Rhombus ABCD has the following vertices:
A(-8,11)
B(-1, -13)
C(14,7)
D(7,31)
Is rhombus ABCD a square, and why?

Answers

Answer 1

Answer: No because BC is not perpendicular to AB.

Step-by-step explanation:

Answer 2

Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.

A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.

In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:

distance = [tex]\sqrt{[/tex] [tex]((-8 - (-1))^2[/tex] + [tex](11 - (-13))^2[/tex])

distance = [tex]\sqrt{[/tex] ([tex]7^2[/tex] + [tex]24^2[/tex])

distance = [tex]\sqrt{[/tex] (625) = 25

The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.

We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:

angle = arctan((13 - (-13))/(-8 - (-1)))

angle = arctan(26/7)

angle = 78.6°

The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.

Therefore, rhombus ABCD is a square.

To learn more about rhombus here:

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Related Questions

Half a number minus 8 is 14.

Answers

Answer:

[tex]\frac{n}{2} -8=14[/tex]

hope this helps

Answer:

1/2-8=14

Step-by-step explanation:

I got this because half is 1/2 minus is - and eight 8 is /equal to = 14

Arrange the expressions in ascending order of their values when x = -2.
1-x^2/1-2x
x^2-1/1-2x
2x^2+x/2
3x^2+1/2(x-1)

Answers

Step-by-step explanation:

Option (1)

[tex]\dfrac{1-x^2}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{1-(-2)^2}{1-2(-2)}\\\\=\dfrac{1-4}{1+4}\\\\=-0.6[/tex]

Option (2)

[tex]\dfrac{x^2-1}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{(-2)^2-1}{1-2(-2)}\\\\=\dfrac{4-1}{1+4}\\\\=0.6[/tex]

Option 3)

[tex]2x^2+\dfrac{x}{2}[/tex]

Put x=-2 such that,

[tex]y=2(-2)^2+\dfrac{(-2)}{2}\\\\=7[/tex]

Option (4)

[tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Put x =-2 such that,

[tex]y=3(-2)^2+\dfrac{1}{2((-2)-1)}\\\\=11.83[/tex]

Ascending values : -0.6,0.6,7,11.83

or

[tex]\dfrac{1-x^2}{1-2x}[/tex]   <  [tex]\dfrac{x^2-1}{1-2x}[/tex]   <   [tex]2x^2+\dfrac{x}{2}[/tex]   <   [tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Saturday nights

Answers

what city lol? sorry i just need to answer so i can ask question bc i’m lost lol

PLEASE HELP ME Jimmy's school is selling tickets to the annual talent show. On the day of ticket sales the school sold 4 adult tickets and 6 child Tickets for a total of $80 the school took and 24 on the second day by selling for adult tickets and seven child tickets find the price of an adult ticket and the price of a child ticket

Answers

Answer:

what is the OBJOBJ thing? wtheck

Step-by-step explanation:

a proportional relationship is represented on a graph with a line that has a slope of 40 what is the unit rate

Answers

Answer:40

Step-by-step explanation:

es is in order from greatest
2. Which numbers from the list are less than
0.827
- 1.0.15, -1.47. -13.-0.83
2
1
2.
2
F. -, --147, and -0.83
G. -13, -1.47. and -0.83
H. 015, -, and -0.83
0.15, and -1.47
le at the grocery store
Five Omnitie

Answers

Answer:

G

Step-by-step explanation:

-1 3/5 < -1.47 < -0.83 < -4/5 < 0.15

the question is the picture​

Answers

Answer:

1/5x

Step-by-step explanation:

A gradient is another word for slope.

every 4 minutes the volume increases by 20

so = rise/run = 4/20

now reduce

4/20

2/10

1/5


what is 1 and 1/4 divided by 1 and 2/5

Answers

Answer:

25/28

Step-by-step explanation:

what is the value of the expressions 3m+4n -18 when m=10 and n=0

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Substituting the values for the letters, we have

3(10) + 4(0) -18

30 + 0 - 18

30 - 18

= 12

WILL GIVE BRAINLIEST! Which is a Proportional Relationship?
Equation A- y= [tex]\frac{5}{x} y{2}[/tex]
Equation B- y= [tex]x^{3}[/tex]
Equation C- y= 2x- 5
Equation D- y= [tex]\frac{x}{7}[/tex]

Answers

Answer:

the answer is y= x/7

Answer:

its D

Step-by-step explanation:

u should be able to mark him brainliest now

Is this a linear pair? Does it share a common side?

Answers

Answer:

Buddy Actually even I am unablr to get it

Step-by-step explanation:

Sorry

Selena has a piece of ribbon that is 130 inches long. If she wants to make bracelets that are 9 inches long, how many inches of ribbon will be left over?

Answers

Answer:14 4/9

Step-by-step explanation:

130/9 = how many bracelets she can make
Turn it into a mix number
14 4/9, she can make 14 bracelets
There will be 4 inches left over

what i the answer and why this is for my little brother

Answers

Answer:

C, 1 1/14

Step-by-step explanation:

You would convert 1/2 to 7/14 and convert 4/7 to 8/14. You can now add them together, and once you do you get 15/14. You can now simplify, giving you your answer of 1 1/14.


Which of the following terms best describes three points that all lie in a
straight line?
A. Collinear
B. Congruent
C. Midpoint
D.equal

Answers

Answer:

A.

Explanation:

Collinear

The required term is "collinear" which best describes three points that all lie in a straight line. which is the correct answer would be an option (A).

What are the collinear points?

Collinear points are locations along a straight line that are represented by a collinear. They are always collinear since a straight line may be traced continuously between any two places. A collinear connection can exist between three or more points, but it is not required. The word required is "collinear," which best depicts three locations that are all in a straight line.

