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Hello!
11 - (3x + 1) = 7(x - 6) + 2
Distribute the coefficients outside of the parenthesis:
11 - (3x) - (1) = 7(x) + 7(-6) + 2
Simplify:
11 - 3x - 1 = 7x - 42 + 2
Combine like terms:
10 - 3x = 7x - 40
Add 3x to both sides to isolate x:
10 = 10x - 40
Add 40 to both sides:
50 = 10x
Divide both sides by 10:
x = 5
9514 1404 393
Answer:
(d) 12.3
Step-by-step explanation:
From the Law of Cosines, you can solve for c:
c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))
c ≈ √151.659 ≈ 12.31499
Side c is about 12.3 units long.
