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.

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Related Questions

Fred buys flags from a manufacturer
for $12.50 dollars and then sells
them in his store for a 26% markup.
What price do his customers pay for
a flag?

Answers

Answer:

15.75

Step-by-step explanation:

26%of12.5

=12.5*26/100

=3.25

customers pay for a flag is 3.25+12.5=15.75

-8 - (-3) find the sum

Answers

Answer:

Step-by-step explanation:

-5, two minus’s make a plus

(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.​

Answers

75 ≥ 2s + 5l

Since the seating cannot be more than 75 people, it is less than or equal to 75

Answer:

75 ≥ 2s + 5l

75 = guests

2 is = amount of people per small table

5 is = amount of people per big table

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.

28 - 16 = 12 students

40 - 28 = 12 students.

The athletic department raised $14,533 to buy new football uniforms if each uniform costs $258 how many uniforms can they buy

Answers

Answer:

56 uniforms

Step-by-step explanation:

Available amount = $14533Cost of each uniform = $258

Number of uniforms can be bought:

14533/258 = 56 (rounded down)

Amount to be spent:

56*258 = 14448

Remaining amount:

14533 - 14448 = 85

what is the mass of 18 crayons

Answers

Answer:144 grams

Step-by-step explanation:normal crayons usually weigh 9g

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.

Please help! Also dont send any links; it doesn't work for me

Answers

Answer:

Step-by-step explanation:

-1 to 0 is divided in four parts.

similarly 0 to 1 is divided in four parts

so each fraction on either side is 1/4 onthe right of 0 and -1/4 on the left of 0.

A is 2 parts on the right of 0,A=2×1/4=1/2=0.5

Bis 1 part left of 0,B=1×(-1/5)=-1/5=-0.2

A half gallon of milk costs $1.89. Based on this price, about how much would 12 gallons of milk cost?

Answers

Answer:

45.36

Step-by-step explanation:

pleas mark brainlest

Answer:

$22.68

Step-by-step explanation:

$1.89 times 12

Select all the pairs of points so that the line between those points has slope 2/3.

Answers

B, (0,0)(3,2)

C, (1,5)(4,7)

D, (-2,-2)(4,2)

All of these ordered pairs have a slope of 2/3, by way of the slope formula.

The slope of option B, C and D are equal to 2/3.

The given slope is 2/3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

A) Using (0, 0) and (2, 3) we get slope as

Now, slope = (3-0)/(0-2)

=3/2

B) Using (0, 0) and (3, 2) we get slope as

Slope = (2-0)/(0-3)

= 2/3

C) Using (1, 5) and (4, 7) we get slope as

Slope = (7-5)/(4-1)

= 2/3

D) Using (-2, -2) and (4, 2) we get slope as

Slope =(2-(2))/(4-(-2))

= 4/6

= 2/3

E) Using (20, 30) and (-20, -30) we get slope as

Slope =(-30-30)/(-20-20)

= -60/(-40)

= 3/2

Therefore, the slope of option B, C and D are equal to 2/3.

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0.0346 written in standard form​

Answers

Answer:

3.46x10-2

×

10

2

3.46

×

10

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

a

×

10

n

2

2

−−−−−−−−−−−−

where

1

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

then n is positive

move to the left ←

then n is negative

0.0346

=

3.46

×

10

2

xin hãy giúp ekmmm plllllllllllllllllllllllllllllllllllllll!

Answers

57485743i753i457394574930

James threw a flying disk from a height of 4 feet above the ground. The disk travels a horizontal distance of 30 feet before falling to the ground. the height of the disk, in feet, at a distance of x feet from james, is modeled on the graph.

the domain represents the _____ the flying disk. The range of this function is [___, ___]. for this function, the range represents the flying disk’s _________

Answers

Answer:

the domain represents the horizontal flying of the disk. The range of this function is [0, 7]. For this function, the range represents the flying disk's possible heights

which temperature is lower -6 or 3

Answers

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

What series of transformation will not map figure H onto itself

Answers

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

....2nd transformation = reflection over y = -x + 2 will map vertices into points ....

These points are not the vertices of the initial square.

I hope it helps.

Write 0.012 as a fraction in simplest form.

Answers

Answer:

3/25

Step-by-step explanation:

Remove The decimal,

= > 0.012 = 12/100

= > 3/25...ans

Hope it Helps you!!

For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc

Answers

Answer:

the answer is c

Step-by-step explanation:

cos30 = sin60

then cos30 - sin 30 = 0

c is the only choice which can satisfy in the problem

Suppose the area of a triangle is 36 square inches. The height of the triangle is 12 inches. What is the length of the base of the triangle? PLSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEE

Answers

Answer: The base is going to be 6 inches.

Step-by-step explanation:

So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2

32*2=72 Then to find the missing length, we divided the area by 12 which is 6.

what is the answer too 2y-3=-5

Answers

2 − 3 = −5

First we need to Add 3 to both sides of the equation:

2 − 3 + 3 = −5 + 3

Then we simplify:

2 = −5 + 3

 2 = −2

Now we divide both sides of the equation by the same term:

2 / 2 = −2 / 2

Final answer: = −1

I hope this helps!

Answer:

Y= - 1

Step-by-step explanation:

2y-3= - 5

  +3    +3

   2y= -2

   /2    /2

Y= -1

Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.

Step 2: Add 3 to -5 which would be -2

Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y

Step 4: Divide 2 form -2 and you get -1

Let me know if you have any questions and I hope this helps

What is 100,000×1,000,000

Answers

Answer:

100,000 × 1,000,000 = 1.E11

Answer:

100000000000

Step-by-step explanation:

if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

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I need help I’m revising for a test and l don’t understand this question please help!

Answers

Answer:

- 5 ≤ x < 3

Step-by-step explanation:

The lower limit has a solid circle at - 5

This means that x can equal - 5

The upper limit has an open circle at 3

This means that x cannot be equal to 3

The inequality represented by the diagram is then

- 5 ≤ x < 3

cost $ 99.99 Markup rate 10 %
!!!!!!!10 POINTS TO WHO EVER ANSWER I WILL BE GIVING MORE ON THE NEXT QUESTION!!!!!!!

Answers

Answer: %0.00100010001

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D i think sorry if wrong

Step-by-step explanation:

7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Answers

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Can someone help? Will give brainly if correct!

Answers

Answer:

7.03, 6.75, 6.72, 6.08, 6.4

Step-by-step explanation:

please help me with this for a brainly plus give explaantion on how you got that answer

Answers

D is the correct answer

SOMEONE, PLEASE HELP!!! I'll mark brainliest for the fastest, correct answer. I'm giving 15pts!

Evaluate P(6, 2).

Answers

Answer: Permutation is 30

Step-by-step explanation:

PARALLEL PERPENDICULAR OR NEITHER

Answers

Neither. They cross through each other (meaning they’re not parallel) but it doesn’t make a 90 degree angle so it’s not perpendicular


Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo

Answers

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

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