An architect designs apartment buildings with the same ratio of small to large apartments. Building A has 12 small apartments and 6 large apartments. Building B has 18 small apartments.

9 large apartments in B

Step-by-step explanation:

Same ratio

Building A = 12 small : 6 large

= 2 : 1

Building B = 18 small : x large

= 2 : 1

18/x = 2/ 1

18 = 2x

9 = x

Large apartments in B = 9

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).