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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Step-by-step explanation:

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?

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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 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

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√125 = √length^2

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Approximately

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Step-by-step explanation:

I hope this help.

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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]

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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

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°
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Dm21 + m26 = m 27+ m24

Answers

Answer:

2, 3 , 5/6, b

Step-by-step explanation:

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Answers

2

1

3

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Answer:

3

Step-by-step explanation:

BC

AC

BA

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

Answers

Answer: 9 sq. ft

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A = 3²

A = 9

Plz mark brainliest:)

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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

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Step-by-step explanation:asked Siri

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Answer:

Step-by-step explanation:

6 significant digits

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Answers

y = 12
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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

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

Pia: 0.75*9 = 6.75 ft

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Have a good day/night

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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

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2 pieces of (1 3/5) red yarn

1 piece of (2 1/2) green yard

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Answers

C = 2.8
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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.

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Apply cross multiplication

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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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Answers

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

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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.

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Answers

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Step-by-step explanation:

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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! :)~

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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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Answers

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Answers

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Answer:

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Step-by-step explanation:

Savannah filled
up
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country. The car uses 1.5 gallons of gas for every hour driven and the capacity of the
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0
1
llll
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Answers

Answear:

G=T hope dissssssssss helps

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Answers

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Step-by-step explanation:

I am smart

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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

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