Answer:
BD = 88
BC = 27
CD = 61
Explanation:
Given that,
BD = 7x - 10
BC= 4x - 29
CD = 5x - 9
Here we assume BD is a line segment and C is a point lies between B & D.
BD = BC + CD
7x - 10 = 4x - 29 + 5x - 9
Now combine like terms
7x - 10 = 4x + 5x - 29 - 9
7x - 10 = 9x - 38
Move 7x from left hand side to right hand side
-10 = 9x - 7x - 38
-10 = 2x - 38
Add 38 both the side
-10 + 38 = 2x - 38 + 38
28 = 2x
Divide by 2 both the side
x = 14
Now put the value of x and find the length of BD, CD, BC
BD = 7x - 10 = 7*14 - 10 = 98 - 10 = 88
BC= 4x - 29 = 4*14 - 29 = 56 - 29 = 27
CD = 5x - 9 = 5*14 - 9 = 61
That's the final answer.
I hope it will help you.
