Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement a
2 answers:
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Answer:
We consider a triangle ABC as attached in the answer.
We draw a line parallel to AB that passes through point C.
Angles C and C' are vertical angles, therefore ∠C = ∠C'.
Angles B and B' are corresponding angles, therefore ∠B = ∠B'.
Angles A and A' are corresponding angles, therefore ∠A = ∠A'.
it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.
The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.
This proofs that sum of angles of a triangle is equal to 180.
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
where, m is slope.
Subtracting 3 from both sides, we get
So, the equation of line is .
Putting x=0, we get
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
