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

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.

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.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation:

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