is the midpoint of and D is the midpoint of . Solve for x, given BD = 3x + 5 and AE = 4x + 20.
To find the value of x, we need to set up an equation using the information given. Since D is the midpoint of AB, we can set BD equal to AE:
3x + 5 = 4x + 20
Next, we can subtract 3x from both sides to isolate the variable:
5 = x + 20
Then, we can subtract 20 from both sides:
-15 = x
Therefore, the value of x is -15.