Question

If AB = 2x + 4, BM = 4x - 2 and AB = 16, what is x?

A) x = 2
B) x = 4
C) x = 6
D) x = 8

Answer 1

To find the value of x, we substitute AB = 16 into AB = 2x + 4, simplify to get 12 = 2x, and then solve for x by dividing both sides by 2, resulting in x = 6.

Step-by-step explanation:

To solve for x when given AB = 2x + 4, BM = 4x - 2 and AB = 16, we will use the following steps:

1. Since AB is given to be 16, we can substitute this value into the first equation AB = 2x + 4 to get 16 = 2x + 4.
2. Subtract 4 from both sides to isolate the term with x on one side: 12 = 2x.
3. Divide both sides by 2 to solve for x: x = 6.

So, the value of x is 6, which corresponds to option C.