Answer:
Yes, the sides form a right triangle.
Step-by-step explanation:
<u>Pythagorean Theorem:</u>
a² + b² = c²
↓
20² + 21² = 29²
║a² = 20² = 400
║b² = 21² = 441
║c² = 29² = 841
↓
400 + 441 = 841
║This equation is true.
↓
Yes, the sides form a right triangle.

<h2>
Explanation:</h2>
We have the following system of three linear equations:

Let's use elimination method in order to get the solution of this system of equation, so let's solve this step by step.
Step 1: Multiply first equation by
and add the result to the second equation. So we get:

Step 2: Multiply first equation by −2 and add the result to the third equation. So we get:

Step 3: Multiply second equation by −32 and add the result to the third equation. So we get:

Step 4: solve for z.

Step 5: solve for y.

Step 6: solve for x by substituting
and
into the first equation:

Finally:

<h2>Learn more:</h2>
Solving System of Equations: brainly.com/question/13121177
#LearnWithBrainly
Answer:
Degree of freedom is 6.
Step-by-step explanation:
A sample of seven infants is randomly selected and their weights at birth are recorded.
Given, Population mean = 6.6 pounds
Sample size = n = 7
Degree of freedom = n - 1
= 7 - 1
= 6
Degree of freedom is 6.
You are close, but it is not the correct answer.
1 + 2k = 5k + 7
First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side.

Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.

Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive.

Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!

Answer:
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