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dem82 [27]
3 years ago
8

Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the

same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Complete question is;

Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?

a. jonas believes that his conjecture only applies to the triangles he drew and measured.

b. jonas believes that his conjecture only applies to the triangles he drew and measured.

c. jonas believes his conjecture is true for all triangles.

d. none of the above.

Answer:

C. jonas believes his conjecture is true for all triangles.

Step-by-step explanation:

A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.

Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.

Thus, the correct answer is Option C.

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For U= (2,3,4,5,6,7,8), X=(2,3,4,5), state X'=
tatiyna

Answer:

X' =  {6,7,8}

Step-by-step explanation:

X' is the set that contains the elements that are in set U bot NOT in set X.


7 0
3 years ago
5 is multiplied by the difference of 7 and a number
kvasek [131]

Answer:

5(7 - x).

Step-by-step explanation:

That is 5 multiplied by 7 - x   where x is the number.

8 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAP
diamong [38]

The ordered pair of the given equation will be ( 3, 6 ) and ( -3, 18).

<h3>What is a function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given functions are:-

F(x) =x²-2x+3

F(x) = -2x + 12

When we plot the graph of the function we will see that the line -2x +12 cut the parabola at points ( -3, 18 ) and ( 3, 6 ) so these are the ordered pairs of the two functions. The graph of the functions is also attached with the answer.

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6 0
1 year ago
What is the quotient written in scientific notation? 6 x 10^24 /8 x 10^8
Artist 52 [7]

When you divide 6x10^24 by 8x10^8 you end up with \frac{6}{8} x10^{16}

This simplifies to 0.75x10^{16}

Now this number is not written in scientific notation as it does not have its first digit before the decimal, so we must move the decimal of this one to the right.

To do that you must multiply the number by 10.

This means that the exponet of 10 must decrease by 1.

This makes the answer 7.5x10^{15}

6 0
3 years ago
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Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2
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The primitive function for f(x) = 4e^{2x} + e^{-x} is given by it's indefinite integral.

To calculate it, recall:

\frac{d}{dx}e^{ax}=ae^{ax}

\int c f(x)dx = c\int f(x)dx

Let's begin

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To find the costant, we just need to use the fact that F(0)=2

F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3

Therefore,

\boxed{F(x) = 2e^{2x} - e^{-x} -3 }

6 0
3 years ago
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