Answer:
y = -3x+-1/5
Step-by-step explanation:
Answer:
Take out the area of the full circle first:
A= pi r^2
A= 3^2 x pi
A= 28.274 cm3
Area of smaller cirlces:
A= pi r^2
A= 1^2 x pi
A= 3.14159
Multiply by 2 as 2 circles: 6.28318
Substract unshaded from shaded: 28.274-6.28318
Area of shaded is 21.99082 cm3
Step-by-step explanation:
Answer:
Angle 8 = 84 degrees
Angle 5 = 96 degrees
Step-by-step explanation:
Angle 8 = 84 degrees because Angle 2 and Angle 8 are inside opposite which makes them equivalent.
Angle 5 = 96 degrees because 180-84=96
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
Answer:
Option D is the correct answer
Step-by-step explanation:
D. Yes, because it passes the vertical line test.
