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neonofarm [45]
3 years ago
14

Y varies directly as x . If x = 6 then y = 18. Find the constant of variation.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

<u>Answer</u>

3


<u>Explanation</u>

Y varies directly as x

Y ∝ x Inserting constant of variation, k,

Y = kx

k = Y/x

  = 18/6

  = 3

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The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares
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<h3>Answer: 100 meters</h3>

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The complete proof is:

Statement                                                   Reason

∠WZX ≅ ∠WZV                                          Given

∠WZX and ∠WZV are a linear pair           Definition of a linear pair

m ∠WZX + m ∠WZV = 180°                        Linear pairs theorem

m ∠WZX + m ∠WZX = 180°                        Substitution

m ∠WZX = 90°                                            Subtraction property of equality

WY ⊥ VX                                                     Definition of perpendicular lines

From the question, we are to complete the proof by dragging the word choices to supply the missing statements and reasons

Studying the given diagram and applying the proper theorems,

The complete proof is:

Statement                                                   Reason

∠WZX ≅ ∠WZV                                          Given

∠WZX and ∠WZV are a linear pair           Definition of a linear pair

m ∠WZX + m ∠WZV = 180°                        Linear pairs theorem

m ∠WZX + m ∠WZX = 180°                        Substitution

m ∠WZX = 90°                                            Subtraction property of equality

WY ⊥ VX                                                     Definition of perpendicular lines

Learn more on Proof of theorems here: brainly.com/question/11246427

#SPJ1

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