Question

If D equals 6x - 7 + 8 equals 4x + 9 find the DB

Answer 1

If DE = 6x - 7 and AE = 4x + 9, find DB.

DE and AE are line segments. We need to equal DE = AE

`DE=AE`
`6x-7=4x+9`
`6x-4x=9+7`
`2x=16`
`x=8`

Now, DB = DE + EB

`DB=6x-7+4x+9`
`DB=10x+2`

x = 8

`DB=10(8)+2\rightarrow DB=82`

DB is 82