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3 years ago

Find QN. Please show all the work on how you got your answer

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

QN = 28

Solution:

Given MNPQ is a parallelogram.

QT = 4x + 6 and TN = 5x + 4

To find the length of QN:

Let us solve it using the property of parallelogram.

Property of Parallelogram:

Diagonals of the parallelogram bisect each other.

Therefore, QT = TN

⇒ 4x + 6 = 5x + 4

Arrange like terms together.

⇒ 6 – 4 = 5x – 4x

⇒ 2 = x

⇒ x = 2

Substitute x = 2 in QT and TN

QT = 4(2) + 6 = 14

TN = 5(2) + 4 = 14

QN = QT + TN

= 14 + 14

QN = 28

The length of QN is 28.

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Given:

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Subtract 6 from both sides.

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Therefore, the equation of line is $y=\dfrac{4}{5}(x)-\dfrac{18}{5}$ .

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