Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
We know that 3/10*20=6 students are eating salads.
We also know that 3/5*20=12 students are eating sandwiches.
Assuming each person only eats one thing, there are 20-12-6=2 students eating lunches other than salads or sandwiches.
Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
Complementary angles add up to 90°
and supplementary angles add up to 180°
Add the two angles together
82+98=180
So the measure of these two angles are supplementary
