Question

what is the value of x

Answer 1

x = 2

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(EC)/(BC)` =
`(DE)/(AB)` ( substitute values )

`(2x+3)/(13x-1.5)` =
`(6)/(21)` ( 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