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.
We can split this up into 3 rectangles. 2 vertical ones (8 x 3) and one horizontal one in the middle (5 x (8 - 5)
8 x 3 = 24
24 x 2 = 48
5 x (8-5) = 5 x 3 = 15
now add 48 + 15 = 63 cm^2
Answer:
1520
Step-by-step explanation:
Pela pergunta acima, sabemos que:
1 parcela mensal = 304
5 parcelas mensais = x
Multiplicação cruzada
x = 5 prestações mensais × 304/1 prestações mensais
= 1520
Portanto, o valor que ele pagou pelo dispositivo é 1520
Answer:
Its b.
Step-by-step explanation:
m < 3 = m < 4 (vertical angles)
m < 1 = m < 5 ( alternate angles)
Therefore the triangles are similar.
Answer:
n = 5
Step-by-step explanation:
Since this is a right triangle, we can use trig
tan theta = opp /adj
tan 30 = n / 5 sqrt(3)
5 sqrt(3) tan 30 = n
5 sqrt(3) * 1/ sqrt(3) = n
5 = n
