Question

What is the value of r ?

What is the length of segment Ef?

Answer 1

Hey mate here is your answer

Since opposite sides of parallelogram are equal therefore

9r-6=8r+3

r=9

EF=4r+19{opposite sides of parallelogram are equal}

=4×9+19

36+19

=55

Here is you answer.

Answer 2

The value of r is 9 and the length of segment EF is 55 units.

Step-by-step explanation:

Since EFCD is a parallelogram,

So,we know that

Opposite sides are equal.

So, according to this statement, we get that

EF = CD

$9r-6=8r+3\\\\9r-8r=3+6\\\\r=9$

So, the value of r is 9 and length of segment of EF would be

$4r+19=4(9)+19=36+19=55$

Hence, the value of r is 9 and the length of segment EF is 55 units.

# learn more:

The length of a line segment AB is 2/3 of the length of the line segment CD.the length of another line segment EF is 3/8 of the length of the line segment AB.what fraction of the length of CD is equal to the length of EF? if CD=4cm then find the length of EF.

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