Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
