Question

Can u pls help me to answer this question?​

Answer 1

Listed below

Explanation:

Looking at this problem, we can see that for each new dot, 3 lines are added. So, if we wanted to solve for the number of lines and dots for each box, we can use this equation if n = dots:

• 4 + [(n - 1) × 3] =

Inserting 4 into the equation as n:

• 4 + [(4 - 1) × 3] = 13

So, if there are 4 dots, there will be 13 lines.

Solving for the 5 box:

• 4 + [(5 - 1) × 3] = 16

So, if there are 5 dots, there will be 16 lines.

Solving for the 6 box:

• 4 + [(6 - 1) × 3] = 19

So, if there are 6 dots, there will be 19 lines.

To solve for the number of lines with n dots, we use the equation listed above. (4 + [(n - 1) × 3] =?)

To solve for the number of lines if there are 50 dots, we can use the same equation with 50 as n:

• 4 + [(50 - 1) × 3] = 151

So, if there are 50 dots, there will be 151 lines.

To solve for the number of dots if there are 85 lines, we can simply count on from 19 with 6 dots.

• 22 lines with 7 dots.

• 25 lines with 8 dots.

• 28 lines with 9 dots.

• 31 lines with 10 dots.

• 34 lines with 11 dots.

• 37 lines with 12 dots.

• ...

• 85 lines with 34 dots.

Therefore, there are 85 lines in the pattern with 34 dots.