Answer :

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

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Rewritten by : Jeany

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