Answer:
x = 7.5
Step-by-step explanation:
Given 2 parallel lines , then
the outer triangle and the inner triangle sre similar, by the AA postulate.
Because the triangles are similar then the ratios of corresponding sides are in proportion
The side in the inner triangle , with the dash through it, is equal to the segment of the outer triangle with a dash through it, that is 3 cm
the sides x and 3 (in the inner triangle) are corresponding
the sides 3 + 2 = 5 and 2 are corresponding
Then
[tex]\frac{x}{3}[/tex] = [tex]\frac{5}{2}[/tex] ( cross multiply )
2x = 3 × 5 = 15 ( divide both sides by 2 )
x = 7.5
