## anonymous one year ago Given that BDFHJ ~ QSUWY, what is YQ? A. 76 B. 78 C. 87 D. 96

1. anonymous
2. anonymous

i was thinking a @izuru

3. anonymous

Look at which sides correspond to one another.

4. anonymous

60,65?

5. anonymous

One corresponding side is JH~QS. The proportion is $\frac{ 66 }{ 72 }$. Also, another side of corresponding sides are JB~YQ. What's the proportion for JB~YQ?

6. anonymous

so its C

7. anonymous

@izuru ?

8. anonymous

guys??

9. anonymous

guys come on are you there @izuru @AaronAndyson

10. anonymous

@mathway @mathstudent55

11. mathstudent55

From the statement of similarity of two polygons, you can tell which sides are corresponding sides.

12. anonymous

ok so i'm getting C

13. mathstudent55

Using these letters --------> We know these sides are corresponding $$\color{red}{BD}FHJ \sim \color{red}{QS}UWY$$ -----> BD and QS $$B\color{red}{DF}HJ \sim Q\color{red}{SU}WY$$ -----> DF and SU $$BD\color{red}{FH}J \sim QS\color{red}{UW}Y$$ -----> FH and UW $$BDF\color{red}{HJ} \sim QSU\color{red}{WY}$$ -----> HJ and WY $$\color{red}{B}DFH\color{red}{J} \sim \color{red}{Q}SUW\color{red}{Y}$$ -----> BJ and QY

14. mathstudent55

YQ corresponds to BJ $$\dfrac{YQ}{BJ} = \dfrac{QS}{BD}$$ $$\dfrac{YQ}{60} = \dfrac{72}{45}$$ $$\dfrac{YQ}{60} = \dfrac{8}{5}$$ $$5(YQ) = 8 \times 60$$ $$YQ = 96$$

15. anonymous

this took way to long but thank you anyways.