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Mathematics 16 Online
OpenStudy (mathmath333):

Geomatry question

OpenStudy (anonymous):

@mathmath333 i have that same pic on my computer

OpenStudy (anonymous):

**Geometry What can I help you with?

OpenStudy (mathmath333):

|dw:1431020833251:dw|

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align}\dfrac{BP}{PC}=\dfrac{2}{3}\hspace{.33em}\\~\\ \dfrac{AQ}{QC}=\dfrac{1}{3}\hspace{.33em}\\~\\ \text{Find}\quad \dfrac{AS}{SP}=? \end{align}}\)

OpenStudy (rational):

is the answer 5/6 ?

OpenStudy (mathmath333):

yes \(\dfrac{5}{6}\)

OpenStudy (mathmath333):

what construction u used

OpenStudy (rational):

|dw:1431023638206:dw|

OpenStudy (mathmath333):

ok cool , u did it like previous problem

OpenStudy (rational):

Yes \[\frac{AS}{SP}=\frac{b+3b}{3a}=\frac{4}{3}(\frac{b}{a})\] that ratio \(\frac{b}{a}\) equals \(\frac{5}{8}\) by manipulating the areas

OpenStudy (mathmath333):

for second relation u used which triangles

OpenStudy (rational):

not so sure if there is a more simpler way, but i have used this http://www.wolframalpha.com/input/?i=solve+%282%2F3%283a%2B4b%29-2a%2Bb%29%2F%285a%2B3b%29%3D1%2F3

OpenStudy (mathmath333):

|dw:1431028240097:dw|

OpenStudy (mathmath333):

BQ \(||\) PX

OpenStudy (mathmath333):

|dw:1431028357537:dw|

OpenStudy (mathmath333):

|dw:1431028472276:dw|

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