Given: Let x be the whole amount inherited. 1/2 * x - invested with Bernie Madoff 1/3 * x - lost due to identity theft 1/8 * x - lost in casino 40,000 - remainder
x = 960,000 initial inheritance x/2 = 960,000/2 = 480,000 invested with Bernie Madoff x/3 = 960,000/3 = 320,000 lost due to identity theft x/8 = 960,000/8 = 120,000 lost in the casino 40,000 - remaining amount.
Hj and jk are the same length line segments ( because the midpoint divides a line into two equal parts) So hj = jk.
hk is the line segment which has the mid point j. It is the double of hj or jk. It can be the sum of hj and jk. hj + jk = hk or 2 * hj = hk or 2 * jk = hk
