Answer:
( - 6 , - 1 )
Step-by-step explanation:
Let's find the rule of that transformation:
1 + = 4 ⇒ = 3
9 + = 10 ⇒ = 1
Thus, the rule of given transformation is ( x + 3 , y + 1 )
So, the image of the point ( - 9 , - 2 ) is
( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )
Answer:
x = 25
Step-by-step explanation:
We know that the remaining angles add up to 90°, because the right angle (triangles have 180° total.)
2x + 15 + x = 90 | Given
3x + 15 = 90 | Combine x
3x = 75 | Subtract 15
x = 25
We'll use the following properties of sine and cosine to prove this:



Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16
So, personally I would take 252 and divide it by 4. this will give you 63 which is 1/4 of the cookies. Then add that 63 three times to get a total of 189 cookies which would be your 3/4 sold. so since there is only 63 cookies left then you would go into your final problem. 3/9 is equal to 1/3, so all you would do is divide 63 by 3 and get a total of 21 cookies given to the pta.
3/4÷1/8 is the same as 3/4×8/1.
3×8=24
4×1=4
That becomes 24/4 which simplifies to 6. Your answer is 6.