Question

What is the value of x?

Answer 1

Answer:

• x = 9

Step-by-step 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

Answer:

x = 9 cm

create proportional equation:

$\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}$

$\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}$

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

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

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

$\sf -216x=-1944$

$\sf x = 9$