Question 1150973

recall:  In a pair of similar triangles, corresponding sides are proportional and all three angles are congruent.



{{{EU/UV=UF/WU}}}

if given:
{{{EU=7}}}
{{{WU=55}}}
{{{UV=35}}}

we have

{{{7/35=UF/55}}}...simplify left side

{{{1/5=UF/55}}}

{{{(1/5)55=UF}}}

{{{UF=11}}}