TomSuyar TomSuyar

21-12-2019
Mathematics

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B is the midpoint of AC. AB=7x-4 and BC=4x+5. Find AC.
A) 51
B) 68
C) 17
D) 34

B is the midpoint of AC AB7x4 and BC4x5 Find AC A 51 B 68 C 17 D 34 class=

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JustPotato JustPotato

21-12-2019

Answer:

D) 34

Step-by-step explanation:

Since B is the midpoint, AB = BC

Plug the two in:

7x - 4 = 4x + 5

Solve for x:

3x = 9, x = 3

Find AB + BC

since BC = AB

AC = 4x + 5 + 4x + 5

AC = 8x + 10

AC = 8(3) + 10

AC = 24 + 10

AC = 34

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