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1. The numerical length of line CD is 15

   Solving linear equations

   From the question, we are to determine the numerical length of line CD

   From the given information,

   Point C is on line segment BD

   Thus, we can write that

   BC + CD = BD

   Also, from the given information

   BC = x+4

   CD = 5x

   BD = 5x +7

   Therefore,

   x+4 + 5x = 5x + 7

   6x + 4 = 5x + 7

   Collect like terms

   6x – 5x = 7 – 4

   x = 3

   Now, substitute the value of x into the equation for line CD

   CD = 5x

   CD = 5×3

   CD = 15

   Hence, the numerical length of line CD is 15

   Learn more on Solving linear equations here: https://brainly.com/question/18883520

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