Use the associative property of multiplication to rewrite the expression, then simplify 7/10 (20/7)y

(7/10*20/7)y

2y (Simplified)

Step-by-step explanation:

According to the associative property, no matter how you regroup three or more numbers in a multiplication, the product will not change.

Then, keeping this on mind, you can regroup the multiplication given in the problem above as following:

(7/10*20/7)y

When you simplify you obtain:

(140/800)y=2y

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).