The key to this problem is recognizing that the line DF must bisect the angle BDC. This is because CD must coincide with diagonal BD when folded along line DF.
The angle BDC is clearly 45 degrees since the diagonal bisects the right angle. Therefore angle x = 45/2 (Attached diagram).
You can then find CF (labeled y) using tangent function. From half -angle formula
Eliminating the negative case since y>0. Therefore k = 2 m = 1
In mathematics, it deals with numbers of operations according to the statements.
Here, Let the number of plants originally stolen by the thief be x. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half of the plants that he still had, plus 2 more.
Here, For gourd 1 the planet is given = 1/2 x For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2 Finally, the thief leaves the nursery with 10 plants x - 7x/8 + 2 = 10 x/8 = 8 x = 64