Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:
[tex] AB + BC = AC [/tex]
[tex] (x + 7) + 2x = 16 [/tex]
Solve for x
[tex] x + 7 + 2x = 16 [/tex]
[tex] 3x + 7 = 16 [/tex]
Subtract both sides by 7
[tex] 3x + 7 - 7 = 16 - 7 [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
