The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.
<h3>What is the triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
- (a+b) > c
- (b+c) > a
- (c+a) > b
For the given triangle, using the triangle inequality law, we can write,
EF + FG > EG
FG + EG > EF
EG + EF > FG
Hence, the correct options are A, B, and C.
Learn more about the Triangle Inequality Theorem:
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Answer: 4 x 3 = 12 so 12 cups of cherries and 12 x 225 = 2700 grams and around 454 grams are in each pound that mean 5.95.9525 pounds of cherries
Step-by-step explanation:
Answer:
-5/2
Step-by-step explanation:
7=intersect of y
-5/2=Slope
<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. This is a rectangular prism its base is a rectangle. multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

Therefore, Associative Property can be used to mentally find the volume of the prisms shown by selecting the easier way of the multiplication. For instance, we can say that:

In whose case:

To operate this mentally is not an easy way, but<em> what if we rotate this shape? </em>so we say that:

Then, the volume can be found as:

There are two forms of finding the result. First, multiplying 18 by 20 and then the result by 5, but as in the previous case this is a tricky way to do mentally:

Hence, here we can use Associative Property multiplying 20 by 5 and then the result by 18:

This last arrangement is easier because 20 x 5 is easy to remember given that the result is 100. Then, by multiplying this result by 18 then we get 1800.
1st: -2*2^(1-1) = -2*1 = -2
4th: -2*2^(4-1) = -2 *8 = -16
8th = -2*2^(8-1) = -2*128 = -256
Last choice is correct