3(2x + 3) + 4x + 2 = 21
Solve for x

Step-by-step explanation:

1) Expand.

2) Simplify 6x + 9 + 4x + 2 to 10x + 11.

3) Subtract 11 from both sides.

4) Simplify 21 - 11 to 10.

5) Divide both sides by 10.

Therefor, the answer is x = 1.

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).

answer: what are the answer choices?

step-by-step explanation: