Question

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

Explanation:

Step1: Set up segment sum equation

$CE = CD + DE$

Step2: Substitute given values

$7x = (x + 2) + 10$

Step3: Simplify right-hand side

$7x = x + 12$

Step4: Isolate x terms

$7x - x = 12$
$6x = 12$

Step5: Solve for x

$x = \frac{12}{6} = 2$

Step6: Calculate CE value

$CE = 7x = 7\times2$

Answer:

14