Point C is on line segment \overline{BD} BD . Given CD=x, CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical length of \overline{CD}. CD .

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;

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves