The equation 2(5 + 7) = (2•5) + (2•7) illustrates what property?

A) associative property
B) commutative property
C) distributive property
D) identity property

It's C) distributive property

Step-by-step explanation:

You are distributing 2 to 5 and 7

the image of (6, 9) under a dilation is (4, 6). the scale factor is

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).