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:
2x bigger
Step-by-step explanation:
because if you split the rectange in half, it would be 2x?
3/4 of a sandwich for each sandwich will amount to 6 sandwiches and 8 children can eat
Answer:
The total commission is $8905
Step-by-step explanation:
The commission on first $80000 = 2%
The commission on next $80000 = 4%
The commission on the sales of more than $160000 = 5%
Now we have to calculate the total commission on the amount of $242100. Let divide the amount in three parts, $80000 + $80000 + $82100 = 242100
Now total commission = $80000×2% + $80000 ×4% + $82100×5%
Total commission = $8905
Answer:
135 ft^2.
Step-by-step explanation:
The total surface area
= 2 * area of the triangular sides + area of the 3 rectangular sides
= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5
= 135 ft^2.
