In 1913, the largely self-taught Indian mathematician Srinivasa Ramanujan mailed 120 of his theorems to three different British mathematicians; only one, G. H. Hardy, recognized the brilliance of these theorems, but thanks to Hardy's recognition, Ramanujan was eventually elected to the Royal Society of London.(A) only one, G. H. Hardy, recognized the brilliance of these theorems, but(B) they were brilliant, G. H. Hardy alone recognized, but(C) these theorems were brilliant, but only one, G. H. Hardy recognized;(D) but, only one G. H. Hardy, recognizing their brilliance,(E) only one G. H. Hardy recognized, but these theorems were brilliant

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

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.