Answer: A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities.
This is a perfect square trnomial
(a+b)²=a²+2ab+b²
we see that a=5x and b=2
(5x)²+2(5x)(2)+2²=0
factor
(5x+2)²=0
set equal to zero
5x+2=0
5x=-2
x=-2/5
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths
Let k be the scale factor relating two similar prisms
and
, such that for corresponding parts of prisms
and
(for heights, in particular) we have
. In our case
.
For surfaces area we have
.
So, the right answer is 4:25 (choice B)
Answer:
4
Step-by-step explanation:
4 goes perfectly into 8 twice and 12 three times
