1. Segment A'B' is parallel to segment AB. What is the length of segment BB'? B
B
7
с
5
6
A
A
3
A. 3.5
B. 4
C. 10
D. 10.5

A. 3.5

Step-by-step explanation:

Given that AB is parallel to A'B', therefore,

CB/CB' = CA/CA'

CB' = 7

CB = CB' + BB' = 7 + BB'

CA' = 6

CA = CA' + AA' = 6 + 3 = 9

Plug in the values

(7 + BB')/7 = 9/6

(7 + BB')/7 = 3/2

Cross multiply

2(7 + BB') = 7(3)

14 + 2BB' = 21

Subtract 14 from both sides

2BB' = 21 - 14

2BB' = 7

Divide both sides by 2

BB' = 7/2

BB' = 3.5

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!