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Alex
3 years ago
11

Name the property of equality that the statement illustrates If x = y, then y = x.

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer: Symmetric Property

Explanation: The symmetric property states that x = y, then y = x.

So the symmetric property allows us to

switch the left and right sides of an equation.

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Find the length of the third side. If necessary, write in simplest radical form.
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Answer:

\boxed {\boxed {\sf 8}}

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

a= 7 \\b= \sqrt{15}

Substitute these values into the formula.

(7)^2+(\sqrt{15})^2=c^2

Solve the exponents.

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Add.

64=c^2

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c

The third side length is <u>8.</u>

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