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 required proof is shown below.
Step-by-step explanation:
Consider the provided figure.
It is given that KM=LN
We need to prove KL=MN
Now consider the provided statement.
KM = LN Given
KM = KL+LM Segment addition postulate
LN = LM+MN Segment addition postulate
KL+LM = LM+MN Substitution property of equality
KL = MN Subtraction property of equality
The required proof is shown above.
Answer:
water is Arthur's favorite drink
Step-by-step explanation:
The three drinks are lemonade, milk, and water.
If Paige's drink is a dairy product, milk would be the only answer there.
If Frank's drink comes from a fruit, lemonade would be the answer. Lemonade is made from lemons and sugar.
Water is the only choice left and Arthur is the only person who doesn't have a drink.
So, Arthur's favorite drink would be water.
Answer is 15 miles per hour
