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CD = 69, BC = 10x + 3. AD = 18x + 44,and AB= 7x- 20. Find BC.

Sagot :

Answer: A) 83

Explanation:

Representing this segments in a number line, and supposing that they are arranged in alphabetical order:

Here we can see that if we sum all of the segments they must be equal to 18x+44:

[tex]7x-20+10x+3+69=18x+44[/tex]

Combining like terms:

[tex]17x+52=18x+44[/tex]

Now we move all of the terms with x to the right side and all of the independent numbers to the left side:

[tex]\begin{gathered} 52-44=18x-17x \\ 8=x \end{gathered}[/tex]

And now that we know the value of x, we can find BC:

[tex]\begin{gathered} BC=10x+3 \\ BC=10(8)+3 \\ BC=80+3 \\ BC=83 \end{gathered}[/tex]

Which is option A)

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