Question 1154394


in parallelogram {{{MATH}}}, 

{{{AT = 3x + 18}}} and 
{{{MH = 50 - 5x}}} 

by definition of a parallelogram opposite sides are equal in length, so {{{AT=MH}}}

then 

{{{ 3x + 18= 50 - 5x}}}.....solve for {{{x}}}

{{{ 3x + 5x= 50 - 18}}}

{{{ 8x= 32}}}

{{{ x= 4}}}


then, the length of {{{MH}}} will be:

{{{MH = 50 - 5*4}}}
 
{{{MH = 50 - 20}}} 

{{{MH = 30}}}