If two lines are intersected by a transversal, and the alternate interior angles are equal, then the lines are parallel.
Conversely, if two lines are parallel, then the alternate interior angles formed by the transversal are equal.
So, Ray can made the conclusion that l and m are parallel because alternate interior angles are equal since m∠3 = m∠6.
Answer: the trip (one-way) that Alan made on Saturday was 63 miles.
Step-by-step explanation:
Let x represent the distance of the trip that Alan made on Saturday.
Let t represent the time that it took Alan to make the trip on Saturday.
On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend.
Distance = speed × time.
Therefore, distance travelled on Saturday would be
x = 36 × t = 36t
On Sunday, he traveled East along main roads averaging 60 mph to visit his mother. The trip to visit his mother was 24 miles longer and took 18 minutes(18/60 = 0.3 hours) less. This means that the distance travelled would be
x + 24 and the time spent would be t - 0.3 hours.
Distance travelled on Sunday would be
x + 24 = 60(t - 0.3)
x + 24 = 60t - 18 - - - - - - -- - - 1
Substituting x = 36t into equation 1, it becomes
36t + 24 = 60t - 18
60t - 36t = 24 + 18
24t = 42
t = 42/24 = 1.75
x = 36t = 36 × 1.75
x = 63 miles
Answer:
b. A year and a half
Step-by-step explanation:
First, we can find the total cost

Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.
months
This is very close to 36 months, which is <u>A year and a half</u>.
Answer:
i do no
Step-by-step explanation: