The sum of angles in a triangle is 180°
40°+(8x+7)°+(9x+16)° = 180°
40 + 8x + 7 + 9x + 16 = 180°
40 + 7 + 16 + 8x + 9x = 180°
63 + 17x = 180°
17x = 180 - 63
17x = 117
x = 117 ÷ 17
x = 6.9 °
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
apply ln both sides
Remember that
Answer:
5x+9 = 109
3x+11 =71
Step-by-step explanation:
A linear pair adds to 180
5x+9 + 3x+11 =180
Combine like terms
8x + 20 =180
Subtract 20 from each side
8x +20-20 = 180-20
8x = 160
Divide each side by 8
8x/8 = 160/8
x=20
5x+9 = 5*20+9 = 100+9 = 109
3x+11 = 3*20+11 = 60+11=71
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