Fis the midpoint of ab and e is the midpoint of ac if fe=x+5 and bc=3x+2, what is fe? a)10 b)11 c)12 d)13

Option D is correct.

FE = 13 units

Step-by-step explanation:

As per the statement: F is the midpoint of AB and E is the midpoint of AC.

If and

By midpoint theorem of line states that the points on a line segment equally distant from the two endpoints.

Then, by midpoint theorem of line we have;

Substitute the given values we have;

Multiply both sides by 2 we getl;

Using distributive property:

2x + 10 = 3x+ 2

Subtract 2 from both sides we get;

2x + 8 = 3x

Subtract 2x from both sides we have;

8 = x

or

x =8 units.

We have to find the value of FE.

FE = x +5 = 8+5 =13 units

Therefore, the value of FE is, 13

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step-by-step explanation:

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