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r-ruslan [8.4K]
3 years ago
15

What are the measures of angles 1, 2, and 3? 30° 60° 120° 150°

Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

Angle 1: 150°

Angle 2: 30°

Angle 3: 150°

Step-by-step explanation:

1 is 150° because a line is 180° total, and 180-30= 150°

2 is 30° because they are the same angle just reflected across the y-axis.

3 is 150° because they are the same angle as 1 just reflected across the x-axis.

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Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

A(x) = \frac{f(b)-f(a)}{b-a}

As per the statement:

f(x) = x^2-2x-4

we have to find the average rate of change from x = -1 to x = 4

At x = -1

f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1

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A(x) = \frac{f(4)-f(-1)}{4-(-1)}

⇒A(x) = \frac{4-(-1)}{4+1}

⇒A(x) = \frac{5}{5}

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

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