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
Answer is $22.37:
You subtract $56.75 from $87.37,which equals $30.62, then you add the 2 checks that the bank didn't return and subtract that amount from the $30.62.
Hello :
<span>4x-5y=13...(1)
x+5y=-3...(2)
(1)+(2) : 5x = 10
x=2
subsct in (2) : 2+5y = -3
5y =-5
y = -1
</span>
Answer:y=3x+3
Step-by-step explanation: the y-intercept is 3, and the slope is 3/1, which is 3. Technically the answer is not enough information, as it is not given how many units one square is.
Answer:
The price of one pound of bell peppers is $0.6.
Step-by-step explanation:
This problem is equivalent to the following:
<em>"if 10 oranges cost $20, how much does 1 orange cost? "</em>
and the answer to that question is:
price of 1 orange = $20/ 10 oranges = $2 per orange.
Put simply, we divided the total price by the total number of items, and we shall do the same thing for the case of bell peppers:
price of 1 pound = $1.25/ 2.5 pounds = $0.5/ pound.
The price for 1 pound of bell peppers is $0.5.
