Answer:
LN ≈ 14.2
Step-by-step explanation:
Given that the triangles are similar then corresponding sides are in proportion, that is
= , substitute values
= ( cross- multiply )
26 LN = 9 × 41 = 369 ( divide both sides by 26 )
LN = ≈ 14.2 ( to the nearest tenth )
You can use a bit algebraic manipulation like so
(4x+14)/(x+3)
(4x+12 + 2)/(x+3)
((4x+12) + 2)/(x+3)
(4(x+3) + 2)/(x+3)
4(x+3)/(x+3) + 2/(x+3)
4 + 2/(x+3)
2/(x+3) + 4