Maggie is training for the croos country meet. On the first day she runs 500m. Each day that she runs 250m more than the day before. At this rate Maggie thinks she can reach her goal of 5km in a single day on the 21stcday. Her sister says she will match the goal on the 19th day

Sister is correct.

Step-by-step explanation:

Given:

Starting distance a = 500 m

Extend ever day d = 250 m

Final distance = 5 km = 5,000 m

Find:

Number of days n

Computation:

An = a + (n-1)d

5,000 = 500 + (n-1)250

n = 19 days

Number of days n = 19 days

Sister is correct.

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.