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:
Step-by-step explanation:
The formula for finding the midpoint of two coordinates is expressed as;
M(X,Y) = 
Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.
For the X coordinate of the midpoint
X = x1+x2/2
X = -4+(-1)/2
X = -4-1/2
X = -5/2
X = -2.5
Similarly for Y:
Y = y1+y2/2
Y = 5+(-4)/2
Y = 5-4/2
Y = 1/2
Y = 0.5
Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)
The exception is if you are 60 days<span> late often which will certainly hurt your scores. Otherwise, one late payment should not cause long term damage. </span>90 days<span>late: This record will damage your credit scores significantly for up to </span>seven years<span>.</span>
Step-by-step explanation:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) + x) - 4 = 0
STEP 2
Checking for a perfect cube
2.1 x3-4x2+x-4 is not a perfect cube
<h3>Ans; x=4</h3>
Answer:
1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
12:45 - 12:30 = :15
15 minutes equates to 1/5 of the rides
So, we multiply 15 by 5 to find the total time taken to ride all the rides.
15 x 5 = 75
75/60 = 1.25
It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.
