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Given parallelogram JKLM, where JK = 4x + 9, KL = 3x + 12, and LM = 6x - 25,

determine the length of MJ.

User Ember Freak
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1 Answer

23 votes
23 votes

Answer:

MJ is 13 units in length

Explanation:

in parallelograms, opposite sides are congruent

therefore, side KL is the same as JM which we know is 3x+12

now we need to find the value of 'x' which we can do by setting the other two sides equal as follows:

4x+9 = 6x-25

subtract 4x from each side to get:

9 = 2x-25

add 25 to each side to get:

34 = 2x

divide by 2

x = 17

now we can find the length of MJ by substituting 17 for 'x' in 3x+12

3(17)+12 = 51+12 = 63

User Rich Williams
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