Question

In the figure the horizontal lines are parallel and ab=bc=cd if lm =5 find jm

Answer 1

Answer is c or 10

thanks!

Answer 2

Answer:

The correct option is A. 15 units

Step-by-step explanation:

Given : The horizontal lines are parallel. ⇒ MA ║ LB ║ KC ║ JD .

            LM = 5 units . AB = BC = CD

To Find : Length of JM

Solution : Since the horizontal lines are parallel and the lines MJ and AD are transversal. So, By the transversal theorem :

If segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

⇒ If AB = BC = CD then ML = LK = KJ

Now, JM = LM + KL + KJ

⇒ JM = LM + LM + LM

⇒ JM = 3 × LM

⇒ JM = 3 × 5

⇒ JM = 15 units

Therefore, The correct option is A. 15 units