Mathematics High School

Given kite ABCD  with  AD=AB,  AO=3, and BD=8. Find AD.


This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD

Answers

Answer 1

Answer:

AD = 5

Step-by-step explanation:

Given:

A kite ABCD with following dimensions:

AD = AB

AO = 3 and

BD = 8

To find:

AD = ?

Solution:

Kindly refer to the attached image for the figure of given dimensions.

In a kite, the following properties hold true:

1. The diagonals of a kite are perpendicular to each other.

2. The longer diagonal(along the vertex angles) bisects the shorter one.

Using above properties:

Looking at the [tex]\triangle AOD:[/tex]

[tex]\angle AOD=90^\circ[/tex]

AO = 3

OD = 4

We know that, Pythagoras theorem hold true in every right angled triangle.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]AD^{2} = 4^{2} + 3^{2}\\\Rightarrow AD = \bold{5}[/tex]

Given Kite ABCD With AD=AB, AO=3, And BD=8. Find AD.This Is To Find The Missing Side With Vertex Angles
Answer 2

The value of AD should be 5.

Calculation of the value of AD:

Since kite ABCD  with  AD=AB,  AO=3, and BD=8

Here angle AOD = 90 degrees

And, AO = 3 and OD = 4

So, here we use the Pythagorean theorem

[tex]= \sqrt 3^2 + 4^2\\\\= \sqrt{9 + 16} \\\\ = \sqrt{25}[/tex]

= 5

Hence, The value of AD should be 5.

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Related Questions

Farrah, Alice, and Pia each bought between 5 and 8 feet of yarn. Farrah bought 7 pieces of yarn. Alice bought 6 pieces of yarn. Pia bought 9 pieces of yarn. The lengths of yarn are given below.

Drag yarn to the box below each person's name to show what they could have bought.

Answers

Answer:

Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Alice:  3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Pia: 9 pieces of (3/4) blue yarn

Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft

Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft

Pia: 0.75*9 = 6.75 ft

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Step-by-step explanation:

Farrah

5 pieces of (3/4) blue yarn,

1 piece of (1 3/5) red yarn,

1 piece of (2 1/2) green yard

Alice

3 pieces of (3/4) blue yarn,

2 pieces of (1 3/5) red yarn

1 piece of (2 1/2) green yard

Pia

9 pieces of (3/4) blue yarn

i need help on math

Answers

x=2
2x-3=-x+3

add three to both sides
add 1x to each side
should be left with 3x=6
divide both sides by 3 to get x alone
your answer then is x=2

explain how to convert decimal form into fractional form​

Answers

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Answer:

[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]

how many rays can you name using the points shown?​

Answers

Answer:

3

Step-by-step explanation:

BC

AC

BA

Can someone help me with the equation please?

Answers

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

Pls someone help me please

Answers

2

1

3

5/8 = 0.625

1/3 = 0.3333...

17/24 = 0.70833333

An is a mathematical statement that shows two expressions are equal using an equal sign.

Answers

No! Because a mathematical statement is actually a statement that is either true or false not a statement that shows two expressions are equal using an equal sign!

Answer:

fix the awser

Step-by-step explanation:

how many significant digits are there in 074.0030

Answers

Answer:

Step-by-step explanation:

6 significant digits

only the first zero is not counted.

32x – 14x = 288

with solution please and thank you

Answers

Answer:

x=16

Step-by-step explanation:

32x−14x=288

Step 1: Simplify both sides of the equation.

32x−14x=288

32x+−14x=288

(32x+−14x)=288(Combine Like Terms)

18x=288

18x=288

Step 2: Divide both sides by 18.

18x18=28818

x=16

Answer: x = 16

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Simplify 32[tex]x[/tex] − 14[tex]x[/tex] to 18[tex]x[/tex].

18[tex]x[/tex] = 288

Step 2: Divide both sides by 18.

[tex]x = \frac{288}{18}[/tex]

Step 3: Simplify [tex]\frac{288}{18}[/tex] to 16.

[tex]x[/tex] = 16

~I hope I helped you! :)~

Savannah filled
up
her car with gas before embarking on a road trip across the
country. The car uses 1.5 gallons of gas for every hour driven and the capacity of the
gas tank is 15 gallons. Make a table of values and then write an equation for G, in
terms of t, representing the number of gallons of gas remaining in Savannah's gas
tank after t hours of driving.
Number of Hours Driven Number of Gallons Remaining in the Tank
0
1
llll
2
3

Answers

Answear:

G=T hope dissssssssss helps

Matrix elements! Can someone help

Answers

Answer:

2

Step-by-step explanation:

The number is in the fifth row  and first column so 2

which expressions are equivalent to -56z+28?
choose 2 correct answers:
a: 1/2 x (28z + 14)
b: (-1.4z + 0.7) x 40
c: (14 -7z) x (-4)
d: (8z - 4) (-7)
e: -2(-28z -14)

Answers

Answer:

e

Step-by-step explanation:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords

ILL GIVE BRAINLY my bruh

Answers

The answer is would be c

A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for the land?

