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2 votes
Look At the figure JKLM find the length of JK. PLEASE HELP!!!!!! PLEASE NEED TO GRADUATE !!!

A. 58
B.48
C.24
D.64

Look At the figure JKLM find the length of JK. PLEASE HELP!!!!!! PLEASE NEED TO GRADUATE-example-1
User Marshluca
by
6.3k points

2 Answers

3 votes

3x-14=58

3x-14+14= 58+14

3x= 72

Divide by 3 for 3x=72

x= 24

check answer by using substitution method

3x-14=58

3(24)-14=58

72-18=58

58=58

Answer is C.(x=24)

User Avoision
by
6.9k points
2 votes

Answer: The correct option is (A) 58.

Step-by-step explanation: We are given to find the length of JK in the given figure.

From the figure, we note that

JKLM is a parallelogram. So, the opposite sides of JKLM will be parallel and congruent.

Also, JK = 3x - 14 and LM = 58.

Since JK and LM are the opposite sides of the parallelogram JKLM , so we must have


JK=LM\\\\\Rightarrow 3x-14=58\\\\\Rightarrow 3x=58+14\\\\\Rightarrow 3x=72\\\\\Rightarrow x=(72)/(3)\\\\\Rightarrow x=24.

Therefore, the length of JK is given by


JK=3x-14=3*24-14=72-14=58.

Thus, the length of JK is 58 units.

Option (A) is CORRECT.

User Herm
by
6.4k points
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