Lily takes a train each day to work that averages 35 miles per hour . on her way home her train ride follows the same path and averages 45 miles per hour . if the total trip takes 2.5 hours , what equation can be used to find n, the number of miles lilly's homes is for work

49.2 miles

Step-by-step explanation:

The distance remains the same.                        d

The time spent on the outbound trip is t1 =

                                                                         35 mph

and that on the inbound (return) trip is

                                                                              d

                                                                t2 =

                                                                         45 mph

We combine these two fractions and set the sum = to 2.5 hours:

d(1/35 + 1/45) = 5/2

We wish to solve for d, the distance between home and work.

The LCD of 35, 45 and 2 is 630.

1/35 becomes 18/630; 1/45 becomes 14/630, and 5/2 becomes 1575/630.  Then we have the simpler equation   d(18 + 14) = 1575, or

d(32) = 1575, and d is then

d = 1575/32 = 49.2 miles

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.

answer: 4 (:

step-by-step explanation: