In a group of 25 girls, 8 ran for the cross country team, 13 are on the math league team, and 6 are on both teams. How many of t
1 answer:
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Answer:
Step-by-step explanation:
So first, let's get rid of the parentheses. We can multiply it out to get . We know that the square root of 16 is ±4, so now our equation is ±4 -
=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 -
=11. We can use inverse operations to make the a little easier to solve: -7=
. We divide both sides by
to get
, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by
(which is equal to one so we can use it) which is equal to
. Let's finish this by simplifying it.
(2x
). We can simplify it further by simplifying the 2, making it
.
Hope this wasn't too confusing! I'll answer any questions.
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: