Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be 
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are 
and 
.
The ratio of 
is 
.
The reason why it ideally should be and not 
is because the question states 
, which mentions 
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
the ans is b -33
Step-by-step explanation:
by putting the -3 in the place of x and adding,subtracting
Answer:
4.344
Step-by-step explanation:
Multiply.
Step-by-step explanation:
We will prove by contradiction. Assume that 
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that 
. Then, for some integer 
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for 
and an odd positive number 
,
Applying this formula in 1) we obtain that
.
Then, as 
we have that 
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
Answer:
77.41
Step-by-step explanation:
4.6² + 7.5²= 77.41
Square root of 77.41:
√77.41
This is because it can not be simplified further!
Why?
Because we used the Pythagoras Formula which is a²+ b² = c².
This is also why we had to find the square root of 77.41.
