M is the midpoint of the segment. Find the length of CG. A. 0 B. 1 C. 38 D. 49
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answer
CD = 38
solving steps
4x – 5 = 2x + 7
4x – 5 – 2x = 7
2x = 7 + 5
2x = 12
2x/2 = 12/2
x = 6
4(6) – 5 + 2(6) + 7
24 – 5 + 12 + 7
M = 38
Answer:
C
Step-by-step explanation:
Given that M is the midpoint of CG , then
CM = MG , that is
4x - 5 = 2x + 7 ( subtract 2x from both sides )
2x - 5 = 7 ( add 5 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
CG = CM + MG = 4x - 5 + 2x + 7 = 6x + 2 = 6(6) + 2 = 36 + 2 = 38