Δabc underwent a sequence of rigid transformations to give δa′b′c′. which transformations might have taken place?

a reflection across the y-axis followed by a reflection across the x-axis

a rotation 90° clockwise about the origin followed by a reflection across the x-axis

a rotation 270° clockwise about the origin followed by a reflection across the x-axis

a reflection across the x-axis followed by a reflection across the y-axis

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).