Answer:
1/3
Step-by-step explanation:
12(multiplication problems) /36 (total problems 12+24)
12/36=1/3
Answer:
9
Step-by-step explanation:
Rotational symmetry is when a shape has the same orientation after being rotated.
For example, an equilateral triangle rotated 120° will line back up with itself. A square rotated 90° will also return to its original orientation. Same with a pentagon rotated 72°.
Basically, an n-gon rotated by a multiple of 360°/n will return to its original position.
θ = k 360°/n
For the first rotation:
160° = k 360°/n
160 / 360 = k / n
4/9 = k/n
For the second rotation:
120° = k 360°/n
120 / 360 = k / n
1/3 = k/n
For the third rotation:
80° = k 360°/n
80 / 360 = k / n
2/9 = k/n
For the fourth rotation:
280° = k 360°/n
280 / 360 = k / n
7/9 = k/n
The total rotation angle is -160°.
160 = k 360/n
160 / 360 = k / n
4/9 = k/n
Comparing the denominators, n must be the smallest multiple of 3 and 9. Therefore, n = 9.
Answer: 88<8n
Step-by-step explanation:
Because 88 is the least amount of time, it goes on one side of the inequity and the 8n goes on the other
9x - 2y ......................hope i helped
Answer:
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
and
ARE Conjugates.
The conjugate of
is
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
We can apply the difference of squares for the denominator.
So our denominator will be
So our rationalized fraction will be
