Question

Find the length of EF

Answer 1

9

Explanation:

1. First, we need to set up an equation to find the value of x and then the length of EF.

2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of:
`3x - 28 + 3x - 30 + x = 33`

3. (Solving for x)

Step 1: Simplify both sides of the equation.

• 
  `3x - 28 + 3x - 30 + x = 33`
• 
  `(3x+3x+x) + (-28-30)=33`
• 
  `7x - 58 = 33`

Step 2: Add 58 to both sides.

• 
  `7x - 58 + 58 = 33 + 58`
• 
  `7x = 91`

Step 3: Divide both sides by 7.

• 
  `(7x)/(7) = (91)/(7)`
• 
  `x = 13`

4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.

• 
  `3(13)-30`
• 
  `39 - 30`
• 
  `9`

Therefore, the length of EF is 9.