If 3(b – 20) = -(6 - 12), what is the value of b?

b = 22

Step-by-step explanation:

3 (b - 20) = - (6 - 12)

step 1: distribute the 3 on the left to all the numbers in the parentheses on the left

3b - 60 = - (6 - 12)

step 2: distribute the negative to all the numbers in the parentheses on the right

3b - 60 = -6 +12

step 3: add -6 and 12

3b - 60 = 6

step 4: add 60 to both sides, the 60 on the left will cancel out

3b = 66

step 5: divide 66 by 3

b = 22

answer:

your answer is: c. 196 7/8 in^3.

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).