- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
Answer: 5=rl
Step-by-step explanation:
![\qquad\qquad\huge\underline{{\sf Answer}}](https://tex.z-dn.net/?f=%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D)
Let's solve ~
Cost price for each Orange :
![\qquad \tt \dashrightarrow \: \dfrac{60}{200}](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A%20%5Cdfrac%7B60%7D%7B200%7D%20)
![\qquad \tt \dashrightarrow \:0.3 \: \: kobo](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A0.3%20%5C%3A%20%20%5C%3A%20kobo)
Now, Cost price for 8 oranges :
![\qquad \tt \dashrightarrow \:0.3 \times 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A0.3%20%5Ctimes%208)
![\qquad \tt \dashrightarrow \:2.4 \: \: kobo](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A2.4%20%5C%3A%20%20%5C%3A%20kobo)
And we have been given that selling price for 8 oranges is 12 kobo.
Therefore, the gain is :
![\qquad \tt \dashrightarrow \:12 - 2.4](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A12%20-%202.4)
![\qquad \tt \dashrightarrow \:9.6 \: \: kobo](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A9.6%20%5C%3A%20%20%5C%3A%20kobo)
Percentage gain is ~
![\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A%20%5Cdfrac%7B9.6%7D%7B2.4%7D%20%20%5Ctimes%20100)
![\qquad \tt \dashrightarrow \:4 \times 100](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A4%20%5Ctimes%20100)
![\qquad \tt \dashrightarrow \:400 \: \%](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3A400%20%5C%3A%20%20%5C%25)