<span>In mathematics, polygons are similar if their corresponding angles are congruent and the ratio of their corresponding sides are in proportion.</span>
<span>Once we know that triangles (or any polygons) are similar, we also know some additional facts about the figures.</span>
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
The volume of the cube is (8 x 8 x 8) = 8³ = <em>512 cubic inches</em> (exact)
Solutions
To convert 2/14 into lowest terms you have to divide by the greatest common factor. The greatest common factor of 2 and 14 is 2.
2 ÷ 2 = 1
14 ÷ 2 = 7
1/7 is in lowest terms
