Mathematics
Grade9
Easy

Question

If DF = 9y + 4, BC= 3y + 13, what is the length of DF?

  1. 5
  2. 7
  3. 8
  4. 9

Hint:

the midpoint theorem refers to the midpoint of the line segment. It defines the coordinate points of the midpoint of the line segment and can be found by taking the average of the coordinates of the given endpoints. 

The correct answer is: 7


    Step 1 of 1:
    We have given If DF = 9y + 4, BC= 3y + 13
    BC = 2DF
    3y + 13 = 2(9y + 4)
    3y + 13= 18y + 8
    15y = 5
    y = fraction numerator begin display style 1 end style over denominator 3 end fraction
    DF = 9y + 4 = 9 (1 third) + 4= 3 + 4 = 7

    Linear equation in one variable can be solved using fundamental operations

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