SOLUTION: in parallelogram MATH, AT = 3x + 18 and MH = 50 - 5x. Find the length of MH.

Algebra ->  Parallelograms -> SOLUTION: in parallelogram MATH, AT = 3x + 18 and MH = 50 - 5x. Find the length of MH.      Log On


   

Question 1154394: in parallelogram MATH, AT = 3x + 18 and MH = 50 - 5x. Find the length of MH.
Answer by MathLover1(20850) About Me  (Show Source):
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in parallelogram MATH,
AT+=+3x+%2B+18 and
MH+=+50+-+5x
by definition of a parallelogram opposite sides are equal in length, so AT=MH
then
+3x+%2B+18=+50+-+5x.....solve for x
+3x+%2B+5x=+50+-+18
+8x=+32
+x=+4

then, the length of MH will be:
MH+=+50+-+5%2A4

MH+=+50+-+20
MH+=+30