SOLUTION: Please help me solve this problem:
MTSR is a parallelogram. MR= _______ MT=_______
MR is 2y-10; MT is 3x+6; TS is y-3; and RS is 2x+10
What would the y stand for, and what would
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Question 253221: Please help me solve this problem:
MTSR is a parallelogram. MR= _______ MT=_______
MR is 2y-10; MT is 3x+6; TS is y-3; and RS is 2x+10
What would the y stand for, and what would the x stand for?
Found 3 solutions by drk, richwmiller, Greenfinch:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
By definition, a parallelogram has opposite side which are congruent. So,
(i) MR = TS
(ii) MT = SR.
the (y) and (x) are just variables that we need to solve the problem.
--
From (i) we get
(iii) 2y - 10 = y - 3
--
From (ii) we get
(iv) 3x + 6 = 2x + 10.
--
Solve (iii) for y.
y = 7
--
Solve (iv) for x.
x = 4.
--
So,
from (i) we get MR = 2(7) - 10 = 4.
From (iii) we get MT = 3(6) + 6 = 24.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We have a parallelogram which means that opposite sides are the same size and parallel.
So the opposite sides MR and TS are equal in size
2y-10=y-3
and MT and RS are equal
3x+6=2x+10
solve each and find x and y
y=7
x=4
I leave something for you to do.
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
MT = RS and MR = TS because it is a ||gram
so 2y - 10 = y - 3 and 3x + 6 = 2x + 10
y = 8 and x = 4
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