If NQZ ~ CBK, find BK

65

Step-by-step explanation:

if they are similar their sides are in proportion and so are the corresponding medians

to see their corresponding sides line up the names of the triangles

N  Q  Z

⇵⇵⇵

C  B  K

BK / QZ = 45/27 ; substitute whit what you see in the picture

(4x+1) / (2x+7)  = 45/27 ; cross multiply

27( 4x+1) = 45( 2x+7) ; distribute

108x + 27 = 90 x + 315; subtract 90x and 27 from both sides

108x -90x = 315 -27; combine like terms

18x = 288; divide both sides by 18

x=16

BK = 4* 16 +1 = 65

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d