Can somebody please help me quick?

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1 Answer
Jim G.
May 18, 2018

#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)#

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