5 out of 20 like Star Wars so what value (x) should like Star Wars out of 200. Set up a proportion comparing the two.
x= # of people in 7th gr who like Star Wars
5/20= x/200
cross multiply
(5*200)= (20*x)
1000= 20x
divide both sides by 20
50= x
ANSWER: 50 people in the 7th grade should like Star Wars.
Hope this helps! :)

you can use long division with Remainder (look at the picture).

Even means g(-x)=g(x)
replace x with -x and see if it simplifies to original functin
g(-x)=(-x-1)²+1
g(-x)=((-1)(x+1))²+1
g(-x)=(x+1)²+1
nope
g(x)=2x²+1
g(-x)=2(-x)²+1
g(-x)=2x²+1
yep
we are done
answer is 2nd one
Rolling a 2 has a probability of 1/6
Odd number probability is 1/2
1/6*1/2=1/12
Answer:
Step-by-step explanation:
A) identical triangles PSR and PSQ
B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR. so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees. the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar
C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4 then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula
c²=a²+b²
c²=4²+4²=16+16=32
c=√32=√16*2=4√2