The millers must make a 70-mile trip to visit their grandparents. pat miller believes in driving at a steady rate of 50 miles per hour.
(a) how much time will it take pat to make the trip?
(b) how many miles will the millers travel in 18 minutes?
(c) write an expression for the number of miles they will cover in t minutes of driving. (d) after t minutes of driving, how many miles remain to be covered?

(a) 1.4 hours or 1 hour 24 minutes.

(b) 15 miles.

(c) (5/6)t  miles.

(d) 70 -  (5/6 t  miles.

Step-by-step explanation:

(a) speed =  distance / time

50 = 70 / t

t = 70/50

t = 7/5

t = 1.4 hours.

(b)  18 minutes = 18/60 = 0.3 hours.

50 = distance / 0.3

distance = 50 * 0.3

= 15 miles.

(c). 50 = d /  (t/60)

50 = 60d / t

60d = 50t

d = (5/6) t  miles.

(d)  Number of miles remaining after t minutes =  70 - (5/6) t  miles.

i belive those are the ones that are under 90 degreese.

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.