Question

Point C is on line segment BD. Given BD= 5x, BC= 4x, and CD =4,determine the numerical length of BD

Answer 1

The numerical length of BD is 20.

Step-by-step explanation:

Given that BC is a part of BD, we can say that BD is the sum of BC and CD. BC is represented by 4x and CD is represented by 4. So, we can write the equation as:

BD = BC + CD

BD = 4x + 4

Since the length of BD is represented by 5x, we can set up an equation:

5x = 4x + 4

To solve for x, we subtract 4x from both sides of the equation:

x = 4

Now, we can substitute the value of x back into the equation:

BD = 5(4) = 20

Therefore, the numerical length of BD is 20.