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2 years ago

#4. Find the value of x and use it to find the length of CE, BD, and BE Find BD.

Mathematics

1 answer:

almond37 [142]2 years ago

5 0

Answer:

x = 8
12 = BD
23 = BE
13 = CE

Step-by-step explanation:

We know that:

BD = 2x - 4
DE = 2x - 3 - 2
BE = 3x - 1
CE = 2x - 3

Solution:

(2x - 4) + (2x - 3 - 2) = 3x - 1
=> 2x - 4 + 2x - 3 - 2 = 3x - 1
=> 4x - 9 = 3x - 1
=> 4x - 3x = 9 - 1
=> x = 8
=> 2x - 4 = BD
=> 2(8) - 4 = BD
=> 16 - 4 = BD
=> 12 = BD
=> 3x - 1 = BE
=> 3(8) - 1 = BE
=> 24 - 1 = BE
=> 23 = BE
=> 2x - 3 = CE
=> 2(8) - 3 = CE
=> 16 - 3 = CE
=> 13 = CE

Hence, the answers are:

x = 8
12 = BD
23 = BE
13 = CE

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