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Mathematics 15 Online
whitemonsterbunny17 (whitemonsterbunny17):

Can someone check to make sure that I am doing this type of problem correctly, please? Thanks! ^.^

whitemonsterbunny17 (whitemonsterbunny17):

Find the value of x. (I got x=18) Hold on while I draw the diagram.

whitemonsterbunny17 (whitemonsterbunny17):

|dw:1418859471391:dw|

OpenStudy (crashonce):

in a trapezium,

OpenStudy (crashonce):

|dw:1418859619112:dw|

OpenStudy (crashonce):

(a+c)/2 = b

OpenStudy (danjs):

similar shapes

OpenStudy (crashonce):

ONLY IF

OpenStudy (anonymous):

solve for x 7+x/2

OpenStudy (danjs):

\[\frac{ 7 }{ 11 } = \frac{ 11 }{ x }\]

OpenStudy (anonymous):

7+x/2=11 :)

OpenStudy (crashonce):

Remember it only works if it is the midpoint

OpenStudy (crashonce):

|dw:1418859750137:dw|

OpenStudy (crashonce):

the two are not necessarily similar @DanJS

whitemonsterbunny17 (whitemonsterbunny17):

It is the median. I know that the median is the average of the other numbers.. BUT.. I'm not really getting how to find the other side with the information I have.

OpenStudy (crashonce):

which line is the median a,b, or c

whitemonsterbunny17 (whitemonsterbunny17):

"b" is the median.

OpenStudy (crashonce):

i would say they are implying that it is the middle as i have drawn above

OpenStudy (crashonce):

the wording is a little off for Australian standards

OpenStudy (crashonce):

i would go for 11x2 = 7+? therefore ? = 15

whitemonsterbunny17 (whitemonsterbunny17):

Okay, but that's the part I don't get.. I understand the 11x + 2 part, but not the 7 + ? part.. Algebraically speaking, how do I solve this step-by-step?

OpenStudy (crashonce):

i meant a+c/2 = b

OpenStudy (crashonce):

therefore (7+x)/2 = 11

OpenStudy (crashonce):

thus 7+x = 22, meaning x = 15

whitemonsterbunny17 (whitemonsterbunny17):

I think I understand it now. ^.^ \(\LARGE\bf\color{red}{\bigstar~T}\color{gold}{_H}\color{lime}{A}\color{cyan}{^N}\color{blueviolet}{_K~~}\color{magenta}{Y}\color{orchid}{^O}\color{pink}{_U}\color{red}{!~\bigstar}\)

OpenStudy (crashonce):

no worries

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