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sasho [114]
3 years ago
10

Miguel draws △JKL with vertices J(−12, −1) , K(12, 9) , and L(12, −1) . Then he dilates the triangle with a scale factor of 6 to

create △J′K′L′. How are the areas of the triangles related?
Enter your answer in the box.
The area of △J′K′L′ is [__?__] times the area of △JKL.
Mathematics
1 answer:
Zina [86]3 years ago
3 0
Ik I'm late but for my homies in k12: 36
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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.
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Proof by contadiction.

Let assume there exist such positive integers a and b whose sum is a prime number p, that their greatest common divisor is greater than 1.

a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\

Since p is a prime number and d>1, then d=p \wedge e+f=1, but we assumed earlier that e,f\in\mathbb{Z^+}, and there are no two positive integers that sum up to 1.

q.e.d.

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A bag contains 3 red marbles, 4 black marbles, and 5 yellow marbles. What are the chances of picking a marble that is not black?
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What is the slope of a line parallel to the line on the graph?
Yuliya22 [10]

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

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