Question

point d is on line segment $overline{ce}$. given $cd = x, de = 7$, and $ce = 2x$, determine the numerical length of $overline{cd}$. answer attempt 1 out of 2 $cd=$

Explanation:

Step1: Use segment - addition postulate

Since point D is on line segment $\overline{CE}$, we know that $CD + DE=CE$. Substituting the given values, we get the equation $x + 7=2x$.

Step2: Solve the equation for x

Subtract $x$ from both sides of the equation $x + 7=2x$. We have $x+7 - x=2x - x$, which simplifies to $7=x$.

Answer:

$7$