Question

@Angle

Answer 1

ok, so I'm guessing that they want us to assume that angles ACD and angle BCD are equal to each other

Answer 2

i guess so

Answer 3

because of that, the ratio
\(\large \frac{x}{5}\) should equal \(\large \frac{4.2}{6}\)

Answer 4

okay

Answer 5

do you think you can solve for x from there?

Answer 6

yeah i can try :)

Answer 7

4?

Answer 8

3.5

Answer 9

oooo yup! 3.5 if correct ^_^

Answer 10

yay :)

Answer 11

now give her da medal

Answer 12

u ned to give her medal, and make new post so u can give her more medals !

Answer 13

lol bob x'D don't be so pushy about it, it's fine right here
I don't really need all those medals

Answer 14

me know

you're a good person, too humble for medals, me too greedy

Answer 15

lmao i see XD

Answer 16

ok, so we're given that BD bisects ABC

so this means that which two angles are equal to each other?

Answer 17

db cb?

Answer 18

BD bisects <ABC means that
< DBC = < ABD

Answer 19

oh -_-

Answer 20

im not very good at this

Answer 21

nah, you've been understanding some other ones which is already really good ^_^ this is a tough subject if you're not used to knowing where to look

Answer 22

i missed out on two years of math on account of my mom, soo yeah, im pretty behind in the know how department

Answer 23

well you're doing great so far, I'm proud of you ^_^

Answer 24

so would it be alternate exterior? and thank you :) i would be completely lost without your help

Answer 25

ok
so
I said:
BD bisects <ABC means that
< DBC = < ABD

I highlighted the key word this time ;)

Answer 26

thats what i originally thought

Answer 27

that's good, that means you have good intuition ^_^

Answer 28

:)

and the last one?

Answer 29

oh oh oh oh wait
I think I misunderstood something

so the first blank is Bisector

then the second blank you thought was alternate exterior angles?

Answer 30

yea

Answer 31

ohhh then that was my bad
I didn't realized you were talking about the second blank there

so alternate exterior would be correct for that one, sorry

Answer 32

wait, i have the second blank as bisector and the first as alternate ext.

Answer 33

yeah, I got confused, that was my fault

I meant to say that the first on is bisector and the second is alternate ext

Answer 34

BD bisects <ABC means that
< DBC = < ABD this is the same angles mentioned in the first blank

Answer 35

okay

Answer 36

alternate interior?

Answer 37

wait no

Answer 38

im lost -_-

Answer 39

yeah, sorry, I got lost too

so
first blank: bisectors

second blank: alternate interior
because

Answer 40

then in line 7, we have AB = EB
line 8, we have EB/BC
which gets turned into
AB/BC in line 9

which means the blank in line 9 is....?

> EB is replaced with AB going from line 8 to line 9

Answer 41

substitution?

Answer 42

exactly :D

Answer 43

awesome lol sorry its taking so long. this is the last question

Answer 44

it's no problem ^_^

Answer 45

so this is a similar idea to the one from before
it's about ratios

how do you think you can set it up? :)

Answer 46

honestly, i have no idea

Answer 47

I'm just gonna label this D to explain things better

Answer 48

Then for similar triangles

the ratio of DB / BA
is equal to the ratio of DC / CA

so
\(\large \frac{DB}{BA} = \frac{DC}{CA}\)

does this make sense?

Answer 49

yes, kind of

Answer 50

here's a website where you can drag around the triangle's points to see how similar triangles maintain their ratios to each other
https://www.mathopenref.com/similartriangles.html

Answer 51

with this rule, we can get that

\(\huge \frac{2x-1}{9} = \frac{3x}{15}\)

could you solve for x with this? :)

Answer 52

yea

Answer 53

5!

Answer 54

awesome! you got it :D

Answer 55

i promise after this i'll leave you alone but youre the only one whos been able to really help me. would you mind telling me if i got the answers right on the ones i tried by myself?

Answer 56

Here's an example for how similar triangles have the same ratio:
the smaller triangle has sides that give the ratio 2/3
then the bigger triangle has the same respective sides of a ratio x/9
where x = 6

because 2/3 = 6/9

hopefully this makes a little more sense?

Answer 57

and sure, I don't mind checking your answers ^_^

Answer 58

yes and thank you very much.

Answer 59

ok, so this one is not quite correct, but you're really close!

Answer 60

\(\huge \frac{12}{18} = \frac{10}{x}\)

Answer 61

15?

Answer 62

yup!

Answer 63

hmmm I don't think two pairs of angles are labeled in the picture

what I do see are two sides and one angle being labeled for each triangle

Answer 64

so it would be SAS?

Answer 65

yup :)

Answer 66

hmm how did you get that answer?

Answer 67

the opposite side XD

Answer 68

try this then
\(\huge \frac{x}{6} = \frac{42}{36}\)

Answer 69

7

Answer 70

there you go :P

Answer 71

going from the side that is (4) long, to the corresponding side that is (20) long is (4) x 5
going from the side that is (5) long, to the corresponding side that is (25) long is (5) x 5

Answer 72

35
then i added everything together

Answer 73

:blinks:

OHHHHH
I misread the question!
that was entirely my fault
so you're correct then!
great job ^_^"

Answer 74

okay lol thanks

Answer 75

\(\huge \frac{8}{10} = \frac{x}{15}\)

Answer 76

12

Answer 77

that's it :)

Answer 78

Are there any more? :3

Answer 79

yes sorry my grandma needed help with something

Answer 80

actually, no thats it. thank you soooo much for all your help. hope you have a good night :)

Answer 81

I'm glad I could help ^_^
good night :)