Question

What is the value of x?

Answer 1

• x = 9

Explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

• 72/9 = 56/(3x - 20)
• 8 = 56/(3x - 20)
• 3x - 20 = 56/8
• 3x - 20 = 7
• 3x = 27
• x = 9

Answer 2

x = 9 cm

create proportional equation:

`\sf (9)/(3x-20) = (72+9)/(3x-20+56)`

`\sf (9)/(3x-20) = (81)/(3x+36)`

`\sf 9(3x+36) = 81(3x-20)`

`\sf 27x+324 = 243x-1620`

`\sf 27x-243x=-1620-324`

`\sf -216x=-1944`

`\sf x = 9`