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Luden [163]
2 years ago
9

If y varies directly with x, find the missing value below. (2, -34) and (x, 85)

Mathematics
1 answer:
DedPeter [7]2 years ago
8 0

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

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Answer:

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DE || AC   [Given]

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Line segment  AB is transversal that intersects two parallel lines.  [Conclusion from statement 1.]

Corresponding angles theorem: two parallel lines are cut by a transversal, then the  corresponding angles are congruent.

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Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.

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Similar triangles are triangles with equal corresponding angles and proportionate side.

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therefore, the missing statement and the reasons are

Statement                                                                   Reason

3.\angle BDE \cong \angle BAC      Corresponding angles theorem

and  \angle BEC \cong \angle BCA        

5. \triangle ABC \sim \triangle DBE   AAA similarity postulates    

6. BD over BA                                                    Definition of similar triangle



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