Answer:
x = -7
HI = -18
ID = -36
Explanation:
I'm guessing that H is the midpoint, so that would mean DH = HI.
So plug in.
4x + 10 = 2x - 4 (subtract 2x on both sides)
2x + 10 = -4 (subtract 10 on both sides)
2x = -14 (divide by 2 on both sides)
x = -7
PLUG IN TO GET ID because DH + HI = ID
4(-7) + 10 + 2(-7) - 4 (simplify)
-28 + 10 -14 - 4 (collect like terms)
-46 + 10 = -36
ID = -36
HI = 2(-7) -4 (simplify)
HI = -14 -4
HI = -18
Hope this helps!!