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Alenkasestr [34]
2 years ago
10

PLS BRANLIEST

Mathematics
1 answer:
Neko [114]2 years ago
8 0

Dilation is the process in which the dimensions of a given shape is increased or decreased by a scale factor. Therefore the answers to the questions are:

A. Since the dilation of triangle XYZ do not affect the measure of its internal angles, then the trigonometric ratios of respective internal angles are the same.

B. segment CB = 10

ii. segment AB = 11.18

From the given information in the question, triangle XYZ is an image of triangle ACB. In triangle XYZ, given that Sin X = ; it implies that its hypotenuse is 5.59, and the opposite side as 5. So that;

Sin X =

X =  0.8945

X  =

Thus,

<X + <Y + <Z =

+  + <Z =

<Z =  -

   =

<Z =

So then, the third side can be determined by applying the Pythagoras theorem.

=  +

=  +

=  -

  = 6.2481

x =

 = 2.49962

x = 2.5

Thus,

Cos X =

          =

Cos X =

Tan X =

         =

Tan X =

Therefore:

A. Considering triangles XYZ and ACB, the measure of their respective internal angles are the same.

i.e <X ≅ <A

   <B ≅ <Z

   <C ≅ <Y

So that the trigonometric ratios of respective internal angles are the same.

B. Given that triangle XYZ was dilated by a scale factor of 2, then the respective length of each sides of triangle ACB is twice that of XYZ.

Then,

i. segment CB = 2 x segment YZ

                    = 2 x 5

segment CB = 10

ii. segment AB = 2 x segment XZ

                       = 2 x 5.59

segment AB = 11.18

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Evgen [1.6K]

Answer:

It should take about 4.75 min.

Step-by-step explanation:

Hope this helps and could you mark me as the brainliest

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3 years ago
What are the slope and the y-intercept of the linear function that is represented by the graph?
Naddik [55]

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3 years ago
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Bond [772]

Answer:

The answer to your question is:

Domain: (-∞, ∞)

Range: [10, ∞)

Step-by-step explanation:

Data

Graph                                 y = 5x² + 3x + 10

Process

As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.

See the graph below.

Domain: are the possible values of the independent variable.

Range: are the reslunting values of the dependent variable.

Then

Domain : (- ∞, ∞)             It is an  open interval because -∞ and ∞ are

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Range : [10, ∞)                It is close because 10 is included.

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so the answer is 60
7 0
3 years ago
Read 2 more answers
Which represent the solutions
givi [52]
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