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Tpy6a [65]
3 years ago
7

Plz help me :((((((​

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

a and d = 32

Step-by-step explanation:

since ABC and DEF are similar m<A = m<D so you have the equation

5x + 12 = 8x

subtract 8x from both sides

5x + 12 -8x = 0

subtract 12 from both sides

5x -8x = -12

combine like terms

-3x = -12

devide by -3

x = 4

plug 4 into equation

5(4) + 12 = 8*4

20 + 12 = 32

32 = 32                        

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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

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<X + <Y + <Z =

+  + <Z =

<Z =  -

   =

<Z =

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

=  +

=  +

=  -

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x =

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Cos X =

          =

Cos X =

Tan X =

         =

Tan X =

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

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segment CB = 10

ii. segment AB = 2 x segment XZ

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segment AB = 11.18

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