Question

Given PQRS is a parallelogram, find the value of x and the value of y* Р 0 (4y + 7) 13x + 15 19x - 9 (10y - 37) S R 4 5 6 7 10 14 15 None of these y= horollalaram find the msc. (do not enter units) * 3 points

Answer 1

If PQRS is a parallelogram, we know that:

- PS and QR have the same length.

-

Then, we can calculate x as:

`\begin{gathered} PS=QR \\ 13x+15=19x-9 \\ 13x-19x=-9-15 \\ -6x=-24 \\ x=(-24)/(-6) \\ x=4 \end{gathered}`

And we can calculate y as:

`\begin{gathered} m\angle Q+m\angle R=180\degree \\ (4y+7)+(10y-37)=180 \\ 14y-30=180 \\ 14y=180+30 \\ 14y=210 \\ y=(210)/(14) \\ y=15 \end{gathered}`

Answer: x=4 and y=15