•given ABCD is a kite, check every box that must be true

•use calculations and words to show this quadrilateral meets the definition of a kite​

any help would be appreciated <3

Given ABCD Is A Kite, Check Every Box That Must Be True Use Calculations And Words To Show This Quadrilateral

Answers

Answer 1

Answer:

Step-by-step explanation:

A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.

The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:

1) two pairs of consecutive sides are congruent

2) The diagonals are perpendicular

3) The diagonals bisect each other.

Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)

[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]

AB=AD, BC = BC.

This is a kite since two pairs of consecutive sides are congruent


Related Questions

Calculate the radius of the circular rug. Use 3.14 for π.

area of rug: 153.86 feet

Answers

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

The best and correct answer is 7

Solve the following inequality:
-5.3 > 1 – 2(-5x - 1)
Answer:
Submit Answers

Answers

Answer:

X< -1.26

Step-by-step explanation:

Combine like terms and solve like any other two step equations

Answer:

X< -1.26

Step-by-step explanation:

WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course. a. Describe how to find the lengths of segments and . Show your answers for this question. Explain how you can be confident your calculations are correct. b. Describe how to find the angle measures of and . Explain how you can be confident your calculations are correct. c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why? d. If we drew a median into trapezoid and the given measurement of that median was 21.425, would that change your answer for part c of this question?

Answers

This is an isosceles trapezoid, because the two angles are supplementary on the right side.

y is 25 based on the Pythagorean theorem

w is sqrt (850)=29.15

z must be 15

Making a right triangle to look at the altitude

cos 59=a/15, so a is 7.73 between the right corner and the edge of x

 

That means x is 29.15-2(7.73)=13.69

=============

The median should be half way between 13.69 and 29.15

That is half their sum, or half of 42.84 or 21.42

That doesn't change the answer above

Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.

please mark brainliest!

What is the total surface area of this prism?

Answers

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

what are the solutions of 3x2+14x+16=0

Answers

Answer:

(x+2)(3x+8)

Step-by-step explanation:

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

Step-by-step explanation:

So make the variables.

Hungarian = x

Polish = y

x  and y are the amount of time she spent in minutes.

x + y = 5

150x + 270 = 190y

x = 5 - y

750 - 150y + 270 = 190y

1020 = 340y

y = 3

x = 2

help this is for special right triangles 30-60-90

Answers

Answer:

y = 10, x = 10sqrt3

Step-by-step explanation:

30-60-90 right triangles follow the ratio of x:xsqrt3:2x

In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3

If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.

Answer:

x = 10sqrt(3) = 17.3

y = 10

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The short leg is half the hypotenuse.

hypotenuse = 20

short leg = y = 20/2 = 10

The long leg is sqrt(3) times the short leg.

long leg = x = 10sqrt(3) = 17.3

Luca is designing a propeller system that consists of 3 blades, each of which is identical. The blades are sectors of a circle that have radii of 4 inches and central angles of 20 . The blades are to be made from steel that weighs 16 grams per square inch. Determine the weight of the three blades together to the nearest gram.

Answers

Answer:

Total weight of blades = ~134gm

Step-by-step explanation:

Radius of circle, [tex]r[/tex] = 4 inches

Central angle of sector = [tex]20^\circ[/tex]

For finding the weight of blades, we need to find the area of blades.

Area of circle, A = [tex]\pi r^{2}[/tex]

We know that circle has a central angle of [tex]360^\circ[/tex].

We can use unitary method to find the area of sector with angle [tex]20^\circ[/tex].

Area of [tex]360^\circ[/tex] central angle = [tex]\pi r^{2}[/tex]

Area of [tex]1^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2}[/tex]

Area of [tex]20^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2} \times 20[/tex]

Putting value of r = 4 inches

Area of blade:

[tex]\dfrac{\pi}{360} \times 4^{2} \times 20\\\Rightarrow 2.79\ in^{2}[/tex]

We have 3 blades here, so area of 3 blades =

[tex]2.79 \times 3\\\Rightarrow 8.38\ in^{2}[/tex]

Weight of steel = 16 grams per square inch

Total weight of all 3 blades = 16 [tex]\times[/tex] 8.38 = ~ 134gm

Can someone please help me please only do if you know how to do geometry thank you thank you thank you

Answers

Answer:

AAA would be the answer

Step-by-step explanation:

The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.

Answer:

AAA

Step-by-step explanation:

Pls answer. i will mark u as branliest

Answers

Answer:

120°

Step-by-step explanation:

you can divide the shape into 4 triangles

each triangle is 180°

180 x 4 = 720

720 divided by the number of angles (6) is 120

Answer:

120

Step-by-step explanation:

360/3=120

If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?

Answers

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

The amount of the pure drug in 75 ml will be 17.5 grams.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratio of the two proportional items will remain the same.

The amount of the drug is directly proportional to the contained liquid.

If 35 gms of the pure drug are contained in 150 ml.

Then the amount of the pure drug in 1 ml will be

⇒ 35 / 150

⇒ 0.2333 grams per ml

Then the amount of the pure drug in 75 ml will be

⇒ 0.2333 x 75

⇒ 17.5 grams

The amount of the pure drug in 75 ml will be 17.5 grams.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Joe spent $48 on fruit at the grocery store. He spent a total of $50 at the store. What percentage of the total did he spend on fruit?

Answers

Answer:

96%

Step-by-step explanation:

Take the amount spent of fruit and divide by the total

48/50

Percent means out of 100 so multiply the top and bottom by 2

96/100

96%

Answer:

If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.

48/50=.96

.96*100=96%

In total he spent 96% of his money.

Expand: (1 + 6x)(1 - 6x)

Answers

Answer:

6 x(6x)+6x*-1+1(6x)+1*-1  SIMPLIFIED: 36x^2-1

Step-by-step explanation:

Use foil and distributive property

In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.

Answers

Answer:

Try this solution, it consists of two parts (MN=8).

Step-by-step explanation:

Prove that the diagonals of kite UVWX are
perpendicular
Step 1: Determine the slope of XV.
The slope of XV is
Step 2. Determine the slope of UW
The slope of UW is
Step 3. The slopes of the diagonals are
The diagonals of kite UVWX are

Answers

Answer:

The answer is the slope of XV is 1.

The slope of UW is -1

The slopes of the diagonals are negative reciprocals

The diagonals of kite UVWX are perpendicular

Step-by-step explanation:

Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

One of the diagonal of a kite has a slope that is equal to the inverse

multiplied by (-1)  of the other, therefore the diagonals are perpendicular

Reasons:

The proof that the diagonals of a kite are perpendicular is as follows;

The properties of a kite are;

The lengths of adjacent sides are equal

Therefore, taking the vertex at , U, as the origin, we have;

Coordinates of U = (0, 0)

Coordinates of V = (-a, b)

Coordinates of W = (0, c)

Coordinates of X = (a, b)

Step 1:

[tex]\displaystyle The \ slope \ of \ XV = \mathbf{ \frac{b - b}{x - (-x)} }=0[/tex]

The slope of XV is 0; XV is a horizontal line.

Step 2:

[tex]\displaystyle The \ slope \ of \ UW = \mathbf{\frac{c - 0}{0 - 0}} =\infty[/tex]

The slope of UW is infinity; UW is a vertical line.

Step 3:

The slope of the diagonals are; m₁ = 0, and m₂ = ∞

The above values satisfy the equation, [tex]\displaystyle m_2 = \mathbf{-\frac{1}{m_1}}[/tex]

Therefore;

The diagonals of kite UVWX are perpendicular

Learn more about the characteristics of a kite here:

https://brainly.com/question/8843373

What is the correct solution to the equation 2x+7 = 19 a) x = 6 b) x = 13 c) x = 12 d) x = 2.5

Answers

Answer:

a

Step-by-step explanation:

2x +7= 19

2x= 19 -7 (-7 on both sides)

2x= 12 (simplify)

x= 12 ÷2

x= 6

Answer:

a

Step-by-step explanation:

Given

2x + 7 = 19 ( subtract 7 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

I just need help with it all I don't know really what to do

Answers

Answer:

Step-by-step explanation:

what is the area of this quadrilateral 30 square feet 12 square feet 42 square feet 36 square feet

Answers

Answer:

Step-by-step explanation:

The rectangle in the middle has an area of 30 because it is a 3x10.  

The triangles each have an area of 6 because they are a 3x4 and the forumla to find it is .5(bh) which is .5(12)=6.  There are 2 of them so the total area of the triangles add up to 12.  

Add the area and get 42.  30+12=42

Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).

Answers

The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5

The function is given as:

[tex]g(x) = 2^{x - 1} + 3[/tex]

Set x = 0, to calculate the y-intercept

[tex]g(0) = 2^{0-1} + 3[/tex]

Simplify the exponent

[tex]g(0) = 2^{-1} + 3[/tex]

Express 2^-1 as decimal

[tex]g(0) =0.5 + 3[/tex]

Add 0.5 and 3

[tex]g(0) =3.5[/tex]

This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5

Also, the graph of g(x) has a horizontal asymptote at y = 3.5

Read more about exponential graphs at:

https://brainly.com/question/8493280

Answer:

3 graph

Step-by-step explanation:

Solve for f.

–7f − 9 = 9 − 4f

f =

Answers

F= 6.
-7f -9=9-4f
3f-9=9
3f=18
F=6

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

PLEASE HURRY IM TIMED ASAP WILL MARK BRAINLIEST

Which of the following are solutions to x > 5? (Check all that apply.)

8
5.2
5
0
6.7
82

Answers

Answer:

8,5.2,6.7,82 sorry i had to hurry up

Answer:

8

5.2

6.7

82

Step-by-step explanation:

all that are bigger than 5

(would really, reallly appreciate the brainliest)

Given that M angle KLH equals 120° which statement about the figure must be true?

Answers

Answer:

m∠HLI = m∠ILM

Step-by-step explanation:

Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot

Answers

Answer:

[tex]\frac{2}{7}+\sqrt{121}[/tex]

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.

Sum of a rational and irrational number is irrational.

In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number

So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.

In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number

So, [tex]\pi+\sqrt{16}[/tex]  is not a rational number.

In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number

So, [tex]\frac{2}{7}+\sqrt{121}[/tex]  is a rational number

In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number

So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

what is the smallest prime that is a factor of the sum 51+ 1?

Answers

Answer:

the smallest prime factor of 52 is 2

Step-by-step explanation:

What is the smallest prime that is a factor of 52?

52 = 4*13, or 52 = 2*2*13.  So the smallest prime factor of 52 is 2.

PLEASEEE HELP ME WITH THIS QUESTION!!!!!!! ASAP PLEASE ANSWER IT CORRECTLY AND NO GUESSING!!!!!!
Which of the following is true about Debit Cards?

A= When you use a Debit Card you pay the bill at the end of the month with interest.
B= Debit cards withdraw money from your bank account
C= Debit cards are a way for you to borrow money.

Answers

The answer is B ! When you use a debit card it takes money out of your card

Answer:

the answer

is b

i hope that helps

Need help !!! If f(x) = 3x+10 and g(x) = 5x-3,find (f+g)(x)

Answers

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

How do i find the area i dont understand the formula

Answers

Answer:

The answer is A (97.5)

Step-by-step explanation:

Formula Using the Diagonals

That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.

(13)(15) /2 = 195 /2

(Decimal: 97.5)

Please mark brainliest!

1. John is building a miniature model of a building on campus. The dimensions of
the building are 95 ft x 80 ft x 30 ft. The model is 1/10th the dimensions of the
building. Sketch the model, then find the volume of the model.

Answers

Answer:

228 ft^2

Step-by-step explanation:

1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.

The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2

Kai bought 6 new Pokemon cards to add to his collection. The next day, his dog ate half his collection! There are only 27 cards left now. How many cards did Dan start with?

Answers

The answer will be 162 or I’ll just divide I times it

Aball is thrown downward from a window in a tall building. Its position at time tin seconds is s = 16t ^ 2 + 32t , where s is in feet. How long to the nearest will the ball to fall 276 ?

Answers

Answer:

3seconds

Step-by-step explanation:

If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;

276 = 16t² + 32t

16t² + 32t = 276

Dividing through by 4

4t² + 8t = 69

4t² + 8t - 69 = 0

Using the general formula to find t

t = -b±√b²-4ac/2a

a = 4, b = 8 and c = -69

t = -8±√8²-4(4)(-69)/2(4)

t = -8±√64+1104/8

t = -8±√1168/8

t = -8±34.176/8

t = -8+34.176/8 or -8-34.176/8

t = 3.272 or -5.272

neglecting the negative time, t = 3secs to the nearest seconds

It will take the all 3secs to fall 276 feets

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