ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.

Answers

Answer 1

Step-by-step explanation:

let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.

the slope BA = -1

as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).

the slope of CD = -1

as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).

so, both lines are indeed parallel.

the slope CB = +1

as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)

the slope of DA = +1

as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)

so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).

therefore, we have only 90° angles here.

and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.

therefore, this is a square.

and with that it is automatically also a rectangle and a rhombus.


Related Questions

Check image for question

Answers

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

a*b=ab²2*3=2(3)²2*3=2(9)2*3=18

Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?

Answers

Answer:

52 1/4

Step-by-step explanation:

noah neck wth noah neck

Answers

Answer:

a meme

Step-by-step explanation:

Answer:

meem

Step-by-step explanation:

meet bc it is crazy and I luv it

if there is 26.5 g of sugar in 250ml, how much in 200 ml

Answers

There are exactly 21.2 grams in the 200 milliliters of sugar. Hope this helps!

i need help with this question

Answers

Divide x by y and compare:

5/1 = 5

10/2 = 5

20/4 = 5

All 3 are the same number so yes the rate of change is constant.

Answer:

Yes

Step-by-step explanation:

We can see that the correlation between x and y is

x = y/5

or

y = 5x

With two of the angles fixed on ADEF, what do you notice about the shape of ADEF when compared with ABC?​

Answers

Answer:

Step-by-step explanation:

u notice that the letters are different from each other

convert 14 in base 10 into base 5

Answers

Since

14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,

we have

14₁₀ = 24₅

please help, i really beg

Answers

Answer:

Undefined

Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.

I'm saying positive. I don't think you need a shape to find the slope

please can someone help with this

Answers

Answer:

true

false

true

true

Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.


Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.

Answers

Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:

270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X

Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Learn more about maths in https://brainly.com/question/25901815

Write an expression that is equivalent to 2 (4x +9)​

Answers

Answer:

8x/3+6 is equivalent and simplified

plz answer!!!!!!!!!!!!!!​

Answers

Answer:

7

Step-by-step explanation:

i know

work out the height of a triangular crosse section with the volume of 35cm

Answers

The answer is 2.5 cm.

Sorry if I am incorrect

Please help me with the math below

Answers

Sorry a bit messy, with a ratio of 2:5:1, that means 5 would be the longest and your longest piece is 125, diving 125 by 5 gets you 25 cm, this is also your shortest piece since 1x25=25

HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!

Answers

Answer:

B. is correct answer I think so

Step-by-step explanation:

i need help please

plz mark me as brilliant

Hayar el patrón 7103425320;_________;7103676328;7103801823

Answers

Don’t understand this question your trying to ask

Mathematics 13 don’t understand

Answers

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  [tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  [tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]

Consider division:

  [tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

combine over common denominator 2/3a + 1/3 - 4/a

Answers

It’s would be 3a


Mark as brainliest

Please help me, you can see the parabola down below. Please.

Determine the equation of the parabola in Vertex Form. Work must be shown.

Answers

Answer:

let me check....

Step-by-step explanation:

f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)

A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4

Answers

Answer:

  C)  x^5/2 +6x^3/2 +1

Step-by-step explanation:

The relevant rule of exponents is ...

  a^b/a^c = a^(b-c)

__

  [tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]

Today only, a desk is being sold at a 29% discount. The sale price is $497.
What was the price yesterday?

Answers

Answer: yesterdays price was $700

Step-by-step explanation:

$497 = 71% of the RP (100 - 29)

RP*0.71 = 497

RP = 497/0.71

RP = $700

Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?

Answers

Step-by-step explanation:

So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...

Now,

Angle 1 + Angle 2 + Angle 3 = 180°

( Sum of all angles of the triangle)

x + 2x +6x = 180°

x + 8x = 180°

9x = 180°

x = 180°/9

x = 20°

Therefore,

Angle 1 = x = 20°Angle 2 = 2x = 2 × x = 2×20° = 40°Angle 3 = 6x = 6 × x = 6×20° = 120°

So, 20°,40°,120° are the 3 angles of the triangle..

hope it helps!!!

(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?​

Answers

each class will get about 37 pizzas

Plxzzz plzzzzzznhelp meeee

Answers

Answer: A. An infinite number of diameters can be drawn in a circle.

Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.

How far dose a kangaroo travel in 2 minutes

Answers

According to my knowledge, kangaroo travelers 1.3 kilometers in 2 minutes

just do one if u want

Answers

Answer:

whats the question i can't really see it

Step-by-step explanation:

Help me with this please

Answers

Answer: the answer is  -5

Step-by-step explanation:

k

The store ordered an equal amount of flour and rice. Flour is packed in 60 kg and rice in 50 kg. How many kilograms of flour and rice will you order if the store warehouse has a maximum of 22 bags?​

Answers

The answer would be 5

3.please help me out

Answers

Answer:

125

Step-by-step explanation:

Step-by-step explanation:

5×5²

=5×5×5

=125

index form= 5³

the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago

Answers

20 +6= 26 26 x2 =52 so it is 52 degrees 6hrs ago
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