Question

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

Answer 1

Answer:

x = 7.5

Step-by-step explanation:

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

$\frac{8 + 10}{8} = \frac{6 + x}{6}$

$\frac{18}{8} = \frac{6 + x}{6}$

$\frac{9}{4} = \frac{6 + x}{6}$

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