Manuel traveled 31 hours nonstop to Mexico, a total of 2,300 miles. He took a train part of the way, which averaged 80 mph, and then took a bus the remaining distance, which averaged 60 mph. How long was Manuel on the train?

he was on the train for 22 hours.

Step-by-step explanation:

Let t represent the time that Manuel spent on the train to Mexico.

Manuel traveled 31 hours nonstop to Mexico. This means that the time he spent on the bus is (31 - t) hours

Distance = speed × time

He took a train part of the way, which averaged 80 mph. This means that the distance he traveled on the train is 80t

Then, he took a bus the remaining distance, which averaged 60 mph. This means that the distance he traveled on the train is 60(31 - t)

Since the total distance covered is 2300 miles, it means that

80t + 60(31 - t) = 2300

80t + 1860 - 60t = 2300

80t - 60t = 2300 - 1860

20t = 440

t = 440/20

t = 22

unless if u could do my questions, if not i wouldn't want to

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it