0.21212121… as a fraction

Work Shown:

x = 0.212121...

100x = 21.212121

Subtract the equations straight down. This means we subtract the left hand sides together, and the right hand sides are handled separately.

After those sets of subtractions, we are left with 99x = 21.

This solves to x = 21/99 when dividing both sides by 99 to isolate x.

Therefore, 21/99 = 0.212121...

a

b

d

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.