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.

Learn more about angle here: https://brainly.com/question/21103473


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Step-by-step explanation:

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Answers

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Answers

Answer:

The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445

Step-by-step explanation:

Since we have given that

Amount he saved per month over the first 7 months = $35

Amount he saved per month over the next 5 months = $40

So, total saving by the end of the year is given by

\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}

35×7+40×5

=$245+$200

=$445

Hence, the expression shows the number of dollars he will have saved by the end of the year is given by

35(7)+40(5)=\$44535(7)+40(5)=$445


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Step-by-step explanation:

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Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.

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Write your answer in the space below.















2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.


Write your answer in the space below.















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What is scientific notation?

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.

1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.

The scientific notation is:- 2 x 10²⁷ kg.

2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.

The scientific notation is:- 3.30 x 10²³ kg.

Divide Jupiter's mass by the mass of mercury.

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Jupiter / Mercury = 5,751.51

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