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matrenka [14]
1 year ago
12

RV=y+27 and TV=3y–17, find RV in parallelogram RSTU. T S R U V

Mathematics
1 answer:
zaharov [31]1 year ago
6 0

Answer:

RV = 49 units

Step-by-step explanation:

in parallelogram RSTU , the diagonals bisect each other, then

TV = RV , that is

3y - 17 = y + 27 ( subtract y from both sides )

2y - 17 = 27 ( add 17 to both sides )

2y = 44 ( divide both sides by 2 )

y = 22

Then

RV = y + 27 = 22 + 27 = 49 units

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Step-by-step explanation:

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TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

m_{NA} = (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>

m_{TS} = (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>

From (1) and (2) ⇒ NA║TS

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