Answer:
x = 4
AB = 52
Step-by-step explanation:
The dashes on the line segments AB and BD mean that they are equal in length.
⇒ 7x + 10 = 9x - 2
Add 2 to both sides:
⇒ 7x + 10 + 2 = 9x - 2 + 2
⇒ 7x + 12 = 9x
Subtract 7x from both sides:
⇒ 7x + 12 - 7x = 9x - 7x
⇒ 12 = 2x
Divide both sides by 2:
⇒ 12 ÷ 2 = 2x ÷ 2
⇒ 6 = x
⇒ x = 6
Substitute x=6 into the expression for AB to find the length of AB:
⇒ AB = 7(6) + 10
⇒ AB = 42 + 10
⇒ AB = 52
