Question

Segment BD is a perpendicular bisector of segment AC. AB = 9x and CB = 5x +16. What is the length of CB?

https://static.k12.com/nextgen_media/assets/8074850-NG_GMT_F_03_U03_Quiz_NP024_109_prompt.jpg

Answer 1

May I help?

Answer 2

yes please

Answer 3

Thank you.

Answer 4

Are you familiar with that shape?

Answer 5

yes :)

Answer 6

What is the case of there triangles?

Answer 7

um i don't understand?...

Answer 8

Similar or congruent?

Answer 9

oh congruent

Answer 10

Great!
Then what do you conclude from congruence?

Answer 11

that they are identical?

Answer 12

and what about sides?

Answer 13

that they are congruent

Answer 14

which means that BA=BC ok?

Answer 15

yes

Answer 16

Great! and what are there magnitudes?

Answer 17

like the angle measurement?

Answer 18

I am talking about the lengths of the sides BA and BC!!

Answer 19

sorry.. i'm just a little confused.

BA is 9x
and
BC is 5x + 16

Answer 20

is that what you were asking?

Answer 21

Can you equate them?

Answer 22

no
idk how

Answer 23

Ok
BA=BC
9x=5x+16

Does it make sense now?

Answer 24

oh alright

Answer 25

got it?

Answer 26

yes

Answer 27

Can you solve for x now?

Answer 28

I think it is easy now

Answer 29

x=4

Answer 30

was I right?

Answer 31

Correct!
Congratulations!

Answer 32

YAAYYYY!! thank youuu I have some more if you will help me

Answer 33

please :)

Answer 34

Thank you for the medal!

Any Help... Anytime.

I will help as much as I know and as I can.

Answer 35

okiee! Thank you so much

Answer 36

You are welcome!

Answer 37

Segment BD is a perpendicular bisector of segment AC. m∠DAB=55° , and m∠DCB=(11x)°
What is the value of x?

Answer 38

with the same image in the above question

Answer 39

The same principle: equal corresponding angles.

Answer 40

ok

Answer 41

then:
<DAB=<DBC not DCB

Answer 42

so 55 = (11x)
right?

Answer 43

and x would equal 5

Answer 44

Correct!
You got it!

Answer 45

yaaasss!!! okay one more

Answer 46

No problem.

Answer 47

What is m∠KNL

https://static.k12.com/nextgen_media/assets/8080665-NG_GMT_F_03_U03_Quiz_06.png

Answer 48

Can we start in new post, please?

Answer 49

yes sorry

Answer 50

Not at all!