1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
3 years ago
9

Consider a shape with vertices A(1, 4), B(3, 0), C(1, −4), and D(−1, 0) on the coordinate plane. 1) Which proves that the shape

given by the vertices is a rhombus? A) AB = BC = CD = DA = 10 B) AB = BC = CD = DA = 15 C) AB = BC = CD = DA = 2 5 D) AB = BC = CD = DA = 3 5
Mathematics
2 answers:
Papessa [141]3 years ago
6 0

Answer:

C) AB = BC = CD = DA = 2√5

Corrected question:

Consider a shape with vertices A(1, 4), B(3, 0), C(1, −4), and D(−1, 0) on the coordinate plane. 1) Which proves that the shape given by the vertices is a rhombus? A) AB = BC = CD = DA = 10 B) AB = BC = CD = DA = 15 C) AB = BC = CD = DA = 2√5 D) AB = BC = CD = DA = 3√5

Step-by-step explanation:

Given;

Vertices

A(1,4)

B(3,0)

C(1,-4)

D(-1,0)

We need to determine the Length of sides;

AB,BC,CD,DA

Length = √((∆x)^2 + (∆y)^2)

For

AB = √((3-1)^2 + (0-4)^2) = √(4+16) = √20 = 2√5

BC = √((1-3)^2 + (-4-0)^2) = √(4+16) = √20 = 2√5

CD = √((-1-1)^2 + (0--4)^2) = √(4+16) = √20 = 2√5

DA = √((1--1)^2 + (4-0)^2) = √(4+16) = √20 = 2√5

Which shows that;

AB=BC=CD=DA=2√5

For a rhombus, all sides are equal.

Therefore, AB=BC=CD=DA=2√5, proves that the shape given by the vertices is a rhombus.

Sunny_sXe [5.5K]3 years ago
3 0

Answer:

C) AB = BC = CD = DA = 2√5

Step-by-step explanation:

Given

A(1, 4)

B(3, 0)

C(1, −4)

D(−1, 0)

We get the distance between point A and point B

AB = √((3-1)²+(0-4)²) = √20 = 2√5

BC = √((1-3)²+(-4-0)²) = √20 = 2√5

CD = √((-1-1)²+(0-(-4))²) = √20 = 2√5

DA = √((1-(-1))²+(4-0)²) = √20 = 2√5

C) AB = BC = CD = DA = 2√5

You might be interested in
What conjecture can you make about the sum of the first 22 positive even numbers?
alekssr [168]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

7 0
3 years ago
Plz help answer fast
spayn [35]

Answer:

d because it does not looks somlar

5 0
2 years ago
Read 2 more answers
150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w
alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are <u>6</u>.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

<em>So, as given in question:</em>

<em>70% said that their kids are naughty.</em>

<em>26% said that their kids are nice.</em>

So, to get the percentage of parents who didn't answer we subtract.

<em>Thus, the percentage of  parents who didn't answer with either naughty and nice:</em>

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many  parents didn't answer we calculate the percentage of the total who didn't answer:

<em>Total parents surveyed = 150.</em>

<em>Parents who didn't answer =  4% of the total parents surveyed.</em>

Parents\ who\ didn't\ answer = 4\% of 150.

Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.

Parents\ who\ didn't\ answer = \frac{600}{100}.

Parents\ who\ didn't\ answer = 6.

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0
3 years ago
What is 24/5+167-29
77julia77 [94]
142.8
it fizzes up and shoots out
88
7 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Sedbober [7]

Brainly.com

What is your question?

Middle SchoolMathematics 5+3 pts

A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide. 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1 Create a histogram of this data.

Report25.03.2017

Answers

Portal0876 · Beginner

Know the answer? Add it here!

THE BRAINLIEST ANSWER!

taskmasters

Taskmasters Ambitious

Given:

12 visitors

Visitor # Frequency of going down a water slide

1 4

2 22

3 16

4 10

5 11

6 20

7 20

8 12

9 6

10 3

11 11

12 1

Pls. see attachment for the histogram.

4 0
3 years ago
Other questions:
  • How do write this number. 3154752635
    15·2 answers
  • Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
    9·1 answer
  • What is the diameter of the circle that has a circumference equal to its area?
    14·1 answer
  • Solve the following formula for m<br><br> C = amt<br><br> m =<br><br> Answer as expression
    6·1 answer
  • 5/8x + 4 = 3/8x + 12
    7·1 answer
  • The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where
    6·1 answer
  • Is f(x)=6x2-13 one to one function? Show with full process
    11·1 answer
  • What is the simplified form of the expression(x + 6)(7x − 1)?
    14·1 answer
  • 56 is 72.5% of what number?
    9·1 answer
  • ANSWER ASAP PLS!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!