EXPLANATION: By definition two lines are said to be parallel when the distance between two lines is same when measured from any point on one line.
However the criteria for intersection is that the distance between two lines should change and eventually should change to zero at intersection point.
Step-by-step explanation:
.
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
Answer:
Option A is correct.
Step-by-step explanation:
We are given the expression:
w(x) = (x+125)^1/3
We need to find w(50)
Putting x = 50 in the above equation
w(x) = (x+125)^1/3
w(50) = (50+125)^1/3
w(50) = (175)61/3
w(50) = 5.59
w(50) = 5.6
So, Option A is correct
Answer:
Speed of river's current = 5 mph
Step-by-step explanation:
Let 'd' be the distance covered
Let x be the speed of the rivers current
Speed upstream = 15-x
speed downstream = 15+x
Time = distance / speed
time upstream = 
time downstream = 
the ferry trip upstream takes twice as long as its return trip downstream
= 
divide both sides by d
= 
cross multiply
Add 2x on both sideds
subtract 15 from both sides and divide by 3
x=5
Speed of river's current = 5 mph
Kevin ran 8 miles rounded to the nearest tenth
