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Aloiza [94]
3 years ago
5

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 len

gth of \overline{CD}. CD .
Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

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:

aleksandrvk [35]3 years ago
6 0

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

<em>Hence, the length of CD is 15 units</em>

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