.

d. Sale price equation

As in part (a), we could write this as ...

  y = (75%)x

or, in decimal, as ...

  y = 0.75x

<95141404393>

The graph of a quadratic function passes through the points (0,-4) and (-2,0). What is the zero of the function?
Please no links and if you can, show your work.

Answers

Answer:

2 I believe 2? hopefully I'm right

HELP ME PWEASEEEEEEEE!!!!!!!!!!!!!!!!1111111111111111111111111111111

Answers

Answer:

3x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The slope is 3

Step-by-step explanation:

slope=(rise)/(Run)

rise=3

run=1

so: (3)/(1)= 3

Solve |3x - 5] = 2 - 1/2x​

Answers

Answer:

x=2

Step-by-step explanation:

First multiply both sides by 2:

6x-10=4-x

Move the variable to the left-hand side and change its sign:

6x-10+x=4

Move the constant to the right-hand side and change its sign:

6x+x=4+10

Collect like terms:

7x=14

Divide both sides of the equation by 7:

x=2

Here is a piece of cake each piece of cake has the same number of candles how old is rongopai

Answers

Rongopai's age is equal to the total number of candles on the cake, thus I need to determine what that is.

How to estimate Rongopai's age?

What I need to figure out because I am aware that Rongopai's age is equal to the total number of candles on the cake.

The number of pieces the cake was sliced into must first be determined. A quarter has a specific appearance to me. This is how it would seem (the teacher traces a quarter shape on the circle). There must have been more than four pieces since this one seems a little smaller.

Each cut's location may be identified using my finger. Given that all the pieces must be the same size, I'm predicting the locations of each line using the first piece as a reference.

Here would be the approximate location of the first line, followed by here and here (the teacher draws a line with her finger) (tracing two more lines). the third line. In my mind, the lines and parts are somewhat "visible." Four "invisible" pieces plus the one drawn in are present when I count backward.

The complete question is:

A teacher wants a student to see how visualising the size of a share (in this case, a piece of cake) can be used to work out how many shares are needed to make a whole:

“Here is a piece of Rongopai’s birthday cake. Each piece of cake has the same number of candles. How old is Rongopai?”

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Age of Rongopai is 20 years.

What means one fifth of a circle?

One fifth of a circle means if a circle can be divided into five equal parts, then one fifth is one of them.

How old is Rongopai?

As per the figure given, there is shown a 1 fifth of a circular birthday cake.

As all the piece of cake is equal in size so the total number of cake piece is five.

the number of candles in each piece is four.

the total number of candles present in the whole cake is = 5 × 4

the total number of candles = 20

Therefore, Rongopai is 20 years old.

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Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

Answers

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Sebastian has a bag that contains orange chews, apple chews, and lime chews. He
performs an experiment. Sebastian randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Sebastian performs the experiment 26
times. The results are shown below:
A orange chew was selected 19 times.
A apple chew was selected 5 times.
A lime chew was selected 2 times.
If the experiment is repeated 1300 more times, about how many times would you
expect Sebastian to remove a orange chew from the bag? Round your answer to the
nearest whole number.

Answers

Answer:

I think it would be 950

Step-by-step explanation:

For the first example when he did 26 experiments and 19 orange chew was selected, if you subtract 7 from 26 you get 19.

How many 26's are in 1,300? 50

50 × 7 = 350

1,300 - 350 = 950

Maybe that's the answer

What is the inverse of the function y-2 = 7x?

Answers

Answer:

I think it's y=(1/7)(x+2)

How do you write 0.0000000000030785 in scientific notation?

Answers

Answer:

[tex]3.0785 \times {10}^{ - 12} [/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and

What’s 4/7x13/9 ?




Please help

Answers

0.82539682539 is the answer

Answer:

if it is a fraction then it is [tex]\frac{52}{63\\}[/tex]

Step-by-step explanation:

NEED HELP ASAP I WILL GIVE U BRAINLY
(08.03 MC ) The dot plot below shows the hourly rate of some babysitters in a city: Babysitting Rates $1.00 $2.00 $6.00 $7.00 $3.00 $4.00 $5.00 Dollars per hour Which statement best describes the shape of the data? (5 points)

O It is symmetric and has a peak at $7.00.

O It is a cluster from $1.00 to $7.00 and has gaps.

