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Mathematics 21 Online
princeevee:

i need some help please

princeevee:

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princeevee:

@Vocaloid

princeevee:

my guess is that it's somewhere in the 60's or below, but i dont know a definitive answer

Vocaloid:

MA = 80.5 - 35 then you just set up a ratio between corresponding sides of the big triangle and the smaller triangle at the top, such that MA/MN = x/MP

princeevee:

so 1.14?

princeevee:

@Vocaloid

Vocaloid:

check your calculations again (80.5-35)/80.5 = x/96.6

princeevee:

0.56?

Vocaloid:

cross multiplying gives us 0.565217 = 0.010352x x = about 54.6

princeevee:

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princeevee:

do i mostly do the same thing as the last one?

Vocaloid:

same thing as last time. the sides of the small triangle are proportional to the big triangle so 6/(6+48) = 5/(5 + 3x + 7)

princeevee:

11

Vocaloid:

good, 11 = your solution

princeevee:

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Vocaloid:

eh I had to look this up but according to the angle bisector theorem BD/DC = AB/AC so x/3 = 3.2/4 i think?

princeevee:

x=2.4?

Vocaloid:

yeah that's what i got too

princeevee:

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Vocaloid:

same logic as last time (x+4)/58 = 55/63.8

Vocaloid:

|dw:1548276434879:dw|

princeevee:

46

Vocaloid:

yeah that's what i got too

princeevee:

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Vocaloid:

a leg of a triangle **can never** be longer than the hypotenuse remember, hypotenuse^2 = leg^2 + leg^2, solve for the other leg

princeevee:

12.6?

Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

hm check the way you set up your proportion. you can also visually insepct that x must be in the 40-60 range-ish (46.2-14)/46.2 = x/72.6

princeevee:

50.6

Vocaloid:

good

princeevee:

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Vocaloid:

check the set up again 11/(11+121) = 10/(10+5x+10)

princeevee:

20

Vocaloid:

good

princeevee:

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Vocaloid:

actually nvm if you use triangle proportionality theorem that's right

princeevee:

alright

princeevee:

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Vocaloid:

if we let WZ = x, then YW = (8-x) and the proportion becomes x/(8-x) = 6/6.5

Vocaloid:

idk why they tell you not to round your answer though, I don't think the answer is rational

princeevee:

3.84?

Vocaloid:

yeah that's what i got too

princeevee:

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Vocaloid:

almost x/4 = 4.5/5 cross multiplying gives us 5x = 18 x = 18/5 = 3.6 not 3.5

jhonyy9:

princeeve question ?

princeevee:

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jhonyy9:

@Vocaloid pardon for your interfer but i think there is something wrong

jhonyy9:

bc. BD is angle bisector so this mean that divide the side AC in two equal parts

jhonyy9:

given that BD is angle bisector and not altitude

jhonyy9:

so my opinion that AD = DC = 4

Vocaloid:

an angle bisector does not necessarily divide the opposite side in two congruent segments. |dw:1548283215954:dw|

Vocaloid:

anyway for this next problem you just have to set up the angle bisector proportion again 62/(x+2) = 99.2/112

princeevee:

68?

Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

I'm really not supposed to help with these, just check to make sure to plugged everything in the pythagorean theorem correctly and you should be ok

Vocaloid:

being a unit test and all

princeevee:

fair enough

princeevee:

well, i got a good grade on it anyway, i still have some more tests to makeup, if you still would like to help

Vocaloid:

alright

princeevee:

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Vocaloid:

set up a ratio btwn corresponding sides 38/15.2 = 55/x

princeevee:

that's 22?

Vocaloid:

awesome, 22 = your sol'n

princeevee:

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Vocaloid:

hm check again small triangle long leg/small triangle short leg = big long leg/big short leg (3x+1)/12 = 4x/(12+3)

princeevee:

5?

Vocaloid:

good

princeevee:

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princeevee:

is x 21?

Vocaloid:

hm i don't think so using triangle proportionality i get 39/26 = x/18

princeevee:

27, so i was close

princeevee:

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Vocaloid:

good guess but they share one similar side, the angle in between (the angle at the top of the triangle) and the right side so SAS

princeevee:

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Vocaloid:

hm, pqr doesn't work (for AA to work both triangles must have the same angle) as a hint try calculating the missing angle in MNO

princeevee:

so the first answer?

Vocaloid:

good

princeevee:

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Vocaloid:

check again, you are given no angles so you cannot use sas

princeevee:

so SSS

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

the big triangle is three times the small triangle so 39 = 3(x-10) solve for x

princeevee:

23 then

Vocaloid:

ah sorry got distracted by work that's correct

princeevee:

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Vocaloid:

9/(2x+4) = 6/(x+4) i think

princeevee:

4?

Vocaloid:

good

princeevee:

alright, thank you.

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