Rational Equations

1. During the winter Olympics, a downhill skier had to complete two qualifying heats to make it to the metal round. She finished her first run in 2 minutes and her second run in 3 minutes. Both runs took place on a course that was 4.3 km long. What was her average speed? Write answer as a whole number or as a decimal rounded to the nearest 10th. Show all work.

2. Two groups of friends are taking taxis to a party in Greenville. The first taxi leaves from the financial district and travels at 45 km/h. At the same time, the other taxi leaves from the marina and travels 62 km/h. The two taxis are 14 km apart and heading directly towards each other. How much time will it take for the taxis to meet? If necessary, round your answer to the nearest minute. Show All Work.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

where is the figure

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

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.