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

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

your answer is

a.

5

step-by-step explanation: