Answer:
[tex]CD = 15[/tex]
Step-by-step explanation:
Given
[tex]BC = x + 4[/tex]
[tex]CD = 5x[/tex]
[tex]BD = 5x + 7[/tex]
Required
Determine CD
Since Point C is on segment BD, then we have
[tex]BD = BC + CD[/tex]
Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD
[tex]5x + 7 = x + 4 + 5x[/tex]
Collect Like Terms
[tex]5x - 5x - x = 4 - 7[/tex]
[tex]- x = -3[/tex]
Multiply both sides by -1
[tex]x = 3[/tex]
Substitute 3 for x in [tex]CD = 5x[/tex]
[tex]CD = 5(3)[/tex]
[tex]CD = 15[/tex]
Hence, the length of CD is 15 units
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:
