Answer: The slope of two parallel lines are same. Since one pair of opposite sides are equal and parallel, therefore the another set of opposite sides is also parallel and equal. The opposite sides are prallel and equation, so the quadrilateral PQRS is a parallelogram.
Recall that
sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2
so that
sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2
sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2
Then
sin²(7<em>π</em>/8) + sin²(5<em>π</em>/8) = (1 - cos(7<em>π</em>/4) + 1 - cos(5<em>π</em>/4))/2
… = 1 - 1/2 (cos(7<em>π</em>/4) + cos(5<em>π</em>/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
Bruj life is so hard. like aragahah this boy has me head over heels and all i want is him. god why can’t he open his eyes. anyway since your only concern is "given that they play a sport", only the top row is involved (12 total). Of those, 2 play an instrument. P(I|S) = 2/12, or 1/6.
Answer:
20 feet
Step-by-step explanation:
In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)
The hypotenuse is always = c, so you'd set up the equation like this:
16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)
This equation simplifies to 256 + 144 = c^2
which further simplifies to 400 = c^2
to solve for c, we square root both sides so the c is isolated:
20 = c
so the length of the kite string is 20 feet
Answer:
25°
Step-by-step explanation:
In 
BD = CD .....(Given)
(By isosceles triangle theorem)
Now,
(Angles in linear pair)
Next, in 
(By interior angle sum postulate of a triangle)
