Respuesta :

Given the length of segment BD, BC and CD, the numerical value of x is 19

What is the numerical value of x?

Given the data in the question.

BD is a line segment, C is a point on the line segment BD.

  • Segment BD = 7x
  • Segment BC = 4x - 29
  • Segment CD = 5x - 9

Since C is a point on segment BD

BD = BC + CD

We plug in the given values.

7x = (4x - 29) + ( 5x - 9 )

Collect like-terms

7x = 4x + 5x - 29 - 9

7x = 9x - 38

9x - 7x = 38

2x = 38

x = 38/2

x = 19

Given the length of segment BD, BC and CD, the numerical value of x is 19

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