Question

Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical length of \overline{CD}. CD .

Answer 1

Answer:

Step-by-step explanation:

Given

Required

Determine CD

Since Point C is on segment BD, then we have

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

Collect Like Terms

Multiply both sides by -1

Substitute 3 for x in  

Hence, the length of CD is 15 units

Step-by-step explanation:

Answer 2

Answer:

$CD = 15$

Step-by-step explanation:

Given

$BC = x + 4$

$CD = 5x$

$BD = 5x + 7$

Required

Determine CD

Since Point C is on segment BD, then we have

$BD = BC + CD$

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

$5x + 7 = x + 4 + 5x$

Collect Like Terms

$5x - 5x - x = 4 - 7$

$- x = -3$

Multiply both sides by -1

$x = 3$

Substitute 3 for x in $CD = 5x$

$CD = 5(3)$

$CD = 15$

Hence, the length of CD is 15 units