Answer:
13
Step-by-step explanation:
Given:
BC = 2x + 7
CD = x + 10
Coordinate of point B = 0
Required:
Coordinate of point C
SOLUTION:
Since C is the midpoint of BD, therefore:
BC = CD
2x + 7 = x + 10 (substitution)
Collect like terms
2x - x = -7 + 10
x = 3
BC = 2x + 7
Plug in the value of x
BC = 2(3) + 7 = 6 + 7
BC = 13
Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.
Since the coordinate of B is 0, 13 units away from 0, would be 13.
Therefore, the coordinate of point C = 13