Answer:

Step-by-step explanation:

Answer: x = 50
Step-by-step explanation:
-0.2(x - 20) = 44 - x
-0.2x + 4 = 44 - x (distribute the -0.2)
+ x + x
-----------------------------------------------------
0.8x + 4 = 44
- 4 - 4
-------------------------------------------------------
0.8x = 40 (divide by 0.8)
x = 50
Answer:
The common ratio is 
The next term in the sequence is 2
Step-by-step explanation:
In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:
common ratio 
This quotient should be true for any two consecutive terms in the sequence.
so using the first two terms, we find:

You can test that this common ratio is true for all other terms listed:

So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:

Answer:
A = 70 mm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 10, b₁ = 10, b₂ = 4 , then
A =
× 10 × (10 + 4) = 5 × 14 = 70 mm²