Question

Please help i’m struggling

Answer 1

x = 7

Explanation:

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

`(AC)/(XZ)` =
`(BC)/(YZ)` ( substitute values )

`(12x-63)/(7x-14)` =
`(6)/(10)` =
`(3)/(5)` ( cross- multiply )

5(12x - 63) = 3(7x - 14) ← distribute parenthesis

60x - 315 = 21x - 42 ( subtract 21x from both sides )

39x - 315 = - 42 ( add 315 to both sides )

39x = 273 ( divide both sides by 39 )

x = 7