Question

Can somebody please help me quick?

http://prntscr.com/jjp0dq

Answer 1

`x=-3/2to(B)`

Explanation:

`"since the triangles are similar then the ratios of "`
`"corresponding sides are equal"`

`rArr(AB)/(XY)=(AC)/(XZ)=(CB)/(ZY)`

`"using "(AC)/(XZ)=(CB)/(ZY)`

`rArr(x+6)/(3-x)=(x+7)/(4-x)larrcolor(blue)"cross-multiply"`

`(x+6)(4-x)=(x+7)(3-x)larrcolor(blue)"distribute"`

`4x+24cancel(-x^2)-6x=3x+21cancel(-x^2)-7x`

`rArr-2x+24=-4x+21`

`"add "4x " to both sides"`

`rArr2x+24=21`

`"subtract 24 from both sides"`

`rArr2x=-3`

`"divide both sides by 2"`

`rArrx=-3/2to(B)`