What is 0.16666666666666666 as a fraction?

Step-by-step explanation:

We require to create 2 equations with the repeating 6 placed after the decimal point. Then subtracting the equations eliminates the repeating part.

let x = 0.1666....... ( multiply both sides by 10 and 100 )

10x = 1.666...... → (1)

100x = 16.666...... → (2)

Subtract (1) from (2) to eliminate the repeating decimal, thus

90x = 15 ( divide both sides by 90 )

x = =

Thus

0.16666......... =

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.