The circle theoremss that cyclic quadrilaterals can be related to include:
- Every corner of the quadrilateral touches the circumference of the circle.
- The ratio between the diagonals and the sides can be defined.
- The product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.
<h3>What is a cyclic quadrilateral?</h3>
It should be noted that cyclic quadrilateral simply means a quadrilateral that's drawn inside a circle.
In this case, every corner of the quadrilateral must touch the circumference of the circle.
Also, the product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.
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Its greater by a factor of 2^2 ( = 4)
Its 4 times the area of the original square.
We have an inscribed angle here. Angle YXZ is an inscribed angle.
Angle YXZ can also be expressed as simply angle x but I will use angle YXZ.
Angle YXZ = (1/2)(arc YZ)
Angle YXZ = (1/2)(144°)
Angle YXZ = 72°
Done!
Answer:
-6
Step-by-step explanation:
Plug in (-1) for y: -3(-1) - 9
Simplify: Negative x Negative = Positive
-3(-1) = 3 so... 3-9
3 - 9 = -6
-3y - 9 is equivalent to -6