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3 years ago

Please I need help fast

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

I believe the correct response would be B. Coincident, as they both co incide or run into each other at a point which is the solution to this system of equations. It can't be A, because the lines of the graph although are consistent in nature they are not independent from one another, I would assume separate from each other, they do intersect. The graph of the lines are also consistent in the shape and nature so they are not D. Inconsistent.

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diamong [38]

Answer:

So the end points of the mid segment are:

S $(-3.5,0.5)$

T $(-1,-0.5)$

Step-by-step explanation:

First of all we need to list the co-ordinates of the points of the triangle shown.

P $\rightarrow(-3,3)$

Q $\rightarrow(2,1)$

R $\rightarrow(-4,-2)$

We need to find mid segment of the triangle which is parallel to segment PQ. This would mean we need to find midpoints of segment PR and QR and then join the points to get mid segment.

Midpoint Formula:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Midpoint of PR:

S( $(\frac{-3+(-4)}{2},\frac{3+(-2)}{2})\\\\(\frac{-3-4}{2},\frac{3-2}{2})\\\\(\frac{-7}{2},\frac{1}{2} )$

S $(-3.5,0.5)$

Midpoint of QR:

T $(\frac{2+(-4)}{2},\frac{1+(-2)}{2})\\\\(\frac{2-4}{2},\frac{1-2}{2} )\\\\(\frac{-2}{2},\frac{-1}{2}$

T $(-1,-0.5)$

So the end points of the mid segment are:

S $(-3.5,0.5)$

T $(-1,-0.5)$

By mid segment theorem we know that the line joining midpoints of two sides of a triangle is parallel to the 3rd side.

∴ We know ST is parallel to PQ

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ale4655 [162]

Answer:

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Step-by-step explanation:

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