which of the following indicates that triangle QRS and triangle TUV are similar? Btw I need a valid step-by-step on how you do this, if not I'll report your answer, and assume you're doing it for the points!!

Answer:

[tex]A \approx 1.488[/tex]

Step-by-step explanation:

Por definición de razones trigonométricas, tenemos las siguientes identidades:

[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)

Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].

De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:

[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]

[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]

[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]

[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]

Por último, calculemos [tex]A[/tex]:

[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]

[tex]A \approx 1.488[/tex]

The perimeter of a square is equal to 4 times the side length.

=4

P

=

4

s

where

P

is the perimeter and

s

is the side length of the square.

If the side length of the square is 3−2

3

x

−

2

units, then let =3−2

s

=

3

x

−

2

The perimeter would be:

=4(3−2)

P

=

4

(

3

x

−

2

)

=4(3)−4(2)

P

=

4

(

3

x

)

−

4

(

2

)

=12−8

P

=

12

x

−

8

Therefore the perimeter of the square is: 12−8

12

x

−

8

units.

Regards,

. ℎ

A

a

r

o

n

M

.

C

h

a

o

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Arturo Ordonez-Hernandez, Associate Programmer/Analyst at Weber State University (2018-present)

Answered March 8

A square is an equilateral rectangle.

So, we know that, for a rectangle,

=2+2

P

=

2

l

+

2

w

For a square,

=

l

=

w

so,

=4=4

P

=

4

l

=

4

w

Therefore,

=4(3−2)

P

=

4

(

3

x

−

2

)

=12−4

P

=

12

x

−

4

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Len Fyfe, B.Ed. Mathematics & Physics, Chemistry, Maths, and Computer Science, Lakehead University (2005)

Answered March 4

side length is 3x-2

each of the four sides is the same length

P = 4(3x-2) factored form

P = 12x - 8 expanded form

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