Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?

Answers

Answer 1

Answer:

The quadrilateral ABCD is a parallelogram

Step-by-step explanation:

The vertices of the quadrilateral ABCD are;

A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)

The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0

The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1

The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²)  = √2

The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0

The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)

The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1

The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²)  = √2

Therefore;

The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]

Given that the slope of a line gives the inclination of the line on a graph, we have;

The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]

Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.

Guadrilateral Whose Vertices Are A(-2-2),B(5-2),C(4-3) And D(-3,-3)what Kind Of A Guadrilatetal Is ABCD?

Related Questions

25 points

Solve for x, y, and z.

Answers

Answer:

Step-by-step explanation:

x=57

y=57

z=66

What is the monthly payment for a $11,000 loan for 7 years with an annual interest rate of 2.5%?

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Answer:

i d k

Step-by-step explanation:

look it up

Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days ​

Answers

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. (ill give brainiest and extra 50 points)

Answers

Answer:

Andre     Noah     Weeks

 20           10             1

 25         17.50         2

 30           25            3

Step-by-step explanation:

A fence is being built around a rectangular garden that is 8 1/2 feet by 6 1/3 feet. Fencing comes in panels. Each panel is 2/3 of a foot wide. how many panels are needed?

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

The value of a boat is $23,400. It loses 10% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.

Answers

Answer:

Value of boat = $23,400

Loss of value by boat per year = 8%

To find: -  Monthly percent decrease in value of boat.  

Solution: - Decrease of value per year = 8% of $23,400 = $1,872. Monthly decrease in value = $1,872/12 = $156. Monthly percentage decrease = ($156/$23,400) * 100 = 0.6667 or 0.67 (rounded to nearest hundredth)

Step-by-step explanation:

What is the slope and y-intercept from the table?





a
m = 1/4, b = 0
b
m = -1/4, b = 5
c
m = -4, b = 5
d
m = 4, b = 0

Answers

Add, then subtract and that’s your answer!

please and thank you ​

Answers

Answer: 6 units

Step-by-step explanation:

Since this is just a reflection, the length of A'C' shouldn't be different from the length of AC.

The sum of two numbers is __________ greater than either number.
a) Always
b) Sometimes
c) Never
d) Not enough information

Answers

A) Always because you’re adding them up

The correct answer is b) Sometimes.

Given that a statement,

"The sum of two numbers is __________ greater than either number."

We need to fill the blank from the options provided.

The sum of two numbers can be greater than either number depending on the specific values of the numbers.

Let's consider some examples:

Example 1: If we have two positive numbers, such as 3 and 4, their sum (3 + 4 = 7) is greater than either number individually.

Example 2: If we have one positive number and one negative number, such as 5 and -8, their sum (5 + (-8) = -3) is greater than -8 but less than 5.

Example 3: However, if we have two negative numbers, such as -2 and -4, their sum (-2 + (-4) = -6) is not greater than either number individually.

Therefore, since the statement holds true in some cases but not in others, the correct answer is sometimes (b).

Learn more about Sum click;

https://brainly.com/question/31538098

#SPJ6

A value is decreased by 85% for a new value of 17.1. Find the original value.

Answers

Answer:

114

Step-by-step explanation:

let 'n' = original value

(17.1 - n) / n = -85/100

cross-multiply:

1710 - 100n = -85n

1710 = 15n

n = 1710/15

n = 114

divide: 3.78 by 4.6 with explaination​

Answers

Answer:

189/230

Step-by-step explanation:

Convert these to fractions first, because then it would be easier to calculate.

3 39/50 divided by 4 3/5

Turn the fractions into improper fractions:

189/50 divided by 23/5 = 189/50 times the reciprocal of 23/5

So we have:

189/50 x 5/23 = 945/1150 = 189/230

Use the distributive property to write an expression equivalent to 3x+21. *

Answers

Answer:

3(x+7)

Step-by-step explanation:

Sandeep used 8 litres of fuel to travel 76 miles.

He wants to know how many miles he will be able to travel with 22 litres of fuel.

He assumes that the distance travelled and the amount of fuel used are directly proportional.

How many miles can he drive with 22 litres of fuel?

Answers

Answer:

I got, when calculated, 209 miles. (It may be wrong)

Step-by-step explanation:

First, I calculated how many miles can Sandeep travel with 1L, therefore I divided 76 miles by 8L and got 9.5 miles on 1L.

