Into how many parts do 50 concurrent lines divide the plane?

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

x+14

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40