The function f(x) is shown on the graph.
1 answer:
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Answer:
The measures of angles of triangle EFQ are
1)
2)
3)
Step-by-step explanation:
step 1
Find the measure of arc QD
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given value
step 2
Find the measure of arc FQ
we know that
---> because ED is a diameter (the diameter divide the circle into two equal parts)
substitute the given values
step 3
Find the measure of angle EFQ
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given value
step 4
Find the measure of angle FEQ
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given value
step 5
Find the measure of angle EQF
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given value
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
Answer:
Step-by-step explanation: