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.
I=PRT
I=interest
P=initial amount
R=rate in decimal
T=time in years
given
P=5523
R=4.99%=0.0499
T=7
I=(5523)(0.0499)(7)
I=1929.1839
round
$1929.18 interest earned
The answer to this question would be: <span>rotating it 90° counterclockwise.
When you rotate up an object 360</span>°, it will revert into its original places. That mean, if you rotate it more than 180°, then rotating it to the opposite direction will be easier/closer than you do. In this case, you rotate the polygon 270° so it will equal to 360° - 270°= 90° of opposite direction, which means counterclockwise. The quadrant shouldn't have any meaning in this question.
Answer:
2.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
3
,
5
)
Equation Form:
x
=
3
,
y
=
5
3.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
2
,
8
)
4.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
2
,
−
3
)
Step-by-step explanation:
Answer:
558 weeks
Step-by-step explanation:
let x = number of weeks
this equation can be derived from the question
2 + 1x = 560
collect like terms
x = 560 - 2
x = 558
