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3 years ago

PLEASE HELP ME THANKS SO Much

Mathematics

1 answer:

allochka39001 [22]3 years ago

8 0

9514 1404 393

Answer:

(b) x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

AB/CB = AE/CD

(x+2)/(x -4) = 12/4

x +2 = 3(x -4) . . . . . . multiply by x-4

x +2 = 3x -12 . . . . . . eliminate parentheses

14 = 2x . . . . . . . . . . . add 12-x

7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

In summary, ...

x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

Additional comment

Please note the other choices make no sense.

(a) AB = x +2 = -5 +2 = -3 ≠ -9

(d) segment lengths are never negative in a geometrical figure

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