Question

Find DF
Segment addition

Answer 1

mDF = 18

Explanation:

DE and EF must add up to DF.

Step 1: Set up equation

mDE + mEF = mDF

x + 7 + 7 = 4x + 2

Step 2: Solve for x

1. Combine like terms: x + 14 = 4x + 2
2. Subtract x on both sides: 14 = 3x + 2
3. Subtract 2 on both sides: 12 = 3x
4. Divide both sides by 3: 4 = x
5. Rewrite: x = 4

Step 3: Find mDF

mDF = 4x + 2

mDF = 4(4) + 2

mDF = 16 + 2

mDF = 18