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Mathematics 30 Online
Comerpickles:

Help me please http://prntscr.com/i0sx3j

Comerpickles:

@Vocaloid

Comerpickles:

I've been trying to see if I can mash them up myself. Is it 5/8=x/15?

Comerpickles:

Still rusty on this that part, but solving is easy XD

Vocaloid:

almost you need to make sure the ratio matches the type of side for example, each triangle has one side next to the angle and one across

Vocaloid:

|dw:1516035842937:dw|

Vocaloid:

|dw:1516035849345:dw|

Vocaloid:

5/8 = 15/x

Comerpickles:

Darn it

Comerpickles:

x=24

Vocaloid:

good.

Comerpickles:

I may need help with some more. Not sure at the moment but I'll give a holler if I do

Comerpickles:

http://prntscr.com/i0t233 Wouldn't this be the Definition of Congruent Angles since these two are the same figure?

Vocaloid:

I'd have to think a bit more about this one

Comerpickles:

Okie dokie

Vocaloid:

I think I almost have the proof just need to figure out how to prove that BC and AF make 90 degree angles thus proving AA similarity

Comerpickles:

Well I have this here if it helps http://prntscr.com/i0t7et

Vocaloid:

yeah that should be congruent angles not angle addition postulate

Vocaloid:

ADB and CDF are the vertical congruent angles, not BAD and CAD

Vocaloid:

in the last step you are substituting AC for FC so this is the substitution property of equality not definition of congruent angles that's it for your proof

Comerpickles:

Okie dokie, should be just equation steps from here

Comerpickles:

http://prntscr.com/i0ta2d

Vocaloid:

try to recall the triangle proportionality theorem AB/BD = AC/CE find AC. you are given all the other sides

Comerpickles:

8/10=x/15?

Vocaloid:

yes

Comerpickles:

YAY

Comerpickles:

x=12

Vocaloid:

good

Comerpickles:

Excuse my sloppy mouse work http://prntscr.com/i0tc64

Vocaloid:

judging by the way you have set it up it needs to be 4/x remember that each ratio must divide corresponding sides

Comerpickles:

Darn it

Comerpickles:

x=3

Vocaloid:

good

Vocaloid:

notice how in step 4 we are substituting dbc for abd --> substitution property of equality

Vocaloid:

|dw:1516037761173:dw|

Vocaloid:

|dw:1516037772087:dw|

Vocaloid:

bae and abd are alternate interior angles (step 5)

Vocaloid:

step 8 is the triangle proportionality theorem |dw:1516037877507:dw|

Vocaloid:

that's it

Comerpickles:

So 4 is Transitive Property?

Vocaloid:

oh yeah (I didn't realize substitution property wasn't a choice) so transitive

Comerpickles:

XD

Comerpickles:

Very last one

Comerpickles:

http://prntscr.com/i0tmrt

Comerpickles:

Easy

Vocaloid:

for both ratios write side across the angle/side next to the angles (it could be the other way around as long as you are consistent with both ratios) so (2x-1)/9 = 3x/15

Comerpickles:

x=5

Vocaloid:

good

Comerpickles:

Thanks for the help bro. I'll have to tip you someday. When I get money though

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