Answer:
x = 2
Explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
( cross- multiply )
6(13x - 1.5) = 21(2x + 3) ← distribute parenthesis on both sides
78x - 9 = 42x + 63 ( subtract 42x from both sides )
36x - 9 = 63 ( add 9 to both sides )
36x = 72 ( divide both sides by 36 )
x = 2