Answers

Answer:

The total amount of tax paid for the land was $126

Step-by-step explanation:

Proportions

The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:

0.7 / 100 =0.007

This factor can be used to obtain the tax charged for a given value of the land.

The plot of land of the question is valued at $18,000.

The tax charged is, then:

0.007*18,000 = 126

The total amount of tax paid for the land was $126

I have no idea what to do here please help

Answers

Answer:

m = 5

m = -3

m = 1/6

m = 2/7

m = -8/3

4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.

Answers

Answer:

hey! You have to use the trigonometric formula because it's a rectangle triangle:

(a^2)+(b^2)=(c^2)

(11^2)+(11^2)=(c^2)

√(242)=√(c^2)

15.56=c

So basically, the answer is D!

The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters

How to determine the length of the diagonal?

The side length of the square is given as:

l = 11 cm

The length of the diagonal is calculated using:

Diagonal = l * √2

This gives

Diagonal = 11 * √2

Evaluate

Diagonal = 15.6

Hence, the length of the diagonal AC is 15.6 centimeters

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It takes 12 men 5 days to complete a job
Work out how many days it would take 3 men to complete the same job

Answers

Answer: 8

Step-by-step explanation: i took the test

1.25 days would be taken for 3 men to complete the same job.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 12 men 5 days to complete a job

We have to find for how many days three men can complete the same job.

Let x be the time taken by 3 men to complete the job.

Formulate a proportional equation.

12/5=3/x

Apply cross multiplication

12x=15

Divide both sides by 12

x=15/12

both 15 and 12 are multiples of 3

x=5/4

x=1.25

Hence, 1.25 days would be taken for 3 men to complete the same job.

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the model shows the expression of 30+12 whitch expression is equivelent to this sum

Answers

40+2 is a answer to your problem

Answer:

6+5]4

Step-by-step explanation:

One-fourth of a number is 22. Find the number.

Answers

Answer:

5.50

Step-by-step explanation:

I am smart

If m27 = 55°, which of the following statements are true? Select all that apply.
2
3
4
5/6
8
A m26 = 55°
B
m25 = 135°
Cm21 + 24 = 250°
Dm21 + m26 = m 27+ m24

Answers

Answer:

2, 3 , 5/6, b

Step-by-step explanation:

c - 2.3 = - 5.1

C = ???

Answers

C = 2.8
-2.3 + 5.1 = 2.8

solve for x ! I need help

Answers

Answer:

x = 47°

Step-by-step explanation:

This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

Answer:

x=45.6

Step-by-step explanation:

(2x-2)+x+45=180

Combine like terms.

3x+43=180

Subtract 43 on both sides.

3x+43=180

   -43 -43

3x=137

Divide by 3 on both sides.

3x=137

/3   /3

x=45.6

(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:

Somebody please help me I’ll give you brainiest if you’re right

Answers

Answer: I belive the answer would be 18 the only number we have is 52 and 36 the other answers just don't make sense, I am only taking 9th grade but hey I try!

Step-by-step explanation:

The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden? Explain how you know in the work space provided.

Answers

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

what is 32% of 65?????????????????????????????????????

Answers

Answer:20.8 is the correct answer

Step-by-step explanation:asked Siri

Solve for y.
-2 = y – 14
-2

Answers

y = 12
bring -14 to the other side which makes it positive and then 14 - 2 is 12 so Y = 12

Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

learn more on exterior angles theorem here: https://brainly.com/question/13904180

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a ball is dropped from a height of 144 inches. it's hight on the 1st bounce is 72 inches. on the 2nd and 3rd bounce, the height of the ball is 36 inches and 18 inches, respectively. the heights from a geometric sequence. what is the height of the ball on the 6th bounce to the nearest tenth of an inch?

Answers

Answer:

[tex]2.25[/tex]

Step-by-step explanation:

[tex]the \: n {}^{th} \: term \: of \: a \: gs = {a(r)}^{n - 1} = \\ 72( 0.5) {}^{6 - 1} = 72 \times 0.03125 = \\ 2.25[/tex]

The length of one side of a square table is 3ft. What is the area of the table?

Answers

Answer: 9 sq. ft

The area of a square is:  A = a²

A = 3²

A = 9

Plz mark brainliest:)

Jake's solution to the equation −4(2x−3)=36 is shown below.

Answers

I just need points don’t kind me

Answer:

x=-3

Step-by-step explanation:

I hope this help.

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