Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. 
⊥ 
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and m∠SWT = 90°, therefore, the lines and are perpendicular to each other.
Step-by-step explanation:
1.
1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.
1% of 500 = 5
5 × 8 = 40
40 × 2 = 80
2.
1% of 1000 = 10
10 × 5 = 50
50 × 3 = 150
3.
12 months = 6%
6/12 = 1 month
0.5 = 1 month
0.5 × 9 = 4.5 (the amount of interest for 9 months.)
800 × 4.5% = 36
4.
12 months = 7%
7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)
7/12 x 8 = 4.666667 or 4.7 rounded.
1200 × 4.7% = 56.40
Answer:
Step-by-step explanation:
x = 15 cent stamps
y = 20 cent stamps
I will be using these equations
x + y = 16
0.15x + 0.20y = 3
x = 16 - y
0.15(16 - y) + 0.20y = 3
2.40 - 0.15y + 0.20y = 3
-0.15y + 0.20y = 3 - 2.40
0.05y = 0.60
y = 0.60/0.05
y = 12.......there were 12 twenty cent stamps
x + y = 16
x + 12 = 16
x = 16 - 12
x = 4.....there were 4 fifteen cent stamps
no change is received
Answer:
a
they are opposite sides of opposite angles
X - the number
The algebraic expression:
The solution:
