Compare the properties of the diagonals of a kite with those of a square.

Answers

Answer 1

1.Two distinct pairs of adjacent sides are congruent (i. e they have the same angle)
2. Diagonals of a kite intersect at right angles
3. One of the diagonals is the perpendicular bisector of another.

While the square..
1. Diagonals are equal and are perpendicular bisectors of each other

Answer 2

Diagonals of square are congruent while diagonals of kite are not congruent to each other.

What is diagonal?

" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."

Compare the properties of diagonal of square and kite

1) Diagonals of square are congruent while diagonals of kite are not of same length.

2) Diagonals of square bisect each other while in kite longer diagonals bisects the smaller one.

3) Diagonals of square and kite are perpendicular to each other.

Hence, diagonals of square are congruent while diagonals of kite are not congruent to each other.

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Related Questions

Two squares are drawn. The larger Square has area of 400 in.². The area of the two squares have a ratio of 1 to 4. What is the side length S of the smaller square?

Answers

The first thing we must do in this case is to find the area of the smallest square.
For this, we use the following relationship:
A1 / A2 = 4/1
Substituting:
400 / A2 = 4/1
From here, we clear A2:
A2 = (1/4) * (400)
A2 = 100 in ^ 2
We now look for the side of the small square, we use the following relationship:
A = S ^ 2
We cleared S:
S = root (A)
S = root (100)
S = 10 in
Answer:
the side length S of the smaller square is:
S = 10 in

Answer: S=10 in

Step-by-step explanation:

The first thing we must do in this case is to find the area of the smallest square.

For this, we use the following relationship:

A1 / A2 = 4/1

Substituting:

400 / A2 = 4/1

From here, we clear A2:

A2 = (1/4) * (400)

A2 = 100 in ^ 2

We now look for the side of the small square, we use the following relationship:

A = S ^ 2

We cleared S:

S = root (A)

S = root (100)

S = 10 in

I copied the guy above me 4 points

Which image that would portray the rotation of the given preimage and the rotation arrow.

Pre-image (1st picture shown):

Image (the following 4 pictures are the options):

Answers

is the arrow the length of the rotation? 90 degrees? if so, the second picture is, with the star at the highest point of the other pictures.

Answer:

First figure as shown below is the correct option.

Step-by-step explanation:

We are given that,

The pre-image is rotated in the direction of the arrow to form an image.

It is required to find the image formed.

Since, the arrow is rotating counter-clockwise, we get that,

The star in the pre-image will rotate upwards towards the left.

So, according to the options, we have,

The first image where the star is at the highest height will be the image after rotating the pre-image.

Hence, the first figure as shown below is the correct option.

Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3).

Answers

The first thing I'll do is solve "5y = 2x + 20" for "y=", so that I can find my reference slope:

y = (2/5)x + 4;

So the reference slope from the reference line is m = 2/5;.

Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line.

Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope m = 2/5. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);

Finally, y = (2/5)x + 17/5;

How do I answer this equation? -3x+y=12. I'm supposed to find the function for it bt I don't know how. Can you guys help me out please

Answers

Typically when being asked for a function, they want it written in slope intercept form. To find that, you need to solve for y.

You can do this by adding 3x to both sides which would result in y = 3x + 12.

Also, math teachers typically want functions expressed in terms of f(x) instead of y. So, you can replace your y with that to get the final answer of f(x) = 3x + 12.

Answer:

[tex]y=3x+12[/tex]

Step-by-step explanation:

We have been given an equation in standard form [tex]-3x+y=12[/tex]. We are asked to write our given equation as a function.

We know that the function represents a relationship between input and output, where each input gives exactly single output.

To write our given equation as a function we need to convert our given equation into slope-intercept form of equation because in slope-intercept form, there is exactly one y output for each input of x.

[tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

To convert our given equation into slope-intercept form, we need to get y on left side of our equation.

[tex]-3x+3x+y=3x+12[/tex]

[tex]y=3x+12[/tex]

Now our equation is in form of a function, where each value of x gives exactly one y value.

