determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)

Determine Whatever ABCD Is A Parallelogram By Using The Midpoint Formula. A(3,3) B (1.2) C(-3.1) D (-1.4)

Answers

Answer 1

Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:

[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.

Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:

[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].

Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].

Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.


Related Questions

Greg earns $2.50 per hour plus $13.50 for each pool he cleans. He worked 8 hours and cleaned 5 pools. How much did he earn?

Answers

Answer:

87.5

Step-by-step explanation:

2.5 multiple by 8(number of hours) gives 20 dollars

Then 13.5 multiple by 5(number of pools cleaned) gives 67.5

The sum of both is 87.5 dollars

The zoo expected to have 120,000 visitors last year. They
actually had 110,000 visitors. Determine the percent of
error. (Round to the nearest tenth of a percent, if necessary.)
A) 8.3%
B) 9.1%
C) 91.7%
D) 109.1%

Answers

I believe it’s D, because 120000divided by 110000=1.09
correct me if im wrong but it’s D because 120,000 divided by 110,000 -= 1.09 and that means 109.1%

5. Identify the type of function and the degree of the function: f(x)=6x +3x² -11
A. Quadratic, degree 3
B. Quadratic, degree 2
C. Cubic, degree 6
D. Quartic, degree 11

Answers

Answer:

B. Quadratic, degree 2

Step-by-step explanation:

ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.

Answer:

B

Step-by-step explanation:

the largest exponent is 2 i.e the degree is 2

A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?

Answers

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

I hope this helps you !!

Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O

Answers

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

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#SPJ7

A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?

Answers

Step-by-step explanation:

there is a right-angled triangle.

its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).

so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :

c² = a² + b²

line² = 396² + 332² = 156816 + 110224 = 267040

line = sqrt(267040) = 516.7591315... m

and we know 1 angle : the 90° angle between the legs.

the other angles we can now get by using the law of the sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the angles are opposite of the lines.

the line of sight is opposite of the 90° angle.

and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.

so, we have

516.7591315.../sin(90) = 396/sin(angle)

as sin(90) = 1

516.7591315... = 396/sin(angle)

sin(angle) = 396 / 516.7591315... = 0.76631447...

angle = 50.02407526...°

please help me if you know thank you :)))

Answers

Answer:

a) -inf b) DNE c) 2 d) 3 e) 1

Step-by-step explanation:

Im not 100% sure about c and d

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

We didn’t learn this so I need help! Please provide a good explanation so that I will be able to do problems like his on my own in the future.

Answers

Answer:

Ask your teacher to explain it. I think that the answer is one hundred and thirty-two dollars.

Step-by-step explanation:

The simple interest  follows this formula:

I = C x r% x t

– C would be the capital; the money that is provided (in this case, $1600)

– r would be the rate, which could be annual, monthly, etc. In this scenario, it's  not specified. Therefore, we assume that it's annual as the time is given in years. (It would be equal to 2,75, but don't forget about the percent symbol %, which is equal to 1/100)

– Finally, t stands for time.

Remember that both time and rate must be in the same measurement (annual, monthly, etc).

You multiple everything, and the result is $132

Help me help help helppppppppppp

Answers

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.


solve this to pretty pretty pls

Answers

Answer:

3) 161

Step-by-step explanation:

Indeed this is pretty easy :D

What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:

[tex]V=lhw[/tex]

(Formula to find the volume of a rectangular prism)

[tex]140=(4)(7)w\\ 140=28w\\ 5=w[/tex]

Now that we have the width, can find the area of the top part of the prism:

[tex](5)(4)=20[/tex]

The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:

[tex]A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5[/tex]

So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:

[tex]A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166[/tex]

Subtract these two results...:

[tex]166-5=161[/tex]

And we are done!

How many solutions does this system of equations have?


Exactly one

None

Infinitely many

Exactly two

Answers

Answer:

Infinitely many

Step-by-step explanation:

Wendy went to Starbucks and spent $15.75 on coffee. She had to pay 8% in sales tax. She then wanted to tip the baristas 20%. What was her total bill with tax and tip?

