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3 years ago

Which theorem is correct

Mathematics

2 answers:

kogti [31]3 years ago

5 0

Answer:

The SSS theorem

Step-by-step explanation:

Aleks [24]3 years ago

5 0

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

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Xy′ = √(1 − y2 ), y(1) = 0

Ulleksa [173]

Answer:

The particular solution is $y=\sin (\ln|x|)$ .

Step-by-step explanation:

The given differential equation is

$xy'=\sqrt {1-y^2}$

It can be written as

$x\frac{dy}{dx}=\sqrt {1-y^2}$

Use variable separable method to solve the above equation.

$\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx$

Integrate both sides.

$\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx$

$\sin^{-1} y=\ln|x|+C$ .... (1)

It is given that y(1)=0. It means y=0 at x=1.

$\sin (0)=\ln|1|+C$

$0=0+C$

$0=C$

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

$\sin^{-1} y=\ln|x|+0$

Taking sin both sides.

$y=\sin (\ln|x|)$

Therefore the particular solution is $y=\sin (\ln|x|)$ .

7 0

3 years ago

When D is placed on this square, what will the perimeter of the square be?

Semmy [17]

I can't see a square or a D given with your question.

But to find the perimeter you just have to add the surface of every side of the square.

8 0

3 years ago

What are the number of possible digits to round 1_9,644 to the nearest 100,000?

damaskus [11]

4 goes in the blank.

In math, if any number like that is 5 or higher, it rounds to the nearest tenth.

so for example, 4 would round down to 0, and 5 would round up to 10.

So with the 4, it Makes 149.6k, which rounds down to 100,000.

3 0

3 years ago

Read 2 more answers

Distance traveled in 3 hours at 35km/h

Ghella [55]

I hope this helps you

Distance = speed.time

Distance=35.3

Distance=105

8 0

3 years ago

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A cone has a diameter of 8ft and height of 3ft. What’s the volume?

stepladder [879]

Step-by-step explanation: