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:
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]
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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Answers
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Step-by-step explanation:
You can find this by finding the value -2 on the graph (x axis) and find what the corresponding y value is! in this case, it is 3.
I hope this helps let me know if you have any questions!
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
A
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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GUYS WILL U PLS HELP ME I AM IN DESPERATE NEED OF iT!!!!!!!
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.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter'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.
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.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answers
Answer:
1)2 x 10^27 kg
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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.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Formula: cost per item = (total cost) ÷ (number of items)
A. 12 eggs for $3.
Cost per egg = $ (12÷3) = $4
So, Cost per egg = $4 .
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Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5
So, Cost per pound = $ 2.5
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So, Cost per roll = $ 0.5
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Answers
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Answers
Answer:
y=1/5x-1
Step-by-step explanation:
SI form is Y=mx+b
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Answers
Kyree can run ⅓ of a mile in 2 minutes. How long does it take Kyree to run 1 mile?
Answers
Answer:
6 mins
Step-by-step explanation:
1 = 3/3
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Find the value of p.
Answers
Answer:
The answer is 25/13
Step-by-step explanation:
Answer:
1.923=p If you are rounding you can round to 1.9
Step-by-step explanation:
We must simply get P alone.
1400 = 2p*52*7
First we can multiply the integers
1400 = 2p*364
To get P alone we can divide by 364 on both sides
1400/364 = 2p
3.846 = 2p
Divide by 2 on both sides
3.846/2 = p
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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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Answers
Answer:
The one that doesn't contain 75
Step-by-step explanation:
uhh don't know