What set of reflections and rotations would carry rectangle abcd onto itself?
a.) reflect over the y-axis, reflect over the x-axis, rotate 180°
b.) rotate 180°, reflect over the x-axis, reflect over the line y=x
c.) reflect over the x-axis, rotate 180°, reflect over the x-axis
d.) rotate 180°, reflect over the y-axis, reflect over the line y=x

Option A is correct.

Step-by-step explanation:

Rules of Reflection:

Along y-axis

Alon x-axis

The rotation rule: is when any coordinate rotated the coordinate becomes negation of both k and h.

So, (k,h) becomes (-k,-h)

Let us assume two points (x,y)

When  reflected  along y-axis we get

(-x,y)

Now, since we get (-x,y) when reflected along x-axis we get

(-x,-y)

So, our coordinate (-x,-y) will become (x,y) after rotated .

Therefore, Option A is correct.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.