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Veseljchak [2.6K]
3 years ago
5

3. (02.01)

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

x = - 1

Step-by-step explanation:

Given

3(x + 1) = - 2(x - 1) - 4 ← distribute parenthesis on both sides

3x + 3 = - 2x + 2 - 4, that is

3x + 3 = - 2x - 2 ( add 2x to both sides )

5x + 3 = - 2 ( subtract 3 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

diamong [38]3 years ago
4 0

Answer:

3x+3=-2x+2-4

5x=-5

x=-1

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What are the endpoint coordinates for the mid segment of △PQR that is parallel to PQ?
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Answer:

So the end points of the mid segment are:

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Step-by-step explanation:

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

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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.

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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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