O It is a cluster from $1.00 to $7.00 and has no gaps.

O It is not symmetric and has a peak at $4.00.​

Answers

A because it goes from 1,2,3,4,5,6,7 and it peaked at 7

Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X?

Answers

Answer:

3 ≤ X ≤ 8

Step-by-step explanation:

A die has 6 faces numbered from 1 to 6.

If two dice are rolled at the same time and the first die already shows a 2. Then the second die will show any number between 1 and 6 inclusive.

X which is the sum of the results shown by the dice will always be greater than or equal to 3 but less than or equal to 8. This is because the first die already shows a 2 and the second die will always be a number between 1 and 6 inclusive. i.e

X = result from die 1 + result from die 2

X = 2 + [1, 6]

X = [3, 8]

In other words, the minimum value of X is 3 and the maximum value of X is 8.

Copy each segment.Then construct its perpendicular bisector



(help plz i gift a crown​

Answers

Answer:no explanation ?

Step-by-step explanation:

What 2D shape can be created by slicing a cone vertically?
A circle
B) rectangle
C triangle
D) square

Answers

Answer:

C) triangle

Step-by-step explanation:

Honestly I have no clue how to explain slicing shapes. but basically if a cone was a 2-D figure what shape would it be? a triangle

Answer:

c) triangle

Step-by-step explanation:

slicing the cone horizontally will make a circle, and a vertical slice presents a triangle

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If y=4x - 1, find the value of ywhen x = -2 (please help) Suppose you have a set of spheres of various sizes. The formula below shows a possible relationship between the surface area (S) and volume for the spheres (V). A "Pick 2" lottery game involves drawing 2 numbered balls from separate bins each containing balls labeled from 0 to 9. So there are 100 possible selections in total: 00, 01, 02, ..., 98, 99. Players can choose to play a "straight" bet, where the player wins if they choose both digits in the correct order. Since there are 100 possible selections, the probability a player wins a straight bet is 1/100. The lottery pays $50 on a successful $1 straight bet, so a player's net gain if they win this bet is $49. Let X represent a player's net gain on a $1 straight bet. Calculate the expected net gain E(X). Hint: The expected net gain can be negative. E(X) = dollars Based on your understanding of the gains from trade (discussed in Chapters 3 and 9), which of the following statements accurately characterize how well the payoffs indicated for the four possible outcomes actually reflect a nation's welfare? Check all that apply:The payoffs in the upper right and lower left corners of the matrix reflect a nation's welfare because the nation with lower tariffs is better off, since that nation is more open to trade.The payoffs in the upper right and lower left corners of the matrix do not reflect a nation's welfare because tariffs hurt overall total surplus, so both countries' welfare should decline regardless of who charges the high and low tariffs.The payoffs in the upper left and lower right corners of the matrix reflect a nation's welfare because they show that trade is beneficial and tariffs are a barrier to trade. Which therapeutic communication technique would be useful for a client with major depressive disorder Where most ATP is created in mitochondria? Order of operation help help help I have 10 min on the timer left!!! NO LINKS!!!!!! ILL GIVE BRAINLIES IF CORRECT the hcf of 13 and 13 Discuss the relationship of carbon dioxide and oxygen. Explain how it remains Balanced. What has man done to upset this natural relationship? Tony's coffeehouse is located on the corner of 3rd avenue and henderson street, right next to alex's auto repair shop. Look for the large red hat over the door and the "Tony's" sign in front of the window. Which organizational pattern is used in the example? A nurse is preparing to administer penicillin G benzathine 1.2 million units IM now. The amount available is penicillin G benzathine 600,000 units/mL. How many mL should the nurse administer The equation for the circle below is x2 + y2 = 16. What is the length of thecircle's radius? What did Nya's village build after completing the well? O A SchoolO A Health ClinicO A MarketO A Church How do you find the y-intercept without a calculator? 2x +3=5 so what is the value of x Nico is trying to divide a 6 by 4 inches of rectangular cartoon sheet into pieces of squares. Given that he used up all of the materials and that all squares are of similar dimensions, what is the minimum number of squares he can produce? A 0.95 M solution of 10.0 mL Al(OH)3 is neutralized using a 2 M solution of H2SO4. How much H2SO4 was needed Which inequality is shown on the graph? Why did Muslim paintings rarely show people?