Can't it just be like if for every 2cm is 8 feet
Then 6cm is 24feet
And 4cm = 16
3 times what will give you 9? 9/3=3. So multiply 2 by 3: 2•3=6 or C :)
Answer:
D) In geometry, deductive rules can be used to prove conjectures.
Step-by-step explanation:
Geometry is the part of mathematics that deals with the relationships between lines, angles and surfaces. On the other hand, deductive rules refers to argument forms where true premises result in a conclusion that must be true and are called valid arguments. Deductive arguments that are not in a valid form are called invalid arguments. What is important here is that If I assume the premises are true, is it possible that the conclusion could be false? If the answer "yes" then the argument is invalid and valid if you answer "no".
So, we can use deductive rules to prove conjectures. A conjecture is a theory based on information that is not complete. Thus, we can use the question If I assume the premises are true, is it possible that the conclusion could be false? to get valid or invalid arguments.
5x-10=3x
-10=-2x
-10/-2=-2x/-2
5=x
![(1) \ x>0 \\ \\ (2) \ y>0 \\ \\ (3) \ y](https://tex.z-dn.net/?f=%281%29%20%5C%20x%3E0%20%5C%5C%20%5C%5C%20%282%29%20%5C%20y%3E0%20%5C%5C%20%5C%5C%20%283%29%20%5C%20y%3C-x%2B6)
<h2>
Explanation:</h2>
A right triangle is a special triangle that has a right angle. In this case, we have to write a system of inequalities that defines a shaded region that looks like a right triangle. First of all, let's say that at the origin the triangle will have a right angle. To do so, we'd need to set:
![x>0 \\ \\ y>0](https://tex.z-dn.net/?f=x%3E0%20%5C%5C%20%5C%5C%20y%3E0)
So the shaded region in this first part will be the First Quadrant as indicated in the first figure below. So if the opposite side lies on the x-axis the adjacent side will lie on the y-axis or if the adjacent side lies on the x-axis the opposite side will lie on the y-axis. Everything is ok up to this point. We just need to define the hypotenuse, so we'd need to define a line. In order to have a right triangle, we need a line with negative slope and positive y-intercept shaded under the line. So, this inequality could be:
![y](https://tex.z-dn.net/?f=y%3C-x%2B6)
Finally, the system of inequalities would be:
![(1) \ x>0 \\ \\ (2) \ y>0 \\ \\ (3) \ y](https://tex.z-dn.net/?f=%281%29%20%5C%20x%3E0%20%5C%5C%20%5C%5C%20%282%29%20%5C%20y%3E0%20%5C%5C%20%5C%5C%20%283%29%20%5C%20y%3C-x%2B6)
And the final shaded region is the one shown in the second figure.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/2486051
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