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LiRa [457]
3 years ago
15

A. It is not possible to determine if the triangles are congruent

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

C. ∆ABD ≅ ∆CBD by the SSS Postulate

Step-by-step explanation:

We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.

The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.

From the diagram shown,

AB ≅ CB,

AD ≅ CD

BD = BD

We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.

Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate

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mezya [45]

Hello  Chrisd117991999.

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5 0
3 years ago
Please help... I have no clue
muminat

Answer:

OPTION C:  Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that:   $ \textbf{Sin A} =  \frac{\textbf{opp}}{\textbf{hyp}} $

and    $ \textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}} $

Given, Sin B = r and Cos B = s

⇒    $ Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h} $

⇒ $ \textbf{AC} = \textbf{rh} $

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$ Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h} $

⇒  $ \textbf{AB} = \textbf{sh} $

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$ Sin C = \frac{opp}{hyp} $

⇒  $ Sin C = \frac{AB}{BC} $

              $ = \frac{sh}{h} $

               = s

Sin C = s

$  Cos C = \frac{adj}{hyp} $

$ \implies Cos C = \frac{AC}{BC} $

⇒ Cos C = $ \frac{rh}{h} $

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0
3 years ago
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alina1380 [7]
Pretty sure it’s the fourth option
3 0
3 years ago
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<h2>Answer:</h2>

D. The Earth's surface would be much colder than it is.

<h3>Step-by-step explanation:</h3>

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3 0
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