The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
C. 2 + (-3)
Step-by-step explanation:
-2.69 can be rounded to -3 and 1 can be rounded to 2
Answer:
the answer would be 16.50
The answer is 0.15290519877
Answer as a compound inequality: 
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have
which is the same as 
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that 
Combine
and
to get the compound inequality 
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.