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ipn [44]
3 years ago
7

Jerome is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning

coordinates as given, where RS is the midsegment of trapezoid KLMN.
Since RS is the midsegment of trapezoid KLMN, the coordinates of R are ( ____, ____ ) and the coordinates of S are (a+d,c).

The slope of KL is 0.

The slope of RS is 0.

The slope of NM is ____.

The slope of each segment is 0, therefore, the midsegment is parallel to the bases.



Answer Choices :

a, b, c, d

a+b, a+d

0, 1, 2

Mathematics
2 answers:
Bingel [31]3 years ago
8 0

Answer:

coordinates of R(b,c)

slope of NM is 0.

Step-by-step explanation:

The midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

The midpoint of the line segment NK is given by

(\frac{0+2b}{2},\frac{0+2c}{2})

∴R(b,c)

The slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Slope of RS is

m_{RS} =\frac{c-c}{a+d-b} = 0

Hence

coordinates of R(b,c)

and slope of NM is 0.

galina1969 [7]3 years ago
6 0

the coordinates of R are (b,c)

the coordinates of S are (a+d,c)


the slopes of all the segments is 0

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Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will
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Answer:

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A = 1000(1 + 0.001)¹²⁰ = $1127.43

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A = 1500(1 + 0.0035)⁴⁰ = $1724.99

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$2000 compounded continuously at 0.9 %

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