Is it possible for two integers to have no common factors

Answers

No. Even if both integers are prime, they still share the common factor of 1.

Final answer:

Two integers can have no common factors, making them coprime or relatively prime.

Explanation:

Yes, it is possible for two integers to have no common factors. When two integers have no common factors, they are considered relatively prime or coprime. For example, 15 and 28 are coprime because the only positive integer that divides both numbers is 1.

What is the measure of angle C?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

To solve this problem you must apply the proccedure shown below:
1. You can calculate the angle C as following:
Tan⁻1α=opposite/adjacent
α=C
opposite=3
adjacent=4
2. When you susbtitute the values, you obtain:
Tan^-1(C)=(3/4)
3. Then, you have that the measure of the angle C is:
C=36.87°
Therefore, as you can see, the answer is: 36.87°

Answer:

36.87

Step-by-step explanation:

Just took the k12 test!!

What is the wavelength of an earthquake wave if it has a speed of 7 km/s and a frequency of 3 Hz?

Answers

500 meters
wavelength = speed / frequency (5000m/s /10Hz)

Answer: Our wavelength will be 2333.3 m.

Step-by-step explanation:

Since we have given that

Wave speed = 7 km/ s

Frequency = 3 Hz

We need to find the wavelength of an earthquake wave:

As we know that :

[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]

First we convert km/sec to m/sec.

So, 7 km/sec= 7000 m/sec

so, our wavelength becomes

[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]

So, our wavelength will be 2333.3 m.

Linwood has 38 nickels, 32 dimes, 11 quarters, and 17 fifty-cent pieces. How much money does he have?

A. $16.35
B. $15.15
C. $14.85
D. $16.65

Answers

38 nickels = $1.90
32 dimes = $3.20
11 quarters = $2.75
17 fifty-cent pieces = $8.50

All together, it would be $16.35.
So A is the correct answer.

Hopefully this helps. :)

What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthesis x plus one right parenthesis squared minus three?

Answers

The correct axis of symmetry is x = -1.

Explanation:

Our equation is
[tex]y=\frac{1}{3}(x+1)^2-3[/tex].

This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.

In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).

The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.

In an orchard, there are 15 apple trees,27 orange trees,,and a cherry tree.what is the ratio of orange trees?

Answers

[tex]Ratio_{(\text{orange trees})}= \dfrac{\text{orange trees}}{\text{total trees}} \\ \\ Ratio_{(\text{orange trees})}= \dfrac{27}{15+27+1} \\\\ Ratio_{(\text{orange trees})}=\dfrac{27}{43}[/tex]

15.21–3.9–4.7+6.79 Calculate in the fastest way possible!

Answers

Hello :))

Your answer is 13.4

Hope this helps :))

Answer:

13.4

Step-by-step explanation:

=15.21-3.9-4.7+6.79

=15.21+6.79-3.9-4.7

=22-3.9-4.7

=18.1-4.7

=13.4

Help!! does x = 2??

An equation is shown below:

4(2x - 5) + 15 = 11

Write the steps you will use to solve the equation and explain each step.

Answers

8x-20+15=11
8x=11+20-15
8x=16
x=2

Hello!

Here are the steps to solve for x:

4(2x - 5) + 15 = 11
8x - 20 + 15 = 11
8x = 16
x / 8 = 16 / 8
x = 2

Therefore, your answer is correct :) Good job!

WILL GIVE BRAINLIEST

WILL GIVE BRAINLIEST AND 50 points

out of a port departed a steam boat with a speed of 36.8km/h. In 1.75 hours out of the same port and going the Sam direction departed a speed boat. In 1.8 hours after the the department of the speed boat, the distance between the speed boat and the steam boat was 86.9km. What was the speed boats speed in km/h?