Therefore, the required term is "collinear" which best describes three points that all lie in a straight line.

Hence, the correct answer would be option (A).

Learn more about the collinear points here:

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(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?

Answers

Answer:

(-3,0)

Step-by-step explanation:

Seven out of ten people say they will vote for Mrs. Meekus . If 5,500 people vote,how many are likely to vote for Mrs.Meekus​

Answers

Answer:

3,850 people are likely to vote for Mrs. Meekus.

Step-by-step explanation:

Given that Mrs. Meekus has a voting intention of 7 out of 10, that is, 70%, in the event that 5,500 people are going to vote in the elections, the voting intention for this candidate would be obtained through the following calculation:

5,500 x 0.70 = X

3,850 = X

Thus, if said voting intention is reproduced, Mrs. Meekus would be voted by 3,850 voters.


If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

Answers

Answer:

congruent

Step-by-step explanation:

i guessed cause u did not put any options.

Answer:

The figure must be a rhombus because it has exactly 2 pairs of congruent angles.

Step-by-step explanation:

Find a degree 3 polynomial having zeros -1,2 and 7 and the coefficient of x^3 equal 1.

Answers

Answer:

[tex]x^{3}-8x^{2} +5x+14[/tex]

Step-by-step explanation:

n=3

f(x) = (x-(-1))(x-2)(x-7)

=(x+1)(x-2)= [tex](x^{2} -x-2)[/tex](x-7)=[tex]x^{3}-8x^{2}+5x+14[/tex]

An account is opened with an initial deposit of $700 and earns 3.3% interest compounded semi-annually. What will the account be worth in 3 years? Round your answer to the nearest cent.

Answers

Answer:

772.22

Step-by-step explanation:

A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.

If g(x) = -2x+4 and h(x)= -4x -5, find g(3)-h(5)

Answers

Answer:

3g−5h

Step-by-step explanation:

i just used a calculator lol but i wanted to help still

Answer:

3g-5h

Step-by-step explanation:

Alex placed a classified ad in the local newspaper to sell his used Nissan Sentra. He plans to write a 9 line ad. The newspaper charges $17.50 for the first three lines (total) and then $8.25 for each extra line. How much will Alex pay for the ad?

Answers

Answer:

$67 total

Step-by-step explanation:

9-3= 6

6(8.25)= 49.50

49.50+17.50= $67

Answer:

$67.00

Step-by-step explanation

17.50 (first 3 lines) + 8.25 (for each of the 6 lines left)

17.50 + (8.25*6) =

17.50 + 49.50 =

67

A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?

Answers

The answer is 15 oz
Hope I helped

The number 1,645.6 expressed in scientific notation equals

Answers

Answer:

[tex]1.6456 * 10^{3}[/tex]

Step-by-step explanation:

Step 1:  Convert to Scientific Notation

[tex]1645.6[/tex] is in standard notation

[tex]1.6456 * 10^{3}[/tex] is in scientific notation

Answer:  [tex]1.6456 * 10^{3}[/tex]

there are 60student in a class there fourths of the. are girls how many boys are there​

Answers

Decide 60 by 4 that’s what I think cause it says there fourth
I’m assuming you meant three fourths are girls
60 * 3/4 = 180/4 = 45 girls
60 - 45 = 15 boys



Travis made a business trip of

195.5 miles. He averaged

53 mph for the first part of the trip and

58 mph for the second part. If the trip took

3.5 hours, how long did he travel at each rate?

Answers

Answer:

At 53 mph, he traveled for 1.5 hours

At 58 mph, he traveled for 2 hours

Step-by-step explanation:

Mathematically;

distance = speed * time

let the time for the first part of the trip be x hours and the second part be y hours

Total hours is 3.5

So therefore;

x + y = 3.5 ••••••••(i)

Now let’s work with the rate

53 mph for x hours = 53 * x = 53x miles

58 mph for y hours = 58 * y = 58y miles

Adding both;

53x + 58y = 195.5 miles ••••••••(ii)

We have two equations to solve simultaneously

From i, x = 3.5 - y

insert into ii

53(3.5-y) + 58y = 195.5

185.5 - 53y + 58y = 195.5

5y = 195.5-185.5

5y = 10

y = 10/5

y = 2 hours

x = 3.5 - y

x = 3.5 - 2

x = 1.5 hours

Which table represents a linear function? Thanks! :)

Answers

Answer:

the first table

Step-by-step explanation:

Answer:

the first table

Step-by-step explanation:

this was on edjednuty

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.

Answers

Answer:

67

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

Write and solve an equation to find the value of x. PLS HELP!!

Answers

Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

find the missing side lengths. leave ur answers as radicals

Answers

Answer:

x is 2 and y is 2✓3

Step-by-step explanation:

this is because of the 30 60 90 theorem

so 1 is n

and x has to be 2n so it is 2

and y is n√3 so it's 2√3

Answer:

x = 2 , y = √3

Step-by-step explanation:

In right angled Δ, the leg against of 30° angle equals half of length of hypotenuse ⇒ x = 2 and y = √(4 - 1) = √3  

20. John Navarro is a salesperson in the appliance department at Morris

Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or

5.5 percent of his total sales—whichever is greater. What is his gross pay

for a week in which his total sales were $3,422?

Answers

Answer:

$373.21

Step-by-step explanation:

Step one:

weekly pay = $185

commission= 5.5% of sales= 0.055

let the sale be x

and his gross pay be represented by y

hence the expression for the total/gross pay is

y=0.055x+185

Step two:

Required is the gross pay y for x=3422

substituting we have

y=0.055*3422+185

y=188.21+185

y=373.21

Hence for a sale of $3,422 made his gross pay is $373.21

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