Question

I need to know x . if you could also explain that would be nice

Answer 1

x = 7.5

Explanation:

Since the midsegment and the third segment of the triangle are parallel to each other, therefore,

`(8 + 10)/(8) = (6 + x)/(6)`

`(18)/(8) = (6 + x)/(6)`

`(9)/(4) = (6 + x)/(6)`

Cross multiply

`9*6 = 4(6 + x)`

`54 = 24 + 4x`

Subtract 24 from each side

54 - 24 = 4x

30 = 4x

Divide both sides by 4

30/4 = x

7.5 = x

x = 7.5