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:
<h2>
489.84 units³</h2>
Step-by-step explanation:
Given,
Radius ( r ) = 6
Height ( h ) = 13
Volume of cone = ?
Now, Let's find the volume of cone:
plug the values
Evaluate the power
Calculate
units³
Hope this helps..
Best regards!!
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6
Answer:
13x+14
Step-by-step explanation:
2(3x+4)+6+7x
Distribute:
=(2)(3x)+(2)(4)+6+7x
=6x+8+6+7x
Combine Like Terms:
=6x+8+6+7x
=(6x+7x)+(8+6)
=13x+14
