Which statement is an example of the symmetric property of congruence?
2 answers:
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.
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To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
, so we can rewrite our expression as follows:
From our unitary circle we can check that
and 
.
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
From our unitary circle we can check that
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7
Answer:
The required proportion is .
Step-by-step explanation:
Consider the provided information.
The price of a recipe-book was reduced from $24.50 to$17.95.
The original price is 24.50
Reduced price is 17.95.
Let p represents the percent decrease in price of the book.
Now substitute the respective values in the above formula.
Hence, the required proportion is .