Compare the quantity in column A with the quantity in column B. Choose the best answer.
Column A
The 8th term of an=2 + (n-1) 5

Column B
a9 when a1= 13 and d=3

C. The two quantities are equal

Step-by-step explanation:

Column A

Substitute the numbers with the letters

an = a1 + (n - 1) d should be an = 2 + (8 - 1) 5

Work it out, you should get 37

Column B

Substitute the numbers with the letters again

an = a1 + (n - 1) d should be an = 13 + (9 - 1) 3

Work it out, your answer should be 37 as well

Tada, done. The answer is C.

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).