I need help please Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O'?

A. maM'N'O' = 90 degrees

B. m
C. mAM'N'O = 2 × mAMNO

D. m

D. ∠M'N'O' = ∠MNO

Step-by-step explanation:

Rotation is a rigid transformation. This means that it preserves the shape of the figure and changes only its orientation.

In other words, lengths of sides as well as measures of angles are not changed by rotation.

Now, we know that ∠MNO is rotated. This means that the orientation of the angle will change, however, its measure will remain unchanged. Both the measure of the original angle and the rotated one will be equal.

Therefore, the correct answer would be:

D. ∠M'N'O' = ∠MNO

Hope this helps :)

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15