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4 years ago

If MP = 6x – 5, QR = 3x + 1, and RN = 6, what is QN?

Mathematics

1 answer:

NeTakaya4 years ago

7 0

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

$MP=QN$

$MP=QR+RN$

Substitute the given values.

$6x-5=3x+1+6$

$6x-5=3x+7$

$6x-3x=5+7$

$3x=12$

$x=4$

The value of x is 4.

$QN=MP=6x-5=6(4)-5=24-5=19$

Hence, the measure of QN is 19 units.

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