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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Answer:
-3(3)-6=-15
Step-by-step explanation:
Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let 
be the number of widgets sold and 
be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:
We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the company sold 100 widgets.
Substitute in equation (1):
Therefore, the company sold 250 gizmos.
The gcf would be 12 because both 12 and 36 can be divided by 12 and it is the highest number
