Math 9 Activity- 30 - 60 - 90 Right Triangle

using the given data from the figure, find for the indicated length of the sides of the triangle

1) AD= DC= AC=

Answers

Answer 1

Based on the given information that AD = DC = AC = a, we can conclude that the triangle is a 30-60-90 right triangle.

To prove that the triangle is a 30-60-90 right triangle, we can use the properties of this specific triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. Let's denote the length of the shortest side as "a". Then the other sides can be determined as follows:

The length of the side opposite the 30-degree angle is "a".

The length of the side opposite the 60-degree angle is "a√3".

The length of the hypotenuse (the longest side) is "2a".

Given that AD = DC = AC = a, we can conclude that the triangle is indeed a 30-60-90 right triangle.

To know more about right triangle:

https://brainly.com/question/3770177

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--The given question is incomplete, the complete question is given below " Prove 30 - 60 - 90 Right Triangle

using the given data from the figure, the indicated length of the sides of the triangle

AD= DC= AC= a"--

Math 9 Activity- 30 - 60 - 90 Right Triangleusing The Given Data From The Figure, Find For The Indicated

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Answer:

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It would have hollow circles on 2 and 5 and you would connect them

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Answer:

90 degrees

Step-by-step explanation:

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determine if JK and LM parallel, perpendicular, or neither .

Answers

Answer:

3 - Perpendicular.

4 - Parallel.

Step-by-step explanation:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{1-(-7)}{-4-(-10)} = \frac{8}{6} = \frac{4}{3}[/tex]

[tex]LM = \frac{-2-2}{-6-(-3)} = \frac{-4}{3}[/tex]

Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.

[tex]JK = \frac{-2-(-2)}{3-11} = \frac{0}{-8} = 0[/tex]

[tex]LM = \frac{-2-(-7)}{1-1} = \frac{5}{0} = 0[/tex]

Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.

Answers

Answer:

Yes these triangles ate similar.

Step-by-step explanation:

The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.

SPIRAL REVIEW - Find the value of the expression below.

96 ÷ 4² + (25×2) - 15 - 3

Answers

Answer:

38

Step-by-step explanation:

96/16  

+(25)(2)−15−3

=6+(25)(2)−15−3

=6+50−15−3

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=41−3

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Answers

Answer:

So the greatest common factor 10 and 1000 is 10.

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Think of a favorite dance move, such as the Running Man. Determine whether there is periodicity associated with this dance move.

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Answer:

I don't remember if Alan Walker can dance :/

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''

Answers

I’m not 100% sure so sorry if it’s wrong but I think it’s 3/2

Which statement describes the congruent triangles

Answers

Answer:

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Step-by-step explanation:

Answer:

A

Step-by-step explanation:

you have to line the angles up so the congruent sides lay on each other.


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Answers

Answer:

positive 4

Step-by-step explanation:

you first add the numbers in the numbers in the brackets

2+-3=-1

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Step-by-step explanation:

-4×(2+(-3) )

= -4×(2-3)

=-4×-1

= 4

3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.

Answers

The answer is A!
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Answers

Answer:

2.7

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx, and cosx.

Answers

Step-by-step explanation:

In the given triangle,

Perpendicular = d

Hypotenuse = e

Base = f

We need to find the values of sinx, tanx and cosx.

We know that,

[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],

We have, P = d, H = e and base = f

So,

[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]

Hence, this is the required solution.

Using the lengths given, the Trigonometry ratios of the right triangle are:

sin x = d/e cos x = f/etan x = d/f

Recall:

In a right triangle where we are given a reference angle, ∅, with three sides, we can solve the triangle using the Trigonometry ratios given as: SOH CAH TOA.

Given the following:

∅ = xOpposite = dHypotenuse = eAdjacent = f

Thus:

sin x = Opp/Hyp = d/e (SOH)

cos x = adj/Hypo = f/e (CAH)

tan x = Opp/Adj = d/f (TOA)

Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:

sin x = d/e cos x = f/etan x = d/f

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Answer:

h^4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır? ​

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si cardo bahyanbayansusb

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Answers

Answer:

x = 6

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

z=95

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m_4 =
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m25 =
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m26 =
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Answers

Answer:

m∠4 = 57 degrees

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Step-by-step explanation:

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Answer:

Every angle of Square = 90°

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=> 7x+3=45

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer: what does this say?

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: Factor 6a + 15
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Answer:

Corresponding

Step-by-step explanation:

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