M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

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