Question

Given that BDFHJ ~ QSUWY, what is YQ?





A.
76


B.
78


C.
87


D.
96

Answer 1

http://static.k12.com/calms_media/media/1421000_1421500/1421043/1/5c8c0dadfc6c632953c6e5dd9c2749232c37c09c/MS_Alg_130924_281855.jpg

Answer 2

i was thinking a @izuru

Answer 3

Look at which sides correspond to one another.

Answer 4

60,65?

Answer 5

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?

Answer 6

so its C

Answer 7

@izuru ?

Answer 8

guys??

Answer 9

guys come on are you there @izuru @AaronAndyson

Answer 10

@mathway @mathstudent55

Answer 11

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

Answer 12

ok so i'm getting C

Answer 13

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

Answer 14

YQ corresponds to BJ

\(\dfrac{YQ}{BJ} = \dfrac{QS}{BD}\)

\(\dfrac{YQ}{60} = \dfrac{72}{45}\)

\(\dfrac{YQ}{60} = \dfrac{8}{5}\)

\(5(YQ) = 8 \times 60\)

\(YQ = 96\)

Answer 15

this took way to long but thank you anyways.