Answer:
4. / D.
Step-by-step explanation:

In order to solve this problem, we must solve an equation.
First, we need to define our unknown.
Let's call our number "n".
So, the sum of the number and 6 is the same as saying n+6
Then we need to multiply it by 2 (since it's twice the sum)
2(n+6)
This whole thing is equal to three times of the difference of the number and 8
n-8 is equal to the difference between the number and 8, then we need to multiply it by three.
3(n-8)
now, we set both sides equal and solve

The number is 36
Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° =
, then
cos30° =
=
=
=
( cross- multiply )
2 AC = 12
×
= 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
First, I would multiply 17cm by 22cm to get 374, which is the area of the rectangle. Then to find the area of the triangle, I would multiple 12cm by 19cm and the divide that by half to get 114. I would then add 374+114 to get 488cm as your answer.