Answers

We have the following kinematic equations that model the problem:
steam boat:
r1 = (36.8) * t
speed boat:
r2 = v * (t-1.75)
The distance between the boats is:
d = r2-r1 = v * (t-1.75) - (36.8) * t
Substituting t = 1.8 and d = 86.9 we have:
86.9 = v * (1.8-1.75) - (36.8) * 1.8
We clear the speed:
v = (86.9 + (36.8) * 1.8) / ((1.8-1.75))
v = 3062.8 Km / h
Answer:
the speed boats speed in km / h is:
v = 3062.8 Km / h

Answer: the speed boats speed in km / h is:

v = 3062.8 Km / h

A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by??? 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.??? drivers? Why or why??? not?

Answers

Answer: No, it would not be the mean of the tax paid by all US drivers.

To find the mean, we divided by 50 because there are 50 states. However, the number of people in each state is not equal. Therefore, the 50 states should not be treated as they are equal.

To find the mean correctly, we would have to find weight the value of each state according to the number of people in the state.

Please help! How did the failure of the League of Nations help contribute to instability in Europe?,

Answers

While the League of Nations was the brainchild of Woodrow Wilson, in an effort to prevent another great war in the post World War I era, Woodrow Wilson did not live long enough to push approval to join the League of Nations through Congress. By refusing to join, Congress insured that there was no influence of the United States on the League and ultimately, the League of Nations was left weak and helpless to influence the behavior of strong European nations. With no way to enforce the decisions that the League made, it ultimately did little more than stir up more resentment.

What are the equations of the horizontal asymptotes of y = (4e^x+7)/(e^x-1) in the xy plane?

Answers

In order to find a horizontal asymptote of a function f(x), you need to calculate
[tex] \lim_{x \to \infty} f(x) [/tex] = n
where n is a finite number.

in your case you have to caculate separately the two limits:

a) [tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 } [/tex] = [tex] \frac{\infty}{\infty} [/tex]

To solve this, you need to regroup eˣ both on the numerator and on the denominator:
[tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = [tex]\lim_{x \to +\infty} \frac{4 e^{x} (1 + \frac{7}{ e^{x} } ) }{ e^{x} ( 1 - \frac{1}{ e^{x} } ) }[/tex]

At this point the two eˣ cancel out and the parenthesis tend to 1, therefore
[tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = 4
Your first horizontal asymptote is y = 4.

b) Let's calcuate now:

[tex]\lim_{x \to -\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = [tex] \lim_{x \to -\infty} \frac{0 + 7}{0 - 1} [/tex] = -7
Therefore your second horizontal asymptote is y = -7

Your answer is, hence, y = 4 and y = -7 are horizontal asymptotes of the given function.

Final answer:

The horizontal asymptotes of the function y = (4e^x+7)/(e^x-1) are y = 4 and y = -7, occurring as x approaches positive and negative infinity respectively.

Explanation:

The equations of the horizontal asymptotes of the given function y = (4e^x+7)/(e^x-1) can be found by analyzing the behavior of the function as x approaches positive or negative infinity. In this function, as x approaches infinity, e^x grows much faster than any constant, so the constants can be considered negligible. Thus, the behavior of the numerator and denominator is dominated by the terms involving e^x. As x tends towards infinity, the function approaches the ratio of the coefficients of e^x, which is 4/1, meaning the horizontal asymptote is y = 4. As x tends towards negative infinity, e^x approaches zero, and the function approaches 7/(-1), so there is also an asymptote at y = -7.

It is given that there is a vertical asymptote at x = -1, where the denominator becomes zero and hence "blows up".

what other information do you meed to prove ΔABE≌ΔEDA by SSS .5pts

Answers

3rd selection: ΔEAC is equilateral triangle.

You need to show AB ≅ ED. Knowing AEC is isosceles with base EC (2nd selection) is equivalent to knowing ∠E ≅ ∠C (1st selection). All that tells you is AC ≅ AE, which is not what you need. Likewise, the 4th selection tells you AE ≅ CE, which doesn't help, either (for the same reason).

