What is the answer please

BD=25 1/3

Step-by-step explanation:

BC+CD=BD

11+x+9=4x+4

x=16/3

BD=4x+4

BD=4(16/3)+4

BD=64/3 +4 ⇒ 64/3 +12/3

BD=76/3

Step-by-step explanation:

Since C is a point in BD, we add BC and CD, then set it equal to BD.

11+x+9=4x+4                              [combine like terms]

20+x=4x+4                                 [subtract both sides by x]

20=3x+4                                     [subtract both sides by 4]

16=3x                                          [divide both sides by 3]

x=16/3

Now that we have x, we plug it into BD to find the length.

BD=4(16/3)+4                            [multiply]

BD=64/3+4                                [rewrite 4 into fraction]

BD=64/3+12/3                           [add]

BD=76/3

Since this is not a proper fraction, we can write it as a mixed number.

the answer is b