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Step-by-step explanation:
x = angle 1
3x + 12 = angle 2
angle 1 + angle 2 = 180
4x + 12 = 180
4x = 168
x = 42 = angle 1
180 - 42 = 138 = angle 2
Answer:
Option b is the correct answer
Step-by-step explanation:
The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.
The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.
Looking at the parabola formed from the plotted points, it cuts the x axis at
x = -1 and x= -2
These are the factors of the equation. To get the equation, we multiply the factors.
x= -1, x +1 = 0
x =-2 , x + 2= 0
The equation is (x+1)(x+2)
Expanding the brackets,
x×x + x×2 +1×x + 1×2
= x^2 + 2x + x +2
= x^2 + 3x +2 = 0
Option b is the correct answer
Answer:
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Answer: City needs 2.4 inches of rainfall more to match the record of 40 inches.
Step-by-step explanation:
Since we have given that
Total annual rainfall a city record = 40 inches
This year, total rainfall recorded = 37.6 inches
Number of inches of rainfall is needed to match the record of 40 inches is given by
Hence, City needs 2.4 inches of rainfall more to match the record of 40 inches.