Question

Find the length indicated. Find BD

Answer 1

BE = 3x - 1

BC = BD - CD = 2x - 4 - 2

DE = CE - CD = 2x - 3 - 2

_______________________

BC + CD + DE = BE

( 2x - 4 - 2 ) + 2 + ( 2x - 3 - 2 ) = 3x - 1

2x - 6 + 2 + 2x - 5 = 3x - 1

2x + 2x - 5 - 6 + 2 = 3x - 1

4x - 11 + 2 = 3x - 1

4x - 9 = 3x - 1

Add both sides 9

4x - 9 + 9 = 3x - 1 + 9

4x = 3x + 8

Subtract both sides 3x

4x - 3x = 3x - 3x + 8

x = 8

___________________

BD = 2x - 4

BD = 2(8 ) - 4

BD = 16 - 4

BD = 12

And we're done...