The points $$ \mathrm{C}, \mathrm{D}, \mathrm{E} $$ and F all lie on the same line segment, in that order, such that the ratio of $$ C D: D E: E F $$ is equal to $$ 1: 2: 4 $$. If $$ C F=7 $$, find $$ C D $$. Answer Attempt 1 out of 3 $$ C D=\square $$

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Let’s denote:
- $$ CD = x $$
- $$ DE = 2x $$ (since the ratio is 1:2:4)
- $$ EF = 4x $$

The total length $$ CF $$ is the sum of these segments:
$$
CF = CD + DE + EF = x + 2x + 4x = 7x
$$
Given that $$ CF = 7 $$, we can set up the equation:
$$
7x = 7
$$
Solving for $$ x $$:
$$
x = 1
$$
Therefore, the length of $$ CD $$ is:

$$
CD = 1
$$

**Answer:**  
$$ CD = 1 $$
$$ CD = 1 $$

The points and F all lie on the same line segment, in that order, such that the ratio of
is equal to . If , find .
Answer Attempt 1 out of 3

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The points and F all lie on the same line segment, in that order, such that the ratio of is equal to . If , find . Answer Attempt 1 out of 3