Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
The Correct Answer Is f(x)=2.5x+5
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Answer:
2 %
Step-by-step explanation:
Money borrowed, Principal, P = $ 700
time of investment, T = 3 years
Total interest paid, Simple interest, S.I = $ 42
Let the rate of interest is R.
Use the formula for simple interest.

By substituting the values

4200 = 2100 R
R = 2 %
Thus, the rate of interest is 2%.
Answer:
x = -30
Step-by-step explanation:
subtract 7 from both sides ( 7+2/5x -7, -5-7 )
simplify ( 2/5x = 12 )
multiply both sides by 5 ( 2/5x times 5 = 5 (-12) )
simplify ( 2x = -60 )
divide both sides by 2 ( 2x / 2, -60 / 2 )
x = -30