A teacher asks students to determine the accuracy of this statement. A reflection over the x-axis and then over the y-axis results in the same transformation as a 180° rotation about the
origin of the original figure.
Kwame's explanation of the accuracy of the statement is shown below.
Step 1: Choose the vertices of a pre-image: (1, 2), (1, 4), (2, 3).
Step 2: Reflect the pre-image over the x-axis: (1, -2), (1, -4), (2, -3).
Step 3: Reflect the figure from step 2 over the y-axis: (-1,2), (-1,4), (-2, 3).
Step 4: Rotate the pre-image 1800 (-1, -2).(-1,-4), (-2, -3).
Step 5: Compare the reflected figure to the rotated figure. The vertices are not located in the same place, therefore the
statement made by the teacher is inaccurate,
Which best explains Kwame's solution?
Kwame's explanation and solution are incorrect. He reflected the image over the y-axis in step 2 and the x-axis in
step 3, instead of the reverse.
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option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

x = -2

y = 848

step-by-step explanation:

plug in the numbers

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).