Question

Can someone please help me

Answer 1

Answer: X=6 AB= 52

Explanation:

7x + 10 = 9x -2 (because the sides are equal) & solve.

subtract the 7x on both sides.

10 = 2x -2

add 2 on both sides

12 = 2x

divide by 2

x = 6

Answer 2

x = 4

AB = 52

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