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° Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. m∠2 = m∠3 Subtraction Property of Equality
5. ∠2 ≅ ∠3 Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
32+33=65
60/2 is 30, so they have to be in their thirties. Then 2+3=5, therefore they must be 32 and 33
Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :
In this example, we have 
= 36 (the first term in the sequence) and
r = 
(the rate in which the sequence is changing).
Knowing what the values for r and are, now we can solve.
= 
= 54 ·
Therefore, the formula to find the nth term of the given sequence is
54 ·
Answer:
1xgr7`0ryu932
Step-by-step explanation:
6(2)+3y=15
12+3y=15
-12 -12
3y=3
3y/3 3/3
y=1
6(5)+3y=15
30+3y=15
-30 -30
3y=-15
3y/3 -15/3
y= -5
