Which of the following transformations has the same result as a rotation of 90 degrees clockwise?

a. rotation of 270 clockwise
b. reflection of a horizontal line
c. translation down and to the right .
d. dilation to scale factor of 9

Rotation of any geometrical shape by 90 degree, takes the geometrical shape to Next Quadrant.

When we rotate, a geometrical shape , the shape and size of geometrical shape after Rotation does not change.That is the two,geometrical Images (Preimage and Image), before and after Rotation are Congruent.

Now, when we reflect a Geometrical Shape along a Horizontal line,it goes into next Quadrant and when reflection takes place along Horizontal line ,then also, the two Preimage and Image are Congruent.

In both the cases ,only two Adjacent Quadrants are used.

Option B

Reflection of a horizontal line

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

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