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.
Answer:
The awnser is C
Step-by-step explanation:
Answer: 48 meters
we already know that one side is 50 m, so since it's a
rectangle you can multiply 50 by 2 which gives you 100. Know you have two sides left (which would be the same number) . You can do it easy and subtract 196 and 100 which gives you 96. Then, divide 96 by 2 and you get 48.
---- check: do 48(2)+50(2) it will give you 196
HOPE THIS HELPED
Answer:
15/8 hours .................
Step-by-step explanation:
Let L be Laura, and B be Ben. Then:
3L=1
5B=1
Next:
15L=5
15B=3
15(L+B)=5+3=8
15/8 (L+B)=1
ANSWER
(-2,-1)
(3,14)
EXPLANATION
The given system is


or

Equate both of them:

This implies that,


x=-2 or x=3
When x=-2, y=y=3(-2)+5=-1
(-2,-1) is a solution.
When x=3 , y=3(3)+5=14
(3,14) is also a solution.