Answers

20.52 is the answer Sol ed

Who has the shorter insect?

Answers

Connie does because

state if the triangles in each pair are similar, if so state how you know they are similar.

Answers

Answer:

Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.

Side PQ in triangle PQR = 16

Side MN in triangle LMN = 8

Therefore,

PQ/MN = 16/8 = 2

Side PR in triangle PQR = 14

Side LN in triangle LMN = 7

Therefore,

PR/LN = 14/7 = 2

Therefore, triangle PQR is similar to

triangle LMN because

1) the length of PQ is proportional to the length of MN.

2) the length of PR is proportional to the length of LN

3) angle P = angle N

4) Therefore, QR is also proportional to ML

Therefore,

PQ/MN = PR/LN = QR/ML = 2

Step-by-step explanation:

The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.

What are similar triangles?

If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.

As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.

A.) In the first pair of triangles,

For the first pair of triangles to be similar,

[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]

The above ratio should be similar, but since we can see that the ratio,

[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]

[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]

As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.

B.) In the second pair of triangles,

For the second pair of triangles to be similar,

[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]

The above ratio should be similar, and as we can see that the ratio,

[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]

As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.

Learn more about Similar Triangles:

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what is the vertex of the porabola

Answers

Answer:

what is the vertex of the porabola by nagla 3by 7

Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)

Answers

The answer is B because if you check it again it will be the same <3

Answer:

Step-by-step explanation:

THE ANSWER IS A.  80 + 20 + (-17)

A number minus 33 is at least -5

Answers

Answer:

28

Step-by-step explanation:

Put in calculator 28-33= -5

ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:

In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.

Answers

Answer:x < 1,700. ×> 550

Step-by-step explanation:

Answer:AHHHH

Step-by-step explanation:

‼️‼️‼️PLS HELP I WILL MARK U BRAINLIEST‼️‼️‼️

Which translation can be used to prove that figures two and three are congruent?

A) (x, y) —> (x, y - 4)

B) (x, y) —> (x - 3, y + 1)

C) (x, y) —> (x + 2, y)

D) (x, y) —> (x + 1, y - 3)

Answers

Answer: a I think

Step-by-step explanation:

Can someone help me? ​

Answers

Answer:

I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5

-8=-8

Step-by-step explanation:

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

Answer:

  361/900

Step-by-step explanation:

  [tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]

Just gonna attach a picture of the problem so it’s easier

Answers

Answer:

You have to find the intercept hope this helps

Step-by-step explanation:

A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x + 1,000 represents this situation.

What is f(3), and what does it represent?


900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
900 square feet; , f, (3) represents the total number of square feet the construction crew has paved after 3 hours.

1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

Answers

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.

Answers

Answer:

  432 characters

Step-by-step explanation:

There are 36 inches in a yard, so there will be 36 times 12 characters:

  (36 in/yd)(12 char/in) = 432 char/yd

432 characters can be expected per yard of text.

I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?​

Answers

100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.

Does the point (4, 8) satisfy the equation y = 2x?

Answers

Answer:

Yes

Step-by-step explanation:

You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.

y=2(4)

y=8

Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.

calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?​

Answers

Answer:

Simple: 6000

Compound: 6050

Difference: 50

Step-by-step explanation:

Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get

A = 5000(1+10% * 2)

convert 10% to a decimal by dividing by 100 and plug that in

10% = 0.1

5000(1+0.1*2) = 5000(1.2) = A = 6000

Compound interest formula: A = P(1+r)^t

Plug our values in

5000(1+0.1)^2 = 6050

Difference = 6050 - 6000 = 50

Please find the range of these numbers

Answers

Answer:7

Step-by-step explanation:range is highest number subtracted by lowest

Answer:

17

Step-by-step explanation:

The formula for range is max-min.

The max is 91 and the min is 74

91-74=17

PLEASE NO LINKS AND NO NEGATIVITY

Answers

A=32x-8

A=L*W
L=8x-2
W=4
A=(8x-2)(4)
A=32x-8
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