The blanks in this two-column proof should be filled as follows:
<u>Statements Reasons</u>_______________
m∠1 = m∠3 Given
m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate
m∠ABE = m∠3 + m∠2 Substitution Property of Equality
m∠CBD = m∠3 + m∠2 Substitution Property of Equality
m∠ABE ≅ m∠CBD Transitive Property of Equality
<h3>What is the Angle Addition Postulate?</h3>
In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.
This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.
Read more on Angle Addition Postulate here: brainly.com/question/24746945
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Yes, I will list acute first (<90) and obtuse second (>90) and they need to add to 180
10 and 170
20 and 160
30 and 150
40 and 140
50 and 130
60 and 120
70 and 110
80 and 100 and so on
Answer:
Inconsistent
Step-by-step explanation:
A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.
From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.
Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.
Therefore, the system is inconsistent.
Hence, third option is the correct option.
2.385 can be written as 2385/1000, which is equivalent to 477/200. As a mixed number it is writte as 2 77/200. Hope I helped!
Answer: There are 108 hammers, and there are 36 screwdrivers. 36×3=108·
Step-by-step explanation: We know that there are more hammers than screwdrivers, so there are 36 screwdrivers but there are 3 times as many hammers so we multiply 36 by 3 to get 108.
