Answer:
The number is 7
Step-by-step explanation:
certain positive number: x
x is multipled by 4:
4x
result of this is subtracted from the original number:
so original number minus 4x,
x - 4x
the result is 21 less than 0, this means negative 21
x - 4x = 0 - 21 = -21
do algebra:
-3x = -21
multiply both sides by -1
3x = 21
divide both sides by 3
x=7
(certain positive number: x) is equal to 7
Answer: 7 pies
Step-by-step explanation: Since the club split the pies into 5 pieces and then had a total of 45 slices, you would first divide 45 by 5 and you would get 9. The question stated that the cafeteria gave 2 pies and they are asking how much the club made. So you would subtract 9 by 2 to get 7. This concludes to that the club made 7 pies in total. Hope that helps!
Answer:
240
Step-by-step explanation:
5(x² - 1)
5 ((-7)² - 1)
5(49 - 1)
5 (48)
Answer:
Step-by-step explanation:
Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.
A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since and are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation: