Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. ∠1 and ∠2 are supplementary Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° (1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. (3) m∠2 = m∠3 Subtraction property of equality
5. ∠2 ≅ ∠3 (4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.
Is there like a pic for it
Answer:
35 = a
Step-by-step explanation:
using the law of logarithms
• 
x = n ⇔ x = 
= 35 ⇒ 35 = a
Answer:
![d = \sqrt[2]{34}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%5B2%5D%7B34%7D)
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
<em />
<em> </em>
Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
Simplify:
![d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B136%7D%20%3D%20%5Csqrt%7B2%20%2A%202%20%2A%202%20%2A%2017%7D%20%20%3D%20%5Csqrt%5B2%5D%7B17%20%2A%202%7D%20%3D%20%5Csqrt%5B2%5D%7B34%7D)
is your answer.
~
Answer:
103
Step-by-step explanation:
108+85+94+103+112+115+98+119+126+105+82+89=1236
1236/12=103
