In a parallelogram opposite angles are congruent, that means:
Angle L = Angle N, replace L & N by they respective value, then
3x-25 = 2x-10 ==> x=15 , Now plug the value of x in any of the 2 sides
3(15) -25 =20°
hence Angle L =- Angle N = 20°
Now let's calculate Angle M. In a parallelogram the adjacent angle are supplementary, that means their sum = 180°, then
Angle N + Angle N = 180°==> Angle M = 180°-20° = 160°
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)

............(2)
...........(3)

...........(4)
Now we adding equation 2 and 4, we get the value of x.



Now we are putting the value of x in 4, we get the value of y.




Therefore, the value of x and y is 8 and 10 respectively.
Answer:
0.082 = 8.2× 10^-2
Step-by-step explanation:
Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).
To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.
0.082 = 8.2× 10^-2
This gives the required answer.
Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).
Answer:
10/11>9/11>7/11
Step-by-step explanation:
It is 10 out of eleven which is bigger than 9 out of eleven which is bigger than 7 out of eleven.
The midpoint between -4 and 8 is answer B) 2