Given the median QR and trapezoid MOPN, what is the value of x?

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

As QR is the median of trapezoid MOPN,

$QR = \frac{QP + MN}{2}\\\\27 = \frac{5x - 7 + 6x + 6}{2}\\\\27 = \frac{11x - 1}{2}\\\\Cross multiply\\27 \times 2 = 11x - 1\\\\54 = 11x - 1\\\\Add 1 on both sides \\54 + 1 = 11x -1 + 1\\55 = 11x\\\\Divide both side by 11\\\frac{55}{11} = \frac{11x}{11}\\\\x = 5$

Option D is the answer

Liono4ka [1.6K]2 years ago

5 0

A yoooooo its 5 dude

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Explanation:

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$\begin{gathered} x=x^{\prime}+5 \\ x^{\prime}=x-5 \\ y=y^{\prime}+6 \\ y^{\prime}=y-6 \\ So,\text{ the translation rule becomes;} \\ T(x,y)=(x-5,y-6) \end{gathered}$

The translation is;

$T(x,y)=(x-5,y-6)$

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