Question

M is the mid point of LN. If LM = 3x and MN = x + 8, what is LM? QUICK

Answer 1

To find the length of LM, we can use the fact that M is the midpoint of LN. This means that LM is equal in length to MN.

Given that LM = 3x and MN = x + 8, we can set up an equation to solve for x. Since LM and MN are equal, we have:

3x = x + 8

To solve this equation, we can subtract x from both sides to isolate the variable:

3x - x = x + 8 - x

2x = 8

Now, we can divide both sides of the equation by 2 to solve for x:

2x/2 = 8/2

x = 4

With x = 4, we can substitute it back into the equation for LM:

LM = 3x = 3(4) = 12

Therefore, the length of LM is 12.

Explanation:

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Answer 2

• 12

Given :

• M is the midpoint of LM
• LM = 3x
• MN = x + 8

To find :

• Value of LM

Solution :

A midpoint is the point where at the segment gets divided into two equal half and therefore, M being the midpoint of LN, makes LM =MN.

In order to find the value of LM, we simply will put the values of LM & MN equal to each other,

• LM = MN
• 3x = x + 8
• 3x -2 = 8
• 2x = 8
• x = 8/2
• x = 4

Plugging in the value of x in the expression for LM,

• 3x = 3*4 = 12

Therefore, the value of LM would be equal to 12 .