Answer:
240 cell phones
Step-by-step explanation:
=12×1500
=18000÷75
=240
<h3>Answers:</h3>
- Congruent by SSS
- Congruent by SAS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SSS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SAS
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Explanations:
- We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.
- We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.
- We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise.
- We can use SAS like with problem 2. Vertical angles are always congruent.
- This is similar to problem 1, so we can use SSS here.
- There isn't enough info, so it's pretty much a repeat of problem 3
- Same idea as problem 4.
- Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS
The abbreviations used were:
- SSS = side side side
- SAS = side angle side
The order is important with SAS because the angle needs to be between the sides mentioned.
Answer: 14.4
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Work Shown:
Use the angle bisector theorem to divide each side adjacent to the congruent angles (x and 13.5) over their corresponding sides that are adjacent to those previously mentioned sides.
So in short we have x/6.6 as one ratio, and 13.5/6.2 as another
Equate the two fractions, cross multiply, solve for x.
x/6.6 = 13.5/6.2
x*6.2 = 6.6*13.5 ... cross multiply
6.2x = 89.1
6.2x/6.2 = 89.1/6.2 .... divide both sides by 6.2
x = 14.371 which is approximate
x = 14.4
The graphs show a negative linear relationship with a correlation coefficient, r, close to -0.5 in Graph D.
<h3>What does the correlation coefficient convey?</h3>
The correlation coefficient is the degree of association between two quantities in terms of a linear relation.
The range of correlation coefficient is -1 to 1
If the correlation is -1, then that means as the one quantity increases, the other quantity decreases (linearly)
If the correlation is 1, then that means as the one quantity increases, the other quantity increases(linearly) and vice versa for decrement.
Thus, if the correlation coefficient of two variables is 1 or -1, then that means they are linearly related.
The graphs show a negative linear relationship with a correlation coefficient, r, close to -0.5 in Graph D.
Learn more about correlation coefficient here:
brainly.com/question/10725272
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