Question

if cd = 2x, de = 7, and ce = x + 10, what is ce? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $CE=CD + DE$, we have the equation $x + 10=2x+7$.

Step2: Solve for x

Subtract $x$ from both sides: $10=x + 7$. Then subtract 7 from both sides, getting $x=3$.

Step3: Find CE

Substitute $x = 3$ into the expression for $CE$. Since $CE=x + 10$, then $CE=3+10$.

Answer:

$13$