AB = 7x + 10
BD = 9x + 2
AB = BD, therefore
7x + 10 = 9x + 2 subtract 10 from both sides
7x = 9x - 8 subtract 9x from both sides
-2x = -8 divide both sides by (_2)
x = 4
Put the value of x to the expression 7x + 10:
AB = 7(4) + 10 = 28 + 10 = 38
Answer: AB = 38