8x+10=12x-18
Find the value of x

Answers

The answer you are looking for would equal logb(x) = y

(−3)∙(3a−2b)−6(2a−4b)

Answers

-9a+6b-12a+24b

-21a+30b

Solve please This is Composite Figures :)

Answers

The area is that of two 20 yd squares and one 20 yd circle.
.. A = 2*(20 yd)^2 +(π/4)*(20 yd)^2
.. = (2 +π/4)*(400 yd^2)
.. = (800 +100π) yd^2
.. ≈ 1114.16 yd^2

The perimeter is that of a 20 yd circle and 80 yd more.
.. P = π*20 yd + 80 yd
.. ≈ 142.83 yd

What is the mean absolute deviation for the data set?

{20, 24, 12, 44, 68}

16.81

17.04

17.52

17.92

Answers

Answer:

17.92

Step-by-step explanation:

I took the test and had the same question, plus the screenshot above

The Mean Absolute Deviation is 17.92.

What is Mean Absolute Deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation.

Take the absolute value of each digit in the data set, then deduct the mean. Next, add up the absolute values. The mean absolute deviation is then calculated by dividing the aforementioned sum by the total number of values in the data set.

Given:

Data set: {20, 24, 12, 44, 68}

Mean of the data = (20+ 24+ 12+ 44+ 68)/ 5 = 168/5

= 33.6

Mean Absolute Deviation

= {| 20- 33.6| + |24- 33.6| + |12-33.6| + | 44-33.6| + |68-33.36|} / 5

= (13.6+ 9.6 + 21.6+ 10.4 + 34.4 )/ 5

= 89.6/ 5

= 17.92

Hence, the Mean Absolute Deviation is 17.92.

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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

Actually, the point-slope form is
.. y -1 = (1/4)(x -12)
.. 4y -4 = x -12 . . . . multiply by 4
.. x -4y = -4 +12 . . . add 12-4y
.. x -4y = 8 . . . . . . . the equation in standard form

Please help me please

Answers

[tex]3^{ \frac{11}{5} }:3^{ -\frac{9}{5} }=3^{ \frac{11}{5} -(-\frac{9}{5}) }=3^{\frac{20}{5} }=3^{ 4}=81[/tex]

the answer is 81

The product of 0.1400 × 6.02 × 1023 will have how many significant figures?

Answers

3 significant figures.

0.1400 has 4 sig figs, 6.02 has 3, and 1023 has 4. when calculating significant figures for a multiplication or division equation, the product or quotient will have the same amount of significant figures as the number with the least amount of significant figures (in this case: 6.02).

Answer:

Step-by-step explanation:

We are given that an expression

[tex]0.1400\times 6.02\times 10^{23}[/tex]

We have to find the number of significant figures in the product .

In 0.1400 , there are 4 significant figures

In [tex]6.02\times 10^{23}[/tex], there are three significant figures

[tex]0.1400\times 6.02\times 10^{23}[/tex]

[tex]0.8428\times 10^{23}[/tex]

In multiplication, we have to precise the final answer to least significant figures.

Therefore, the final answer=[tex]0.843\times 10^{23}[/tex]

Hence, three significant figures in the product.

WILL GIVE BRAINIEST!! I need your help!

Answers

First of all, u have to know what (f o g)(x) means. It means that the function f is a function of g where g is a function of x. or in other words (f o g)(x)= f(g(x))
as in Q#24:
(f o g)(x)= f(g(x)) but [tex] f(x)=(x+2)^{2}[/tex] so in case of f(g(x)) means that we have to eliminate each x in the function f(x) and substitute it with the value of g(x) as the following:
[tex] f(g(x))=(g(x)+2)^{2}[/tex] but [tex]g(x)=\sqrt{x}-2[/tex] so we have to substitute with the value of g(x) in the last equation
[tex] f(g(x))= (\sqrt{x}-2+2)^{2}=(\sqrt{x})^{2}=x[/tex]
by the same way (g o f)(x), it means that g is a function of f where f is a function of x.
so [tex] (g o f)(x)=g(f(x))=\sqrt{f(x)} -2 =\sqrt{(x+2)^2} -2 =x+2-2 =x [/tex]
If you followed the same procedure, u would figure out how to solve the rest urself.

What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

Answers

we know that
Area of a circumference=π*r²
for diameter=21.2 cm---------> r=10.6 cm
A=π*10.6²--------> A=π*112.36 -------> A=352.81 cm²

if 2π radians (full circumference) has an area of -----> 352.81 cm²
3π/5 radians-------------------------------------> X
X=[(3π/5)*(352.81)]/2π---------> X=105.84 cm²

the answer is 105.84 cm²

What is the length of z ?

Answers

it's close to six and it's shorter so 5?

Answer:

The length of z is [tex]3\sqrt{3}[/tex] unit

Step-by-step explanation:

First Label the diagram as shown in the attachment:

In right [tex]\triangle ABC[/tex];

first find the value of y:

Use Pythagoras theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.

In [tex]\triangle ABC[/tex]

length of AB =6 unit , length of BC =y unit and the length of AC = 3+9 =12 unit

Now, using Pythagoras theorem to get the value of y;

[tex]AB^2+BC^2=AC^2[/tex]

[tex]6^2+y^2=12^2[/tex] or

[tex]36+y^2=144[/tex] or

[tex]y^2=144-36[/tex]=108 or

[tex]y=\sqrt{108}[/tex]

on simplify we get, [tex]y=6\sqrt{3}[/tex] unit

Therefore, the length of BC is [tex]6\sqrt{3}[/tex] unit.

now, in [tex]\triangle BDC[/tex]

using Pythagoras theorem to find the value of z;

[tex]BD^2+CD^2=BC^2[/tex]

Putting the values of BD = z units , BC = [tex]6\sqrt{3}[/tex] unit and DC = 9 units we have,

[tex]z^2+9^2=(6\sqrt{3})^2[/tex] or

[tex]z^2+81=108[/tex] or

Simplify:

[tex]z^2=27[/tex] or

[tex]z=\sqrt{27} = 3 \sqrt{3}[/tex]

Therefore, the value of length z is [tex]3\sqrt{3}[/tex] unit

Samuel paid $720 for a new music system. The list price for the music system was $800. What was his rate of discount?

Answers

the discount rate is 10%

Final answer:

Samuel received a 10% discount on the music system, calculated by finding the difference between the list price ($800) and the sale price ($720), then dividing that by the list price and multiplying by 100.

Explanation:

The question at hand is about calculating the rate of discount Samuel received on his new music system. Initially, the list price of the music system was $800, but Samuel paid $720 for it. To find the rate of discount, we first need to determine the discount amount which is the difference between the list price and the sale price.

List Price = $800Sale Price = $720Discount Amount = List Price - Sale Price = $800 - $720 = $80

Next, to find the rate of discount, we use the formula:

Rate of Discount = (Discount Amount / List Price) × 100

Substituting the values we have:

Rate of Discount = ($80 / $800) × 100 = 10%

Therefore, Samuel received a 10% discount on the music system.

Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. When the boat has traveled 7 meters, the height of the barnacle is approximately:

Answers

Answer:

The height of the barnacle is approximately is, 0.657 meters.

Step-by-step explanation:

Given the graph below of y =sin(x) ......[1]

Let y be the height of the barnacle and x be the distance the boat has traveled

Given: The boat has traveled 7 meters

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7) ≈0.657.

Therefore, the height of the barnacle is approximately is, 0.657 meters.

you can see also in the graph as shown below:

Answer:

1st is C 2nd is B

Step-by-step explanation:

.
(07.01)
Four polynomials are shown below:

A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial?

Answers

A 5th degree polynomial means that when simplified, the variable is to the 5th power. A trinomial is when there are three different components.

Therefore, your answer is A because there is an x to the 5th power, and three different components (3, -7x^5, and x^2)

Answer: The answer you are looking for is option A which would be 3 - 7x^5 +x^2

Step-by-step explanation: It is a 5th degree trinomial because, there are three terms in this equation being 3, 7x^5, and x^2; this makes it a trinomial becuase there are three terms. What makes this a 5th degree is the fact that the highest exponet is 5.

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