When 9 times a number is
increased by 30, the answer
is the same as when 140 is
decreased by the number.
Find the number

11

Step-by-step explanation:

You have to make it into an linear equation.

We're going to put n instead of number.

9 lots of n = 9n.

9n + 30 = 140 - n.

-30 on both sides.

9n = 110 - n.

+n on both sides.

10n = 110.

Divide by 10 on both sides.

Therefore, n = 11.

Hope this helps :)

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).