Answer:

Step-by-step explanation:
Given



Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;

Substitute the values of BD, BC and CD

Collect Like Terms


Divide both sides by -4


To determine the length of CD;
Substitute 3 for x in 
Hence;

Answer:
Step-by-step explanation:
48+32x=-176
32x=224
x=7
Answer:
∠CEB
Step-by-step explanation:
The vertical angle is one that is directly <em>opposite</em> to the original angle. In this image of two intersecting lines, it looks like the angle ∠CEB is directly across from our angle ∠DEA. So, the angle ∠CEB is <em>vertical to</em> ∠DEA.
Hopefully that was helpful! :)
Answer:
6
Step-by-step explanation:
Answer:
The top of the ladder is now at 10 ft.
Step-by-step explanation:
At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

The base is moved twice the distance the height moves up.
We called this distance x, so we have:

The new height (H+x) is

The base travels 2x=8, so the new base B' is 0.
This means that the ladder is all against the wall (L=H').