#1 = 1/3
#2 = 5/6
#3 = 8/9
#4 = 6/7
#5 = 15/20
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles

Step 3: Angles forming a linear pair sum to 180°

Step 4: By transitive property of equality
step 2 = step 3

Step 5: By algebra cancel the common terms in both side.

Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
17. Its answer C i wil tell you the other one in a sec
A(t)=A0*(1/2)^(t/30)
where t=elapsed years
A0=initial mass at t=0.
120/143. 12 x 10 is 120, and 13 x 11 is 143. It is already in simplest form.