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Mathematics 56 Online
princeevee:

i need someone to check my answers

princeevee:

1 attachment
princeevee:

@Vocaloid back yet?

Vocaloid:

hm, not quite. the altitudes have the same scale factor as the sides do so TV/ZX = SU/WY plug in everything and solve for WY

princeevee:

so it was A? that was actually my first choice but i thought it wasnt it

Vocaloid:

good, A

princeevee:

1 attachment
Vocaloid:

hm. I got something a little different. LM/RQ = MO/RT solve for MO

Vocaloid:

still there? plugging in the sides gives us 12.6/3 = MO/4.5 MO = ?

princeevee:

B?

Vocaloid:

check your calculations again 12.6/3 = MO/4.5 multiplying both sides by 4.5, gives us: (12.6/3)*4.5 = MO = ?

princeevee:

18.9

Vocaloid:

good

Vocaloid:

gonna go out to run a quickish errand be back soon

princeevee:

okay

princeevee:

1 attachment
Vocaloid:

check your proportion again side of big triangle/side of small triangle = altitude of big triangle/altitude of small triangle

princeevee:

i did a bit more, and i got somewhere near D

Vocaloid:

good

princeevee:

1 attachment
Vocaloid:

good

princeevee:

1 attachment
Vocaloid:

remember what we said earlier side of big triangle/side of small triangle = altitude of big triangle/altitude of small triangle D follows this set up exactly so D is not the solution

jhonyy9:

check it again bc. the last one is true

Vocaloid:

it asks for the proportion that is not true so you want the ratio that is ~not~ comparing corresponding sides or altitudes in the right order

jhonyy9:

you need getting what choice not is proportionality of corresponding sides

jhonyy9:

@princeevee do you understand it ?

princeevee:

slightly

jhonyy9:

ok begin it step by step 1. to side DB correspond side PN - yes ?

princeevee:

yeah..

jhonyy9:

so to side CD correspond side PM ?

jhonyy9:

@princeevee how you think it please ?

princeevee:

what?

jhonyy9:

to side AD correspond side MP in this case to side CD what side will correspond ?

jhonyy9:

|dw:1529264284448:dw|

Vocaloid:

they're just asking you what side corresponds with CD look at the position of CD on the big triangle and find the matching side on the small triangle.

princeevee:

PO?

jhonyy9:

so than to CD correspond PO in this case the first choice may be true ?

Vocaloid:

good now look at the first answer choice again is the proportion comparing corresponding parts?

jhonyy9:

courage @princeevee this is easy

Vocaloid:

|dw:1529264797607:dw|

Vocaloid:

let's highlight what is being compared with the two ratios DB/PN|dw:1529264814396:dw|

princeevee:

alright...

Vocaloid:

now CD/PM |dw:1529264839580:dw|

Vocaloid:

are the ratios equal?

princeevee:

yeah?

Vocaloid:

are PM and CD corresponding sides?

princeevee:

no?

Vocaloid:

then the ratios are not equal

Vocaloid:

that being said what is the final solution?

princeevee:

A?

Vocaloid:

good

princeevee:

1 attachment
Vocaloid:

good

princeevee:

1 attachment
Vocaloid:

hm not quite CD/PO = DB/PN plug the sides in and solve for DB

princeevee:

wait, C?

princeevee:

hang on, i'm not getting this much..

Vocaloid:

C is correct CD = x PO = y PN = z plugging them in gives us x/y = DB/z so xz/y

princeevee:

1 attachment
Vocaloid:

not quite remember we want the ratio that is comparing sides that are ~not~ corresponding

Vocaloid:

try to go through each answer choice, highlight the lines that are being compared, then see if two sets of corresponding sides are being compared or not

princeevee:

C?

Vocaloid:

|dw:1529266051474:dw|

Vocaloid:

|dw:1529266056090:dw|

Vocaloid:

C is comparing the corresponding line segments so C cannot be the solution

Vocaloid:

we would want the ratio where ~non~ corresponding parts are being compared

princeevee:

only one i'm thinking of left is A

Vocaloid:

hint: are BC and KL corresponding sides?

princeevee:

no.

Vocaloid:

then do you think altitude of big triangle/altitude of small triangle = BC/KL?

princeevee:

ah, alright then!

princeevee:

1 attachment
Vocaloid:

good

princeevee:

1 attachment
Vocaloid:

hm, not quite, those aren't corresponding sides so the ratio won't be equal you can set up a ratio with LM/PQ = LJ/PN try to plug all the # values in and see which ratio you get

Vocaloid:

looking at the diagram... LM = 0.9 PQ = 1.4 LJ = 0.7 plugging these into LM/PQ = LJ/PN gives us...?

princeevee:

0.9/1.4 = 0.64

Vocaloid:

notice how the answer choices just have the ratios set up but not solved you don't have to solve the ratio, just plug the side values into LM/PQ = LJ/PN and see which answer choice matches.

princeevee:

A?

Vocaloid:

good.

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