Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.
The main theorem about these quadrilaterals is the following:
In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.
This means, m(∠S)+m(∠Q) =180°,
thus
(7x-2)+(5x+14)=180
12x+12=180
12x=168
x=168/12=14
Thus the measures of angles Q and S are respectively:
7x-2 = 7*14-2=96 (degrees) and
5x+14=5*14+14=6*14=84 (degrees)
Answer: D
X^2 = 4^2 - (2√3)^2
x^2 = 16 - 12
x^2 = 4
x = 2
answer
x = 2 cm
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
Yes the answer I should be 10.
