Han and Priya were making a kite. Han cut out a piece of fabric so

that there were 2 short sides of the same length on top and

2 long sides of the same length on the bottom. Priya cut 2 pieces

of wood to go across the diagonals of the kite. They attached the

wood like this:

Han asked Priya to measure the angle to make sure the pieces of

wood were perpendicular. Priya said, "If we were careful about

the lengths of the sides of the fabric, we don't need to measure

the angle. It has to be a right angle."

Complete Priya's explanation to Han.

Answers

Answer 1

A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.

Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.

The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.

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Answer 2

The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

Since Priya said to Han that  "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."

Priya used the properties of a kite.

Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.

So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.

So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

Learn more about kites here:

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Related Questions

What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.

Answers

the answer is 5 hope this helps lol

Find the sum of a third of (a+b) and a fifth of (a-b)

Answers

Step-by-step explanation:

As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].

What is a linear expression?

A linear expression is an expression where the variable has the highest power of 1.

Given  liner expression is:

[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]

Therefore, the required sum is  [tex]\frac{2(a+4b)}{15}[/tex].

Learn more about a linear equation here: https://brainly.com/question/1722892

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Directions: Tell whether the following is a quadratic inequality or not.
1. y = 4x2 + 3x + 9 = ____________________________
2. m + 4 > 0 = ____________________________
3. m2 + 3m + 2 < 0 = ____________________________
4. �� ≤ (x - 5) = ____________________________
5. b2 -14b -15 < 0 = ____________________________
6. (4d2-9) + (2d +3) > 0 = ____________________________
7. x > 8x = ____________________________
8. 0 > 2x2 - 262 = ____________________________
9. n2 +4n =21 = ____________________________
10. 15 – 4p ≥ 10p2 = ____________________________

Answers

Anser

(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

sorry, I cant help... i am not able to see the picture

Step-by-step explanation:

Which expression best estimates 6 3/4 divided by 1 2/3
A 7 divided by 2
B 6 divided by 1
C 8 divided by 3
D 3 divided by 2

Answers

Answer:

B is my answer si no sorry

A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?​

Answers

Answer:

[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Step-by-step explanation:

Average speed = distance/time

Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour

Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

is it correct?
or not​

Answers

Yes,it is
……………………..
Yes, it is correct. :)

Simplify: [tex]-\sqrt{16x^2}[/tex] if x<0

Answers

Answer:

[tex]$-4x$[/tex]

Step-by-step explanation:

First, let us write this equation into an easier one. We have:

[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]

The exponents cancel out with the square root, so we have:

[tex]-4x[/tex]

as our answer.

HOPE IT HELPS :D

A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places

Answers

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

You estimate the weight of an apple to be 6 ounces. The actual weight of an apple is 4 ounces. What is your percent error?




help

Answers

Answer:

150%

Step-by-step explanation:

I hope this helps

Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.

Answers

Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

The iterative can also be understood by the following links.

https://brainly.com/question/5236989

https://brainly.com/question/20275487


A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?

Answers

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

Both of there incomes are 2600 because of you divide the 2000 more that how much they make

Algebraic Proof

Match the justification to each step of the deductive reasoning about this picture. Please Help!

Answers

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

Rationale: Plug in the values of CD, DE and CE

3. 3x + 15 = 6x (Combining like terms)

Rationale: Add 8 and 7 together

4. 15 = 3x (Subtraction Property of Equality)

Rationale: Subtract 3x from each side of the equation.

5. x = 5 (Division Property of Equality)

Rationale: Divide each side of the equation by 3).

6. CE = 6(5) (Substitution)

Rationale: Plugging in the value of x into "6x"

Learn more about Segment Addition Postulate on:

https://brainly.com/question/2134445

Plz help fast I will mark Brainlyist

Answers

Hey, here it is!!
Can u give me a brainliest answer??

m
Hope it helpes!!!

what is 24x + 4 = 52​

Answers

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

PLZ HELP DUE SOOOONNNN (solve for z).

Answers

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70

Answers

Answer:

the answer is B. x=75 y=68

Answer:

B. x = 75, y = 68

Step-by-step explanation:

An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?

Answers

Answer:

$480

Step-by-step explanation:

400 × .20 = 80

the retailer got an extra 20% or $80 for the machine.

$400 + $80 = $480

The customer paid $480 for the washing machine.

i’ll give you brainliest, thank you sm

Answers

Answer:

C. (2,7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)

Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation

For instance, for A (-1, 5) we would plug in 5 for x and -1 for y

Now we have -1 = 3(5) + 1

Multiply 3 and 5

-1 = 15 +1

Add

-1 = 16

The numbers on each side are not equal so this is not the answer

Now for B (10,3)

We do the same thing, plug in the numbers

3 = 3(10) + 1

Multiply

3 = 30+1

3 = 31

This choice is false as well

Option C (2, 7)

Plug in the numbers

7 = 3(2) + 1

Multiply

7 = 6+1

Add

7 =  7

Thus C is the answer as it is the same number on both sides~!

Hope this helpsss! :D

What is 2 and 2/3 x 5

Answers

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

I need help with finding the slope.

Answers

Answer:

The slope is -2

Step-by-step explanation:

what is -7/12 divide 1/7?
PLZ show work!!!!

Answers

Answer:

Step-by-step explanation:

When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)

-7/12 divided by 1/7 =

-7/12 multiplied by 7/1=

-49/12

Simplify.

What is the answer to n?

Answers

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

What is median of a triangle?

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

Learn more about median of a triangle here

https://brainly.com/question/2272632

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Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

Answers

it is a function
since there is one value of Y for every value in ask this relation is a function

PLEASE HELPP IM BEGGING. Which quadrant is point Fin?
A) 1
B) 11
D) IV

Answers

Answer:

in the forth qadritic ( iv) please mark me

Answer:

4th quadrant

Step-by-step explanation:

As point F has coordinates x positive and y negative

it lies in 4th quadrant


©
Make x the subject of the formula
y = mx – C

Answers

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

Help with Math will give Brainless to people who get it write the test shows me!!!

Answers

Answer:

(2,1)

Step-by-step explanation:

Divide by 3

(6,3)/3 = (2,1)

equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Answers

Answer:

y=1/3x+5 hope it helps you

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