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.
Answer:
3
Step-by-step explanation:
The solution to a system of equations is the intersection point of two or more lines on a graph.
In this case, we see that at (1, 3)
Remember that this question is asking for the y intercept, not the full coordinates or the x intercept.
We know that the full coordinates are (1, 3), or (x, y), and since we need y, we know the y cooridnates are 3, not 1, since this is x.
So the first answer, A, is correct.
Hope this helps!
Answer:
d
Step-by-step explanation:
Given
12
+ 6x³ + 8x² ← factor out 2x² from each term
= 2x²(6x³ + 3x + 4) → d
Answer:
x = 33
Step-by-step explanation:
sin 29° = 16/x
x = 33
Hope this helps!
There are 3 images with full explanation