DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x

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 :)

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

step-by-step explanation:

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