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LenaWriter [7]
2 years ago
6

What is the answer please

Mathematics
2 answers:
gogolik [260]2 years ago
7 0

Answer:

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

otez555 [7]2 years ago
4 0

Answer: BD=25\frac{1}{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.

BD=25\frac{1}{3}

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