Question

If C is between B and D with BC = 8x+8, Cd = 6x-28 and BD = 10x + 24, Then find CD

Whats CD

Answer 1

CD = 38

Explanation:

Answer

BC = CD

And,

BC + CD = BD

8x + 8 + 6x - 28 = 10x + 24

14x - 20 = 10x + 24

14x - 10x = 24 + 20

4x = 44

x = 44/4

x = 11

CD = 6(11) - 28

66 - 28

38

Answer 2

CD = 38

Explanation:

We know that BC and CD will add up to equal BD so we can create a equation and solve for x.

(8x + 8) + (6x - 28) = 10x + 24

~Combine like terms

14x - 20 = 10x + 24

~Add 20 to both sides

14x = 10x + 44

~Subtract 10x to both sides

4x = 44

~Divide 4 to both sides

x = 11

~Now substitute into CD

6(11) - 28

66 - 28

38

Best of Luck!