Asmall hexagon was graphed on a coordinate plane. by what scale factor was the hexagon dilated to create the larger hexagon? a) 2b) 1/2c) 2/3d) 3/2

Consider the point where the hexagons meet the positive half of the y axis.

The inner hexagon meets the axis at , whereas the outer hexagon meets the axis at

So, we're looking for a dilation constant such that

So, solving by k we have

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).