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If LM = 13, MN = x +15, and LN + 3x + 4, what is MN

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Answer: 27

Explanation:

To find the value of MN, you can use the information given in the problem.

You have:

1. LM = 13

2. MN = x + 15

3. LN = 3x + 4

The sum of the lengths of two sides of a triangle must be greater than the length of the third side. In this case, LM + MN > LN.

So, we can write the inequality:

13 + (x + 15) > (3x + 4)

Now, let's solve for x:

13 + x + 15 > 3x + 4

Combine like terms:

x + 28 > 3x + 4

Subtract x from both sides:

28 > 2x + 4

Subtract 4 from both sides:

24 > 2x

Now, divide by 2:

12 > x

So, x is less than 12.

Now, you can find MN by substituting this value back into the expression for MN:

MN = x + 15

MN = 12 + 15

MN = 27

Therefore, MN is equal to 27.

User Urska Krivc
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