Answer:
50 concurrent lines divide the plane in 100 parts.
Step-by-step explanation:
Table given in the picture attached,
Number of lines 1 2 3 4 5 n 50
Parts of plane 2 4 6 8 10 2n 100
There is a proportional relationship between the number of lines (x) and parts of plane (y).
y ∝ x
y = kx
For x = 1 and y = 2,
2 = 1(k)
k = 2
Therefore, equation will be,
y = 2x
For 50 concurrent lines, number of planes will be,
y = 2 × 50
= 100 planes
