Answer:
x = -5
Step-by-step explanation:
I) Substitute:
3x + 2y = -5
3x + 2(5) = -5
3x + 10 = -5
II) Solve:
3x + 10 = -5
3x = -15 (Subtract 10 from both sides)
x = -5 (Divide both sides by 3)
The area of the circle is 28.26 sq in hope this helps
6x = -12
6x/6 = -12/6
x = -2
Answer:
(a) 48, 52, 54
(b) 6
(c) b, c
Step-by-step explanation:
The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.
<h3>(a)</h3>
The sample means are calculated in the attachment. For the different samples, they are ...
- 48
- 52
- 54
<h3>(b)</h3>
The range of the sample means is the difference between the largest and the smallest:
range = 54 -48 = 6
<h3>(c)</h3>
More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...
- A single sample mean will tend to be a worse estimate than the mean of the sample means.
- The closer the range of sample means is to zero, the more confident they can be in their estimate.
The statements that would prove the lines are parallel are;
∠GHI ≅ ∠KJH
∠MJH + ∠NHJ = 180°
∠KJH + ∠IHJ = 180°
<h3>How to Identify Congruent Angles?</h3>
In congruency of angles formed in this type of scenario, we will make use of the following rules;
- If two parallel lines are cut by a transversal, then, Alternate Interior Angles are congruent.
- If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent.
- If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Using the above congruency rules and applying them to our question, we can say that for lines HN and KM to be parallel to each other, then;
∠GHI ≅ ∠KJH because they are corresponding angles
∠MJH + ∠NHJ = 180° because they are supplementary angles
∠KJH + ∠IHJ = 180° because they are supplementary angles
Read more about Congruent Angles at; brainly.com/question/24607467
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