If a transversal intersects two parallel lines, then blank angles are supplementary.

Mathematics

2 answers:

levacccp [35]3 years ago

5 0

The answer is

B) same side interior angles

if you think about it, these angles help to form the straight line (which is 180 degrees)

hope this helps

Ahat [919]3 years ago

3 0

Not that it asked but so are linear angles and alternate exterior angles

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First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ =\sqrt{(8--5)^2+(-3-4)^2} \\ \\ =\sqrt{(13)^2+(-7)^2} \\ \\ =\sqrt{169+49} \\ \\ =\sqrt{218} \\ \\ \approx14.7648... \end{gathered}$

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.