Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers
2 answers:
Hey!
You have to find the GCF of the 3 numbers. First list the factors of each number and see which is the greatest.
36 - 1, 2, 3, 4, 6, 9, 12, 18, 36
48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The bold numbers are the common factors. The greatest common factor is 12.
<em>That means the maximum number of bowls he can put items into is 12 bowls.</em>
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The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.
Mathematically, this statement of the symmetric property of congruence can be written as:
If , then
.
Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:
If , then
which is the exact statement of the symmetric property of congruence when applied to triangles.
Thus, Option D is the correct option.