Then I multiplied 9.2 miles by 22L and got 209 miles.

This may be wrong but if anyone else is able to work it out much appreciated if it's correct.. Your most welcome!

Help me pls pls pls pls

Answers

Answer:

sorry but all i got from this is the first one should be -3

Step-by-step explanation:

sorry that i couldn't answer all :)

Which of these represents slope-intercept form of a linear equation?Immersive Reader
(1 Point)

y - y1 = m(x-x1)

Ax + By = C

y=kx

y = mx + b

Answers

The correct answer is A
Slope-intercept of an equation of is y=mx+b

Find the slope (-2,1)and (1,2.5)

Answers

Answer:

.5

Step-by-step explanation:

slope = rise/run= 1.5/ 3= 0.5

hope that helps if it does please mark as brainliest.

can someone help please ?

Answers

Answer:

5 is the hight

Step-by-step explanation:

the height is 5!!!!!

Find the side of an equilateral triangle if its area is 25√3 cm2

Answers

Answer:

10

Step-by-step explanation:

area=√3/4×a^2

100√3 = √3×a^2

a^2 = 100

a=10

side = 10

Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.​

Answers

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

Someone plz help me I will give brainliest!!

Answers

It’s pretty easy it’s 35

Answer:

it's 35

Step-by-step explanation:

3+5 = 8

35 is odd

and 3-5 = 2

HELP!! Find the value of x in the isosceles triangle shown below.

Answers

i think the answer is 10

What is the height of a triangle that has a base of 8 in. and an area of [tex]28in^{2}[/tex]

Answers

Answer:

height is 7 inches

Step-by-step explanation:

a=1/2bh

28=1/2(8)h

28=4h

/4

7=h

check your work

8x7= 56

56/2=28

A color printer prints 13 pages in 8 minutes How many pages does it print per minute

Answers

Answer: 13/8 or 1.625

Step-by-step explanation:

Maria's job pays her $1500 a month what is her gross weekly wage

Answers

Answer:

annual: $18000

weekly: $346.15

Find all the zeros and multiplicities. Provide explanation. r(x)=x^2(x+5)(x-7)^3

Answers

Answer:

what do you mean by find all the zeros and multiplicities, you have me confused on that part, if you explain that part a little more then I might be able to help you out a little bit M8

Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *

(0, 3)

(0, -3)

(4, -3)

(-4, 3)

Answers

It would be (0,3). You can see that the A is 2 units from the line. If you do it from the other side, then it would line up to (0,3)

if alpha and beta are the zeros of the quadratic polynomial f(x)=2x^2+11x+25. Find alpha^4+beta^4 and 1/alpha+1/beta-2alpha*beta​

Answers

Step-by-step explanation:

[tex]2 {x}^{2} + 11x + 5 \\ {x}^{2} + 5.5x + 12.5 \\ = -2.75-2.222i \\ \: \: \: - 2.75 + 2.22i \\ \alpha = - 2.75 - 2.22i \\ \beta = - 2.75 + 2.22i[/tex]

[tex] { \alpha }^{4} + { \beta }^{4} = -284.2912344[/tex]

[tex]\frac{1}{ \beta } + \frac{1}{ \alpha } + 2 \alpha \beta = 24.9818[/tex]

5)
D
-10 + 7x
70°
E
12x + 10
А с
A) 12
C) 8
B) 10
D) 2

Answers

Answer:

B) 10

Step-by-step explanation:

Exterior angle property: Exterior angle equals the sum of opposite interior angles.

12x + 10 = -10 + 7x +  70 {Subtract 10 from both sides}

12x        = -10 + 7x + 70 - 10        

       12x = -10 + 70 - 10 + 7x  {Combine like terms}

      12x  = 50 + 7x          {Subtract 7x from both sides}

12x - 7x = 50

       5x = 50 {Divide both sides by 5}

         x = 50/5

x = 10

Daniel jarred 12 liters of jam after 4 days. How much jam did Daniel jar if he spent 7 days
making jam? Assume the relationship is directly proportional.
liters

Answers

Step-by-step explanation:

He jarred 21 in 7 days because there is 3 liters per day

Rich weighed 320 pounds on June 1st. He lost 3 pounds per week by following a meal plan provided by a doctor for w Weeks write a function for R, Rich's weight. ​

Answers

Function for R=320-3w
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