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1 answer:
Answer:
The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word
Step-by-step explanation:
Please see attached drawing of the proof created with Microsoft Word
The two column proof can be presented as follows;
Statement Reason
Given
m∠3 + m∠4 = 180° Linear pair postulate
∠1 ≅ ∠3 Corresponding Angle Theorem
m∠1 + m∠4 = 180° Transitive Property
m∠1 and m∠4 are supplementary Definition of supplementary angles
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Answer: C. -3y+14
Step-by-step explanation:
Move 3y to ther right side.
So the answer is C. Because x = -3y+14.
Part 1
We are given
. This can be rewritten as 
.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
The values of x are
Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.
Part 3.
The first equation is
.
The second equation is
.
We have
Factoring, we have
Equating both factors to zero.
When the value of x is 6, the value of y is
When the value of x is -3, the value of y is
Therefore, the solutions are (6,38) or (-3,11)
We are given
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
The values of x are
Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.
Part 3.
The first equation is
The second equation is
We have
Factoring, we have
Equating both factors to zero.
When the value of x is 6, the value of y is
When the value of x is -3, the value of y is
Therefore, the solutions are (6,38) or (-3,11)