the distance from a boy's house to his school is 10km. he left home at 6.30am, cycling at the rate of 4km/h. if he spent 15 minutes on the way waiting for his friend, when did he get to school?

9:15 am

Step-by-step explanation:

First you know the speed and you know the distance.

So now we have to find the time it took for him to get to school(ignore the waiting time first)

time=10/4=2.5h

now we add the waiting time,

2.5h+0.25h(15minutes is the same as 0.25h)=2.75h

convert 0.75h to minuts,

0.75*60=45minutes

6.30+2.45=9.15am

9:35

Step-by-step explanation:

6 : 30 min + 15 min = 6 : 45

10 km ÷ 4 km/h = 2 h and 50 min

2h and 50 min + 6 : 45 = 9 : 34

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.