Answer:
60
Step-by-step explanation:
60 ÷ 2 = 30
60 ÷ 3 = 20
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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: Yes
Step-by-step explanation: As long as they are 1 or above, 1 will be greater. If you have a negative, it would be a no.
Answer:
84/6=14. Each side is 14 because there are 6 sides to a hexagon.
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide the whole equation by 3
x²- 11x + 18 = 0
Sum = -11
Product = 18
Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}
x² - 2x - 9x + -9 * -2 = 0
x(x - 2) - 9(x - 2) = 0
(x-2)(x-9) = 0
x - 2 = 0 ; x - 9 = 0
x = 2 ;x = 9
Lesser x = 2
greater x = 9