Question

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

Answer 1

Answer:

BD measures 20 units.

Step-by-step explanation:

We are given that Point C is on the line segment BD, where:

$BD = 5x, BC = 4x \text{ and } CD = 4$

And we want to determine the numerical length of BD.

Since C is somewhere on BD, BD is the sum of BC and CD:

$\displaystyle BD = BC + CD$

Substitute:

$(5x) = (4x) + (4)$

Solve for x. Subtract:

$x = 4$

Hence, the value of x is 4.

BD is given by 5x. Therefore:

$BD = 5(4) = 20\text{ units}$

In conclusion, BD measures 20 units.