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
7-3=4
9-2=7
4x7=28
Use PEMDAS for order of operations, it will save your life
Parenthesis Exponents Multiply Divide Add Subtract
Multiply and Divide and Add and Subtract can be switched around with each other, but multiply and divide always happens before add and subtract. The reason you add first here is because it is in the parenthesis.
M = (1,4)
N = (5,2)
For M, you simply move to 1 on the x axis abs for 4 you move on the y axis. Same does for N, for 5 you move on the x axis and for 2 you move on the y axis.
Answer:
x=7/3
Step-by-step explanation:
3(x-4)=-5
3x-12=-5
3x=7
x=7/3
Answer:
[-1, ∞ )
Step-by-step explanation:
The use of parentheses is essential here. I am assuming that you meant:
y=√(x-5) - 1
Note that √(x-5) has the range [0, ∞ ). The domain is [5, ∞ ).
Thus, y=√(x-5) - 1 has the range [-1, ∞ )
