The properties or relationship between the angles m∠1, m∠2, and m∠3 can be used to determine the statement that must be true
The correct option that gives the statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°, is the first option
A. m ║ n
Reason:
Which statement must be true to prove that m∠1 + m∠2 + m∠3 = 180°?
A. m ║ n
B. m∠1 + m∠2 = 180° - m∠3
C. m∠1 + m∠2 = 90°
D. m∠1 = m∠2 = m∠3
Given that m∠1 + m∠2 + m∠3 = 180°, we have;
m∠ACD + m∠2 + m∠3 = 180° by angles on a straight line
Therefore;
m∠ACD = m∠1 by addition property of equality
m∠ACD ≅ m∠1 by definition of congruency
m∠ACD and m∠1 are alternate interior angles formed between lines <em>m</em> and <em>n</em> and their common transversal AC
Which gives;
<em>m</em> ║ <em>n</em>, by alternate interior angles theorem which states that alternate interior formed between parallel lines are congruent
Therefore;
The statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180° is <u><em>m</em></u><u> ║ </u><u><em>n</em></u>
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Answer:
D
Step-by-step explanation:
The correct answer would be A.
We can immediately eliminate C and D because they have the slope listed as 2 rather than -2.
Because we're looking for the line that passes through (1, 5), we know that the y-intercept has to be 7, because from (0, 7) we get to (1, 5) when we apply the slope of -2.
Thus, the answer is A.
Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function : 
<u>See the attached figure.</u>
The zeros of the denominator at x = 0
The domain is: (-∞,0)∪(0,∞)
<u>The range</u> of the function is the domain of the inverse function of f(x)
y = 3/(4x) - 4
y + 4 = 3/(4x)
4x = 3/(y+4)
The zeros of the inverse function:
4(y+4) = 0
y + 4 = 0
y = -4
∴ The range is (-∞,-4)∪(-4,∞)
So, the answer is {y | y > –4} ∪ {y | y < – 4}
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<u>Note</u>: If the given function is : 
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
The correct answer is: 17280 <span>
cubic inches</span>
Explanation:As we are going to convert bigger unit (feet) into small unit (inches), we will need to multiple 10 with
as there are 12 inches in 1 foot and the unit is in cubic form, therefore, we would need to take the cube of 12. Mathematically we can write it as:
<span>cubic inches
Hence the correct answer is </span>17280 cubic inches.
