Question

Please solve quick ​

Answer 1

x = 5

AC = 6

DC = 8

Explanation:

∆ABC ~ ∆CDE

Therefore,
`(AB)/(ED) = (AC)/(DC)`

AB = 3

ED = 4

AC = x + 1

DC = x + 3

Plug in the values and solve for x:

`(3)/(4) = (x + 1)/(x + 3)`

Cross multiply

`3(x + 3) = 4(x + 1)`

`3x + 9 = 4x + 4`

`3x - 4x = -9 + 4`

`-x = -5`

`x = 5`

Plug in the value of x and find AC and DC

AC = x + 1 = 5 + 1 = 6

DC = x + 3 = 5 + 3 = 8