Question

help please
Segment BDSegment BD is a perpendicular bisector of segment ACsegment AC . AB=9xAB=9x and CB=5x+16CB=5x+16 .

What is the length of CB¯¯¯¯¯CB¯ ?

Enter your answer in the box.
https://static.k12.com/nextgen_media/assets/8074850-NG_GMT_F_03_U03_Quiz_NP024_109_prompt.jpg

Answer 1

did you get anywhere with it yet?

Answer 2

nope i wasnt there when they taught the lesson

Answer 3

The perpendicular bisector BD - is at right angle to AC and splits AC into 2 equal parts, so AD = DC

Answer 4

If you look at the two inner triangles, you can say they are congruent from the Side-Angle-Side theorem, Bottom,Right angle, and BD.

Answer 5

that all make sense?

Answer 6

yes im getting it

Answer 7

Corresponding parts of congruent triangles are equal, so the diagonals are the same length
AB = BC

Answer 8

They tell you what AB and CB are in the problem, AB=9x and CB=5x+16

Answer 9

AB=CB
9x = 5x + 16
4x = 16
x=4

if x is 4, then CB=5*4+16 = 36

Answer 10

so 36 units?

Answer 11

yeah, you understand everything?

Answer 12

yes i get it thank you so much could you check my answers on other problem?

Answer 13

sure

Answer 14

Segment BDSegment BD is a perpendicular bisector of segment ACsegment AC . AD=8x−15AD=8x−15 and DC=57DC=57 .

What is the value of x?

Enter your answer in the box.
for this one i got 9
(same pic)

Answer 15

AD = DC
8x - 15 = 57

yeah x=9, good

Answer 16

Segment BDSegment BD is a perpendicular bisector of segment ACsegment AC , m∠DAB=64°m∠DAB=64° , and m∠DCB=(4x)°m∠DCB=(4x)° .

What is the value of x?

Enter your answer in the box.

Answer 17

for that one im stuck

Answer 18

Same start, the two inner triangles are congruent. Corresponding sides and angles of congruent triangles are equal. So those two given angles are the same